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Q:

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.

 

Q:

Event A and B are independent. Find the indicated Probability.

\(P(A)=0.44\)

\(P(B)=?\) (round answer to three decimal places)

\(P(A\text{ and }B)=0.16\)

Q:

When Sally went bowling, her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an average of 91?

Q:

Given \(m\parallel n\), find the value of x.

 

Q:

 

In the figure \(\overrightarrow{BA}\) and \(\overrightarrow{BC}\) are opposite rays. \(\overrightarrow{BF}\) bisects \(\angle\text{CBE}\).

If \(m\angle\text{EBF}=6x+4\) and \(m\angle\text{CBF}=7x-2\), find \(m\angle\text{EBF}\).

Q:

Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase for the price of the car?

 

 

Q:

Billy's car gets 25 miles per gallon of gas. If Wilmington, DE is 150 miles away, how many gallons of gas is he going to need to get to Wilmington and come back home?

Q:

Suppose we want to choose 6 objects, without replacement, from 15 distinct objects. 

 

(a) How many ways can this be done, if the order of the choices does not matter?

(b) How many ways can this be done, if the order of the choices matters?

Q:

A rectangular athletic field is 100 yards wide and 500 yards long. How many square yards are there in the field?

Q:

Are the sets equal?

 

\(A=\{15,16,16,17,17,17,18,18,18,18\}\)

\(B=\{18,17,17,15\}\)

Q:

The maximum slope of a wheelchair ramp is 1:12. For a wheelchair ramp made with these specifications, what angles does the ramp make with the ground? Round your answer to the nearest hundredth.

Q:

Which list of numbers is ordered from least to greatest value?

 

\(A.\frac{1}{20},4.1\times10^{-1},4.8\%,\sqrt{4}\)

\(B.4.8\%,\frac{1}{20},4.1\times10^{-1},\sqrt{4}\)

\(C.\frac{1}{20},\sqrt{4},4.1\times10^{-1},4.8\%\)

\(D.4.1\times10^{-1},\frac{1}{20},\sqrt{4},4.8\%\)

 

Q:

Suppose Salma places $9500 in an account that pays 16% interest compounded each year.

Assume that no withdrawals are made from the account.

 

Follow the instructions below. Do not do any rounding.

 

(a) Find the amount in the account at the end of 1 year.

(b) Find the amount in the account at the end of 2 years.

Q:

Given the points C(-1, -3) and D(5, 6), find the coordinates of the point E on directed line segment CD that partitions CD into the ratio 2 to 1.

Q:

A translation maps the point E(-3, 10) to the point E'(2,1). If the same translation maps point F to the image point F'(7, -4) then which of the following are the coordinates of F?

 

(1) F(-6, 12)

(2) F(7, 4)

(3) F(12, -13)

(4) F(2, 5)

Q:

The vertices of \(\triangle\)WED are W(5, -2), E(-3, -4), and D(1, 6).

 

True or false. After dilation with center D and scale factor of 3, the coordinates of the images are W'(15, -6), E'(-9, -12), and D'(3, 18).

Q:

Find the volume of a pyramid with a square base, where the side length is the base is 7.5 cm and the height of the pyramid is 10.2 cm. Round your answer to the nearest tenth of a cubic centimeter.

 

Q:

Determine the intervals on which  f is concave up and concave down:

\(f(x)=x^3+4.5x^2-12x-1\)

Q:

Find the perimeter of the composite geometric figure, which consists of three semicircles and a square. Use \(\pi\approx3.14\).(Round to the nearest hundredth.)

 

Q:

In the auditorium there are second third ,fourth and fifth graders. One sixth of the students are fifth graders, one third are fourth graders and one fourth of the remaining students are second graders. If there are 96 students in the auditorium, how many are second graders? what fraction of the students are second graders

Q:

Find the height, x, of the triangle.

 

 

A 30

B 40

C 50

D 60

Q:

\(\triangle\text{ABC}\) and \(\triangle\text{DEF}\) are congruent. If \(\text{AB}=\text{DE}\)\(\text{BC}=\text{EF}\)\(\text{m}\angle\text{ABC}=37^{\circ}\), and \(\text{m}\angle\text{EDF}=39^{\circ}\), what is the measure (in degrees) of \(\angle\text{EFD}\)?

 

Q:

Hayden says that \(\frac{3}{2}\) is a whole number because it does not repeat as a decimal. Is he correct? Why or why not?

Q:

Find the length of the hypotenuse in the following right triangle.

 

Q:

\(\overleftrightarrow{AD}\) is the perpendicular bisector of \(\overleftrightarrow{BC}\)\(BD=5x-10\) and \(DC=3x+10\). Determine the value of x.

Q:

In 2015, the number of graduating seniors taking the ACT exam was 1,924,887. In 2011, a total of 1,612,665 graduating seniors took the exam. By what percent did the number increase over this period of time?

Q:

Find the mean, median, and mode of the following set of data:

 

43, 46, 47, 51, 54, 59, 60

Q:

In the figure below, if \(m\angle\text{AXC}=10x\), then \(m\angle\text{BXD}=?\).

 



\(10x\)

\(360-10x\)

\(90-10x\)

\(180-10x\)

Q:

Convert \(132\text{ cm}^2\) into square inches. When appropriate, round your answer off to the nearest thousandth.

 

Q:

The price of a technology stock has risen to $9.85 today. Yesterday's price was $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent.

 

Q:

If \(f(x)=x^2-6x+2\) and \(g(x)=-2x\), find the following composition.

 

\((g\circ f)(-5)=?\)

Q:

Triangle LMN is translated to L'M'N'. L was located at -1,3 and L' was found at -8,1. If M is at 1,3 what would be the coordinates of M' be?

Q:

Find an equation of the circle that has center (-6,4) and passes through (-1, -2).

Q:

Find the length of the missing to the nearest tenth(do not forget your units).

 

Q:

Solve for \(\text{m}\angle\text{PRS}\)

 

 

\(\angle\text{PRS}=(9x+2)^{\circ}\)

\(\angle\text{PQR}=(5x-1)^{\circ}\)

\(\angle\text{RPQ}=23^{\circ}\)

Q:

Mr. Kendrick had a $100 bill to buy meat for a family gathering. He bought two briskets for $13.50 each, eight pounds of sausage of $31.94, and six chickens for $20.16.

 

How much change should Mr. kendrick receive from his $100 bill?

Q:

Examine the following equation and determine the y-intercept and slope: y=-x

 

a. Slope is -x and intercept is 0

b. Slope is -x and y intercept is -1

c. Slope is -1 and y intercept is 0

d. Slope is -1 and y intercept is -1

Q:

Simplify: \(8(-9-5x)+4b\) use \(x=9\) and \(b=-9\)

 

a. None of these answers are correct.

b. -1044

c. -468

d. -396

e. 252

Q:

What is the GCF of two numbers or expressions that have no prime factors in common. Explain.

Q:

In \(\triangle\text{NOP}\), the measure of \(\angle\text{P}=90^{\circ}\)\(\text{PN}=1.1\), and \(\text{NO}=3.3\) feet. Find the measure of \(\angle\text{N}\) to the nearest degree.

 

Q:

How many meters are there in \(50\frac{1}{4}\) kilometers?

 

a. 5025 m

b. 5250 m

c. 50025 m

d. 50250 m

Q:

This is an observation tower out in Blowing Rock, NC that is 40 feet tall. If you climb to the top and view someone's campfire at an angle of depression of 3 degrees, how far from the base of the tower is the campfire? Round your answer to the nearest foot.

Q:

At a shelter, 15% of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies?

Q:

The circumference of a circle is 16\(\pi \) cm. What is the area, in square centimeters? Express your answer in terms of \(\pi \).

Q:

Marlena has a bag of coins. The bag contains 8 quarters, 10 dimes, 4 nickels, and 2 pennies. She will randomly select a coin from the bag. What is the probability that Marlena will select a nickel?

 

\(\frac{1}{12}\)

\(\frac{1}{3}\)

\(\frac{1}{6}\)

\(\frac{1}{5}\)

Q:

The manufacturing cost of an air-conditioning unit $544, and the full-replacement extended warranty costs $113. If the manufacturer sells 506,970 units with extended warranties and must replace 20% of them as a result, how much will the replacement costs be? (Note: Assume manufacturing costs and replacement costs are the same.)

 

a. $55,158,336

b. $11,457,522

c. $2,129,274

d. $66,717,252

Q:

Calculate the area of a circle with a diameter of 10.8 centimeters.

Q:

Which of the following sets of lengths can represent the measures of the sides of a right triangle?

 

A. 4, 5,6 

B. 5, 12, 15

C. 8, 10, 17

D. 20, 21, 29

Q:

If \(f(x)=3x^2+1\) and \(g(x)=1-x\), what is the value of \((f-g)(2)\)

 

a. 12

b. 14

c. 36

d. 38

Q:

Ryan has 10 quarters. Kelly has exactly seven times as much money as Ryan. They will combine their money to buy a game. The game costs $27. How much more money do they need to save?

Q:

A sun casts a shadow of a 50-foot building. If the angle of elevation to the sun is \(64^{\circ}\), how long is the shadow? Round to the nearest tenth.

 

a. 24.4 feet

b. 114.0 feet

c. 102.5 feet

d. 55.6 feet

Q:

In the rectangle, if \(SQ=11x-26\) and \(PR=5x+28\), find \(PR\).

 

Q:

From the top of a building 21 m tall, the angle of depression to a car on the road below is 70 degrees. How far is the car from the base of the building? Sketch a diagram to help you...

 

a. 61 m 

b. 57.7 m

c. 7.6 m

d. 19.7 m

Q:

What is the measure of each angle of a regular 18-gon? If necessary, round to the nearest tenth.

Q:

Sam wants to buy a remote control dune buggy that is 30% off. The original price is $200.11. What is amount of discount(nearest penny)?

 

 

Q:

When a coordinate grid is superimposed on a map of Lanesville, the middle school is located at (15, 23) and the library is located at (27,9). If each unit represents 1 mile,, how many miles apart are the middle school and the library? Round your answer to the nearest tenth.

Q:

The men's 110-meter hurdles is an event in the Olympic games. The distance from the starting line to the first hurdle is 13.72 meters. The distance from the first hurdle to the second hurdle is 9.14 meters. What is the total distance from the starting line to the second hurdle?

Q:

In a city, the record monthly high temperature for March is \(56^{\circ}\text{F} \). The record monthly low temperature for March is \(-4^{\circ}\text{F}\). What is the range of temperatures for the month of march?

Q:

In a survey of a group of people, it was found that 60% of the people liked apple, 70% liked orange and 400 people liked both of them. If 10% people liked non of them, then

 

(i) Represent the above information in a Venn-diagram

(ii) Find the total number of people in the survey

(iii) Find the number of people who like apple only. 

Q:

In \(\triangle\text{MNO}\), the measure of \(\angle\text{O}=90^{\circ}\)\(\text{ON}=35\)\(\text{NM}=37\), and \(\text{MO}=12\). What is the value of the tangent of \(\angle\text{M}\) to the nearest hundredth?

Q:

In the figure, the radius of circle A is twice the radius of circle B and four times the radius of circle C. If the sum of the circumferences of the three circles is 42π, find the measure of AC.

Q:

In the triangle ABC, C=90, AC=3.2m and BC=4.8m. Find B.

Q:

Makayla has $740 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $465.34. She buys 4 bicycle reflectors for $13.25 each and a pair of bike gloves for $18.12. She plans to spend some or all of the money she has left to buy new biking outfits for $25.69 each. What is the greatest number of outfits Makayla can buy with the money that's left over?

Q:

\(\sum _ { n = 1 } ^ { 4 } 4 ^ { n } =\)