The local amusement park is a popular field trip destinations. this year the senior class at high school a and the senior class in high school b both planned trips there. the senior class at high school a rented and filled 16 vans and 8 buses with 752 students. high school b rented and filled 5 vans and 5 buses with 380 students. each van and each bus carried the same number of students. how many students can a van carry? how many students can a bus carry?

Van = 18

Bus = 58

Step-by-step explanation:

Let v be the number of students carried by each van.

Let b be the number of students carried by each bus.

We know the following:

Solve the second equation for b:

Replace b with (76 – v) in the first equation:

Therefore, each van can carry 18 students. Each bus, then, can carry 76 – v = 76 – 18 = 58.

To verify:

High School A had 16 vans and 8 buses equaling (16 × 18) + (8 × 58) = 288 + 464 = 752. That is correct.

High School B had 5 vans and 5 buses equaling (5 × 18) + (5 × 58) = 90 + 290 = 380. That is correct.

d. 9

step-by-step explanation:

54/12 = 4.5

sf = 4.5

so x = 2 · 4.5 = 9

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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