Ashley’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?

19 cars

13 buses

Step-by-step explanation:

We have a system of equations as follows

X + y = 32 1

3x + 27y = 408 2

x = car

y = bus

From equation 1

x + y = 32

x = 32 - y 3

We put equation 3 into equation 2

3(32-y) + 27y = 408

96y -3y + 27y = 408

96 + 24y = 408

24y = 408 - 96

24y = 312

Divide through by 24 to get the value of y

Y = 312/24

Y = 13

We put the value of y in equation 3

x = 32 - 13

x = 19

So 19 cars would be needed for the trip and also 13 buses would also be needed

i dont know

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.