Answer:
Number of students in vans =15 and bus =46
Step-by-step explanation:
use variables for the vans and buses
let x= vans and y=buses
Now solve the 2 equations simultaneously
<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>
6x+7y=412..........1
6x+9y=504.........2
make x the subject of one equation
and label it equation 3
6x=412—7y
subs 3 into 2
subs 4 into 1
Therefore there are 15 students in each van and 46 students in each bus.
False -11 is furter on the number line then -1
Answer: 2/15
Explanation: 2/9 x 3/5 then simplify it
jeez that looks really hard
Step-by-step explanation:
There are 3 right triangles.
Long leg short leg hypotenuse
Large ? ? 32+18 = 50 m
Medium 32 m x ?
Small x 18 m ?
Similar triangles: small & medium
short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24
Long leg short leg hypotenuse
Large ? → 40 m ? 32+18 = 50 m
Medium 32 m 24 m ? → 40 m
Small 24 m 18 m ? → 30 m
solve hypotenuse of medium and small using Pythagorean theorem.
32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c
24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c
Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse
32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters
B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
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