A recipe for vegetable frittata calls for \( 10 \) chard leaves for every \( 6 \) eggs. Eggs are available either by the dozen for \( \$ 3.20 \) or by the half-dozen for \( \$ 1.70 \) . Marissa wants to use \( 25 \) chard leaves to make a frittata. What is the minimum she must spend on eggs to use all of the chard leaves while keeping the recipe in the correct proportion?
A) \( \$ 3.20 \)
B) \( \$ 4.00 \)
C) \( \$ 4.90 \)
D) \( \$ 5.10\)
One gram of fat is equivalent to \( 9 \) calories, \( 1 \) gram of protein is equivalent to \( 4 \) calories, and \( 1 \) gram of carbohydrates is equivalent to \( 4 \) calories. If a granola bar weighs \( 1.4 \) oz and is \( 37.5 \% \) fat by weight, \( 15 \% \) protein by weight, and \( 40 \% \) carbohydrates by weight, how many calories, to the nearest calorie, are in the granola bar, if \( 1 \) ounce is \( 28.34 \) grams?
With a certain medical insurance policy, the customer must first pay an annual \( \$ 350 \) deductible, and then the policy covers \( 70 \% \) of the cost of x-rays. The first insurance claims for a specific year submitted by a person are for two \( x \) -rays. The first x-ray cost \( \$ 670 \) , and the second \( x \) -ray cost \( \$ 940 \) . How much, in total, will he need to pay for these \( x \) -rays?
Manny has an investment account that compounds interest continuously at a rate of \( 3.1 \% \) . After \( 2 \) years, he has \( \$ 7500 \) in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Provide your answer below:
Alice is opening a savings account that earns \( 2.2 \% \) interest, compounded continuously. How much will she need to deposit in the account so that she has \( \$ 6,200 \) after \( 3 \) years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer. Provide your answer below:
Use similar triangles to solve. A person who is \( 6 \) feet tall is standing \( 130 \) feet from the base of a tree, and the tree casts a \( 143 \) foot shadow. The person's shadow is \( 13 \) feet in length. What is the height of the tree? A) \( 60 \) B) \( 66 \) C) \( 281.67 \) D) \( 73\)
A chemist has three different acid solutions. The first acid solution contains \( 25 \% \) acid, the second contains \( 35 \% \) and the third contains \( 80 \% \) . They want to use all three solutions to obtain a mixture of \( 84 \) liters containing \( 45 \% \) acid, using \( 2 \) times as much of the \( 80 \% \) solution as the \( 35 \% \) solution. How many liters of each solution should be used?
\( 1 fl \) . oz. of a \( 70 \% \) saline solution was mixed with \( 4 fl \) . oz. of a \( 80 \% \) saline solution. What is the concentration of the mixture?
For her birthday party Brenda mixed together \( 6 \) gal. of Brand A fruit punch and
\( 9 \) gal. of Brand B. Brand A contains \( 40 \% \) fruit juice and Brand B contains \( 10 \% \) fruit juice. What percent of the mixture is fruit juice?
A cattle train left Abuja and traveled toward Las Vegas at an average speed of \( 40 km / h \) . Sometime later a passenger train left traveling in the opposite direction with an average speed of \( 60 km / h \) . After the cattle train had traveled for \( 19 \) hours the trains were \( 940 km \) apart. Find the number of hours the passenger train traveled.
Beth and Totsakan left the hospital at the same time. They traveled in opposite directions. Totsakan traveled \( 10 mph \) faster than Beth. After six hours they were \( 300 mi \) . apart. Find Beth's speed.
\( 3 \) fl. oz. of a \( 90 \% \) alcohol solution was mixed with \( 6 fl \) . oz. of a \( 36 \% \) alcohol solution. Find the concentration of the new mixture.
You need a \( 60 \% \) alcohol solution. On hand, you have a \( 50 mL \) of a \( 10 \% \) alcohol mixture. You also have \( 70 \% \) alcohol mixture. How much of the \( 70 \% \) mixture will you need to add to obtain the desired solution?
Amy bove \( 250 \) miles lsing \( 9 \) gallons of gas. At this rate how many gallons of gas would'she need to drive \( 275 \) miles?
\(6 lbs \) . of mixed nuts containing \( 28 \% \) peantits were mixed withl12 lbs, of another kind of mixed nuts that contain \( 22 \% \) peanuts. What percent of the new mixture is peanuts?
A cattle train left Abuja and traveled toward Las Vegas at an average speed of \( 40 km / h \) . Sometime later a passenger train left traveling in the opposite direction with an average speed of \( 60 km / h \) . After the cattle train had traveled for \( 19 \) hours the trains were \( 940 km \) apart. Find the number of hours the passenger train traveled.
Francis is playing an online puzzle game. He has \( 25 \) points and earns \( 5 \) points for each puzzle he solves correctly. He will advance to the next round if his score is over \( 75 \) points.
Which inequality can Francis use to find how many more puzzles he must solve to advance to the next round?
A. \( 25 x + 5 > 75 \)
B. \( 5 x + 25 > 75 \)
C. \( 5 x + 25 < 75 \)
D. \( 5 x + 75 < 25\)
Bobby is working in a lab testing bacteria populations. After starting out with a population of \( 277 \) bacteria, he observes the change in population and notices that the population quadruples every \( 34 \) minutes.
Find the population after \( 2 \) hours. Round to the nearest bacterium.
The floor of a warehouse measures \( 70 \) feet in length by \( 60 \) feet in width, and the walls are \( 14 \) feet high. Approximate the cost of paint to cover the inside of the four outer walls. Paint is sold in \( 5 \) gallon buckets for \( \$ 63.50 \) each, and is advertised to cover \( 350 \) square feet per gallon.
A \( \$ 317.50 \)
B \( \$ 127 \)
C \( \$ 254 \)
D \( \$ 190.50\)
If a bathtub has a volume of \( 216,000 \) cubic inches, what is its volume in cubic feet?
A) \( 60 \) cubic feet
B) \( 125 \) cubic feet
C) \( 144 \) cubic feet
D) \( 216 \) cubic feet
Writing in Miaih How high is a siack of library books if one book is i \( \frac { 3 } { 8 } \) in. high, the second book is \( 1 \frac { 5 } { 6 } \) in. high, and the third is \( 2 \frac { 1 } { 3 } \) in. high? Explain how you solved this problem.
Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300. 5 prizes of $10, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket. E(X)= \(\square \) dollars(Round to the nearest cent as needed.)
You go to the doctor and he gives you \( 17 \) milligrams of radioactive dye. After \( 12 \) minutes, \( 6 \) milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than \( 2 \) milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
You will spend \(\square \) minutes at the doctor's office.
The shorter leg of a right triangle is \( 5 \) meters. The hypotenuse is \( 1 \) meter longer than the longer leg. Find the length of the longer leg.
What are all the different counting numbers to choose for the one's digit, \( A \) , in the number \( 5,724,35 \) A so the counting number, \( 5,724,35 A \) is divisible by \( 5 \) ? Select your answer from the following choices; answer may be one or more of the available choices.
(A) \( 0 \)
(B) \( 1 \)
(C) \( 2 \)
(D) \(3\)
(E) \(4\)
(F) \(5\)
(G) \(6\)
(H) \(7\)
(I) \(8\)
(J) \(9\)
A supermarket has a row of \( 30 \) avocados. Francis numbers those avocados from \( 1 \) through \( 30 \) and buys the first \( 4 \) whose numbers are multiples of \( 5 \) . List the numbers that correspond to these avocados (in order with commas separating them ... do not include any spaces).
\(\square \)
The half-life of Radium-226 is \( 1590 \) years. If a sample contains \( 400 \) mg, how many mg will remain after \( 2000 \) years?
\(\square \)
Give your answer accurate to at least \( 2 \) decimal places.
How many \( ml \) of \( 10 \) percent acid should be added to pure acid to make \( 60 ml \) of \( 50 \) percent acid? *
*Write your answer as a decimal rounded to the nearest thousandth, if necessary.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of \( 251.3 \) -cm and a standard deviation of \( 2.3 - cm \) . Answer the following to the nearest tenth of a cm. Find \( P _ { 48 } \) , which is the length separating the shortest \( 48 \% \) rods from the longest \( 52 \% \) .
Jay Low received scores of \( 87 \) and \( 98 \) on his first two exams of the grading period. At least what score must Jay earn on the next exam for the test average to be at least a \( 93 \) for the grading period?
Suppose an gift basket maker incurs costs for a basket according to \( C = 5 x + 150 \) . If the revenue for the baskets is \( R = 11 x \) where \( x \) is the number of baskets made and sold. Break even occurs when costs revenues.
Glaciers are large masses of ice that flow like rivers across the ground. Really, really slow rivers - did I mention that they're ice? Most move less than a foot per day. At one point, the San Rafael glacier in Chile was moving \( 0.338 \) inches per hour.
How long would it take the glacier to move the length of a football field ( \( 100 \) yards)? Write your answer in decimal notation rounded to the nearest tenth of an hour, then in scientific notation.
Before heading to Switzerland for a skiing vacation, Jamel checks a weather report, which predicts temperatures from \( - 5 { } ^ { \circ } C \) to \( 5 { } ^ { \circ } C \) while he and his family are there. Worried that he's going to almost freeze to death and have to get rescued by one of those St. Bernards with a barrel of wine around its neck, he converts the temperatures to Fahrenheit. What are the Fahrenheit equivalents? Round your answers to the nearest tenth if necessary.
The admission fee at a local zoo is \( \$ 1.50 \) for children and \( \$ 3.00 \) for adults. On a certain day, \( 1500 \) people enter the zoo and \( \$ 3,300.00 \) is collected. How many children and how many adults attended?
A plane can fly \( 320 \) miles in the same time as it takes a car to go \( 80 \) miles. If the car travels \( 120 \) mph slower than the plane, find the speed of the plane.
A certain bread recipe asks you to combine yeast and flour with \( 2 \) cups of warm \( 120 ^ { \circ } F \) water. If the water is hotter or colder than that, then the bread won't rise.
All you have available are hot tap water that is \( 140 ^ { \circ } F \) and ice that is \( 32 \) \( { } ^ { \circ } F \) .
How much hot tap water and ice should you mix together to get \( 2 \) cups of \( 120 ^ { \circ } F \) water?
Answer： cups of hot tap water.
cups of ice.
Which of the following word problems are a "How Many Groups" question? Select all that apply.
(A) If \( 252 \) rolls are to be put in packages of \( 12 \) , then how many packages of rolls can be made?
(B) If you have \( 506 \) stickers to give out equally to \( 23 \) children, then how many stickers will each child get?
(C) Given that \( 1 \) gallon is \( 8 \) pints, how many gallons of water are \( 48 \) pints of water?
(D) If your car used \( 12 \) gallons of gasoline to drive \( 360 \) miles, then how many miles per gallons did your car get?
(E) If you drove \( 177 \) miles at a constant speed and if it took you \( 3 \) hours, then how fast were you driving?
(F) Given that \( 1 \) foot is \( 12 \) inches, how many feet long is an 84-inch-long board?
A woman bought some large frames for \( \$ 14 \) each and some small frames for \( \$ 9 \) each at a closeout sale. If she bought \( 17 \) frames for \( \$ 178 \) , find how many of each type she bought.
A biologist is observing the growth pattern of a virus. She starts with \( 50 \) viruses that grow at a rate of \( 20 \% \) per hour. She will check on the viruses in \( 24 \) hours. How many viruses will she find? Round your answer to the nearest whole number.
Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her, first three events, and the corresponding number of photos sold and total revenue raised, appear in the table below.
Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos sold and what price per photo will maximize her revenue?
Forensic scientists use the following function to find the height of a woman if they are given the height of her femur bone, \(f , \) in centimeters. Find the height of a woman whose femur measures \( 43 \) centimeters.
\(H ( f ) = 2.59 f + 4724\)
The height of a woman whose femur measures \( 43 \) centimeters is \( \square \) centimeters.
A particular fruit's weights are normally distributed, with a mean of \( 541 \) grams and a standard deviation of \( 22 \) grams.
If you pick one fruit at random, what is the probability that it will weigh between \( 572 \) grams and \( 597 \) grams?
_______
A particular fruit's weights are normally distributed, with a mean of \( 338 \) grams and a standard deviation of \( 40 \) grams.
The heaviest \( 13 \% \) of fruits weigh more than how many grams?
Give your answer to the nearest gram.
____
Simplify:
\( ( x ^ { 2 } - 4 x - 10 ) + ( x ^ { 2 } - 9 x + 3 ) \)
\( ( 4 x ^ { 2 } - 12 x - 10 ) - ( 2 x ^ { 2 } + x - 3 ) \)
\(( 10 x - x ^ { 2 } + 8) + ( 5 x ^ { 2 } + 1 - 22 x ) \)
\(( 7 x ^ { 3 } - 9 x ^ { 2 } - 14 x ) - ( 4 x ^ { 3 } - 4 - x ) \)\(( 10 x - 12 - 3 x ^ { 2 } ) - ( 18 - 4 x ^ { 2 } + 9 x ) \)
Use a table to find the solution to the situation. Bridget needs an actor. Actor \( A \) is offering her services for an initial \( \$ 255 \) in addition to \( \$ 45 \) per day. Actor \( B \) is offering her services for an initial \( \$ 150 \) in addition to \( \$ 60 \) per day. When will the two actors charge the same amount of money?
The two actors will charge the same amount of money after \( \square \) days.
Use a table to find the solution to the situation. Sam needs a web designer. Designer \( A \) is offering her services for an initial \( \$ 470 \) in addition to \( \$ 100 \) per hour. Designer \( B \) is offering her services for an initial \( \$ 715 \) in addition to \( \$ 65 \) per hour. When will the two designers charge the same amount of money?
The two designers will charge the same amount of money after
Alicia notices what appears to be an interesting pattern atween powers of 11 and powers of \( x + 1 \) :
\( 11 ^ { 0 } = 1 ( x + 1 ) ^ { 0 } = 1 \)
\( 11 ^ { 1 } = 11 ( x + 1 ) ^ { 1 } = x + 1 \)
\( 11 ^ { 2 } = 121 ( x + 1 ) ^ { 2 } = x ^ { 2 } + 2 x + 1 \)
The digits of the number \( 11 ^ { n } \) are the same as the coefficients of the polynomial \( ( x + 1 ) ^ { n } \) . Is this alway
Use a table to find the solution to the situation. Lindsey needs a jeweler to repair her earrings. Jeweler \( A \) is offering her services for an initial \( \$ 100 \) in addition to \( \$ 13 \) per hour. Jeweler \( B \) is offering his services for an initial \( \$ 127 \) in addition to \( \$ 10 \) per hour. When will the two jewelers charge the same amount of money?
The two jewelers will charge the same amount of money after \( \square \) hours.
Use a table to find the solution to the situation. Lottie needs a driver. Driver A is offering his services for an initial \( \$ 180 \) in addition to \( \$ 65 \) per hour. Driver \( B \) is offering his services for an initial \( \$ 200 \) in addition to \( \$ 55 \) per hour. When will the two drivers charge the same amount of money?
The two drivers will charge the same amount of money after \( \square \) hours.
Use a table to find the solution to the situation.
Garrett needs a baseball coach. Coach \( A \) is offering her services for an initial \( \$ 5,825 \) in addition to \( \$ 550 \) per hour. Coach \( B \) is offering her services for an initial \( \$ 5,000 \) in addition to \( \$ 825 \) per hour. When will the two coaches charge the same amount of money?
The two coaches will charge the same amount of money after \( \square \) hours.
We are standing on the top of a 320 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after \( t \) seconds is \( h ( t ) = - 16 t ^ { 2 } + 128 t + 320 \) . What is the highest point that the object reaches?
__feet
What value of \( x \) makes this proportion true?
\( \frac { 25 } { 20 } = \frac { x } { 4 } \)
A. 6
B. 5
C. 20
D. 9
Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay \( \$ 111 \) . Two adults and three children must pay \( \$ 79 \) . Find the price of the adult's ticket and the price of a child's ticket .
The price of a child's ticket is \( \$ 15 \)
The price of an adult's ticket is \( \$ \square \) .
The Drama Club receives \( \$ 1856 \) by selling \( 473 \) tickets to the opening night of the musical. If the full price of a ticket is \( \$ 5.50 \) and discount tickets for students and seniors are \( \$ 2.00 \) each, how many full-price tickets were sold?
An investment firm invested \( \$ 1400 \) into two accounts. \( \$ 800 \) went to an \( 12 \% \) annual rate account. The rest went to a \( 15 \% \) annual rate account. The interest the first year amounted to:
Use a graphing calculator to find the solution to the situation. Emily needs to hire a pilot. Pilot A is offering his services for an initial \( \$ 46 \) in addition to \( \$ 24.22 \) per hour. Pilot B is offering her services for an initial \( \$ 61.75 \) in addition to \( \$ 19.86 \) per hour. When will the two pilots charge the same amount of money? If necessary, round your answer to the nearest tenth.
At approximately \( \square \) hours, both pilots will charge about the same amount.
Which two integers is \( \sqrt { 129 } \) between?
13 and 14
10and 11
11and 12
12and 13
If \( d = \) the number of dogs, which variable expression represents the phrase below?
the sum of the number of dogs and the 6 cats
George's page contains twice as many typed words as Bill's page and Bill's page contains \( 50 \) fewer words than Charlie's page. If each person can type \( 60 \) words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is \( 210 \) . How many words did Bill's page contain initially?
Complete the following statement. Use the integers that are closest to the number in the middle.
\(\square < - \sqrt { 90 } < \square \)
You decide to invest \( \$ 250 \) in an account that yields a return of approximately \( 4 \% \) each year. If you were to write an exponential equation representing the situation, what would the growth factor be? \(250 \)
\( 104 \)
\( 4 \)
\( 1.04\)
The ratio of monkeys to organ grinders was 17:23. If there were \( 840 \) monkeys and organ grinders altogether, how many monkeys were there?
Calculate the area of a rectangle with an alti- tude of \( 30 cm \) and a diagonal of \( 50 cm \) . Calculate the area of a rectangle with an alti- tude of \( 30 cm \) and a diagonal of \( 50 cm \) .
Bias binding is to be sewn around the edge of a rectangular tablecloth measuring \( 73 \) in. by \( 47 \) in. If the bias binding comes in packages containing \( 12 ft \) of binding, how many packages of bias binding are needed for the tablecloth? (Enter your answer as a whole number.)
\(\square \text { package( s) } \)
Rebecca picked \( \frac { 1 } { 6 } \) of a basket of apples yesterday. Today, she picked \( \frac { 7 } { 12 } \) of a basket of apples. What part of a basket of apples has Rebecca picked in all? Give your answer as a fraction, reduced to lowest terms.
There are ten pieces of pizza. Anthony ate \( \frac { 4 } { 9 } \) of the pizza for dinner. He ate \( \frac { 1 } { 6 } \) of the pizza for a snack. Howhuch of the pizza has he eaten in all? Give your answer as a fraction, reduced to lowest terms.
The speed of light is \( 3 \times 10 ^ { 8 } m / s \) .
If a star is \( 480,000,000,000,000 \) meters from Earth, how many seconds does it take light to travel from the Earth to the star? Enter your answer in scientific notation.
Use your knowledge of bearing, heading, and true course to sketch a diagram that will help you solve the problem.
A plane has an airspeed of 195 miles per hour and a heading of 30.0°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 40.0°. Find the speed and direction of the air currents, assuming they are constants. (Round your answers to one decimal place.)
__mi/hr at __° from due north
An orchard has \( 910 \) orange trees. The number of rows exceeds the number of trees per row by \( 9 \) . How many trees are there in each row?
A theater can seat \( 644 \) people. The number of rows is \( 5 \) less than the number of seats in each row. How many rows of seats are there?
Kari and her family are going on a road trip. The odometer read \( 65,125 \) miles. At a rest stop, \( 16.75 \) hours later, the odometer read \( 66,313 \) miles. What is the average speed the car traveled?
In a local town, 72,000 families have incomes less than $35,000 per year. This number of families is 80% of the families that had this income level 6 years ago. What was the number of families who had incomes less than $35,000 per year 6 years ago?
Sally writes an exponential function to model the spread of bacteria in a petri dish after \( t \) minutes:
\( B ( t ) = 3,000 ( 3 ) ^ { ( \frac { t } { 5 } ) } \)
What is the initial amount of bacteria in the dish after \( 0 \) minutes?
How long does it take for the bacteria to triple?
How many bacteria are there in the petri dish after \( 1 \) hour?
The estimated probability of a bowler getting a strike during a particular frame is \( 41 \% \) . If several simulations of the bowler bowling two frames were performed, in what percentage of the simulations would the bowler be most likely to get a strike in each of the two frames?
A. \(18 \% \) B. \( 81 \% \) C. \( 38 \% \) D. \( 61 \% \)
Nick loves to read and discuss books, so he joined a book club. The first book he read as a member of the club was a novel set in ancient Rome. There is a proportional relationship between the time Nick has spent reading the novel (in hours), \( x , \) and the number of pages he has read, \( y \) .
The equation that models this relationship is \( y = 48 x \) .
How long will it take Nick to read \( 216 \) pages of the novel? Write your answer as a whole number or decimal.
Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a chocolate center, and some do not. Suppose one of the lollipops is chosen randomly from all the lollipops in the bowl. According to the table below, if it is known to be a lemon, what is the probability that it does not have a chocolate center?
\(\begin{array} { | c| c| c| c| } \hline & \text { Lemon } & \text { Lime } & \text { Cherry } \\ \hline \text { Chocolate center } & 9 & 13 & 5 \\ \hline \text { No chocolate center } & 11 & 7 & 15 \\ \hline \end{array} \)
A. \( 35 \% \) B. \( 55 \% \) C. \( 25 \% \) D. \( 45 \% \)
Sal boxer decided to divide a gift of $9000 into two different accounts. He placed $1000 in an account that earns an annual simple interest rate of 7.5%. The remaining money was placed in an account that earns an annual simple interest rate of 7.75%. How much interest will sal earn from the two accounts after one year?
An 820 g salt and water solution contain 70 g of salt. This mixture is left in the open air, and 120 g of water evaporates from the solution. What is the percent concentration of salt in the remaining solution?
A pharmacist has 90 g of a topical cream that contains 85% glycerin. How many grams of the cream are not glycerin?
A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An independent testing service determined that the drug was effective for only 70% of the length of time claimed by the manufacturer. Find the length of the time the drug will be effective as determined by the testing service.
A formula for calculating the magnitude of an earthquake is \( M = \frac { 2 } { 3 } \log ( \frac { E } { E _ { 0 } } ) \) that uses the common (base 10) logarithm. This is called the Moment Magnitude Scale (MMS), an alternative to the more well known Richter Scale. One earthquake has magnitude \( 3.9 \) on the MMS. If a second earthquake has
\( 600 \) times as much energy as the first, find the magnitude of the second quake. Round to the nearest hundredth. The magnitude of the second earthquake was Number
Companies will likely have autonomous robots delivering packages in the next few years. It has been determined that robots can meet their quotas if they have \( 4 \) robots for every \( 30 \) square miles of area they cover. If they want to offer service to a city of \( 75 \) square miles, how many robots must they have?
\(9 \) robots
\( 10 \) robots
\( 15 \) robots
\( 12 \) robots
Three friends go to a restaurant. All \( 3 \) friends split the bill evenly. They want to ensure their total bill is not more than \( \$ 75 \) . If they intend to leave \( \$ 13 \) for a tip, what is the most that each friend can spend?
\( x \geq 20.67 \)
\( x \geq 21 \)
\( x \leq 21 \)
\( x \leq 20.66\)
In a recent year, a certain state produced 967,000,000 pounds of turkey. This was 11.3% of the US total in that year. Calculate the US total turkey production for that year. Round to the nearest billion.
In a relatively pointless survey, the following data was collected on cars in a Costco parking lot: there were \( 22 \) blue cars; \( 26 \) yellow cars; \( 90 \) white cars; \( 44 \) pink cars; \( 24 \) light blue cars; \( 19 \) cars of some other color.
If you were to construct a Pareto chart (ordering categories from highest frequency on the left to lowest on the right), how would the second bar in the graph be labeled?
Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among \( 146 \) subjects with positive test results, there are
\( 20 \) false positive results; among \( 153 \) negative results, there are \( 3 \) false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)
A gold ring with a regular price of $785 is on sale for 35% off the regular price. Find the sale price.
Quick service gas station has its regularly priced $120 tuneup on sale for 25% off the regular price. What is the sale price?
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of \( 9.9 \) mg and a standard deviation of \( 1.49 mg \) . The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of \( 39 \) cigarettes with a mean nicotine amount of \( 9.518 mg \) . Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting \( 39 \) cigarettes with a mean of \( 9.518 \) mg or less.
\( P ( M < 9.518 mg ) = \)
The table gives the temperature (in \( { } ^ { \circ } F \) ) in five cities at \( 6 \) a.m. on the same day. Use the table to answer the questions.
\(\begin{array} { | c| c| } \hline \text { City } & \begin{array} { c} \text { Temperature } \\ \text { ( } \mathrm { F} ) \end{array} \\ \hline \text { Dayton } & 32 \\ \hline \text { Boston } & - 4 \\ \hline \text { Atlanta } & 62 \\ \hline \text { Winnipeg } & - 15 \\ \hline \text { Juneau } & - 24 \\ \hline \end{array} \)
(a) How much higher was the \( 6 \) a.m. temperature in Dayton than in Boston?
(b) By noon, the temperature in Boston had risen by \( 11 ^ { \circ } F \) . What was the temperature there at noon?
A book sold \( 32,400 \) copies in its first month of release. Suppose this represents \( 8.8 \% \) of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Lee bought \( 5 \) packages of white envelopes and \( 3 \) packages of brown envelopes. There were \( 112 \) envelopes in each package. How many envelopes did she buy altogether?
There are \( 16 \) people who play frisbee golf in a league. In how many ways can the \( 16 \) people be divided into two teams of \( 8 \) people.
\( 40,320 \)
\( 25,740 \)
\( 12,870 \)
\( 38,610 \)
\( 6,435\)
Beth is interested in saving money for a new car. In the first month, she saved \( \$ 110 \) . She plans to save \( 3 \% \) more each month than the previous month. How much money will she have saved after a year and a half?
\( \$ 7,349.22 \)
\( \$ 2,575.59 \)
\( \$ 3,112.84 \)
\( \$ 5,013.94\)
In the sequence \( a _ { n } = \frac { 1 } { 2 } n - 6 , \) what is the domain value \( ( n ) \) if the range is \( 12 ? \)
\( n = 24 \)
\( n = 0 \)
\( n = 36 \)
\( n = 10\)
A town's population has been growing linearly. In \( 2003 \) the population was \( 63,000 \) . The population has been growing by \( 2200 \) people each year. Write an equation for the population, P, \( x \) years after \( 2003 . \)
Use the formula to find the population in \( 2009 : \)
If the ratio of the volumes of two similar geometrical solids is given by \( 1331 : 216 \) , what is the ratio of their surface areas?
\( 36 : 121 \)
\( 11 : 121 \)
\( 121 : 36 \)
\( 11 : 6\)
The dose of medicine prescribed for a child depends on the child's age \( A \) in years and the adult dose \( D \) for the medication. Y Young's Rule is a formula used by pediatricians that gives a child's dose C as \(C = \frac { D A } { A + 12 } \)
Suppose that a 4-year-old child needs medication, and the normal adult dose is \( 1500 mg \) . What size dose should the child receive?
Students at a major university are complaining of a serious housing crunch. They complain that many students have to commute too far to school because there is not enough housing near campus. University officials respond with the following information: the mean distance commuted to school by students is \( 17.0 \) miles, and the standard deviation of the distance commuted is \( 3.1 \) miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
(a) According to Chebyshev's theorem, at least \( \frac { 8 } { 9 } \) (about \( 89 \% \) ) of the commute distances lie between \( \square \) miles and \( \square \) miles. (Round your answer to \( 1 \) decimal place.)
(b) According to Chebyshev's theorem, at least (Choose one) \( 7 \) of the commute distances lie between \( 10.8 \) miles and \( 23.2 \) miles.
Jim and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Jim is using a 20-kilogram bar, increasing the amount of weight he lifts by \( 5 \) kilograms on each set. His partner, meanwhile, started out using a \( 30 \) -kilogram bar and is upping the weight by adding \( 4 \) kilograms on every set. Eventually, Jim and his workout partner will be lifting the same amount, and will take turns using the same barbell. How many sets will they have completed? Write a system of equations, graph them, and type the solution.