MATH CHALLENGE A. Solve the following problems. 1. Aicel, Bessy, and Cynthia went to the farm to pick guavas. They picked 120 guavas in all. Aicel picked twice as many as Bessy did, and Bessy picked 3 times as many as Cynthia did. How many guavas did each of them pick? 2. Alex's bike ride to work usually takes 22 minutes at 9 kph. One morning he found a new bike route that was 5 minutes faster. If he decides to use this new route again and wants to reach home by an additional 2 minutes earlier, how fast should he cycle? 3. Five trucks can transfer 150 tons of fruit a day. How many days does it take for 7 trucks to transfer 630 tons of fruits? 4. There are 80 animals in Mang Pablo's farm. The ratio of cows to carabaos to goats to horses is \( 4: 2: 3: 1 \). How many animals of each kind are there in Mang Pablo's farm? 5. The ratio of boys to girls in a Junior-Senior Promenade is \( 4: 3 \). Jane counted that there are 12 more boys than girls. How many boys and girls are there in the prom? Create vour own problem usinn the followinn information.

The part of the left temporal lobe involved in understanding language is known as: Broca's area. Wernicke's area. the motor cortex. the left frontal lobe.

\( ( x + 4 ) ( x + 3 ) = x ^ { 2 } + \square x + 12 \)

Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to \( t \). \( x^{\prime}=x-y \) \( y^{\prime}=y-9 x \) Eliminate \( x \) and solve the remaining differential equation for \( y \). Choose the correct answer below. A. \( y(t)=C_{1} e^{-2 t}+C_{2} e^{-4 t} \) B. \( y(t)=C_{1} e^{4 t}+C_{2} t e^{4 t} \) D. \( y(t)=C_{1} e^{-2 t}+C_{2} t e^{-2 t} \) E. The system is degenerate. Now find \( x(t) \) so that \( x(t) \) and the solution for \( y(t) \) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( x(t)=\square \) B. The system is degenerate.

If \( A=3, B=-4, C=2 \) then find the numerical value of each of the following: a) \( (A \times B) \div C \)

Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. \[ \mu=44 \text { and } \sigma=8: n=49 \]