Answer:
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Step-by-step explanation:
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The total number of cars both the student and the teacher made is 49
let
total cars = x
cars made by student = s
cars made by teacher = t
Total = student + teacher
x = s + t
s = 2/7x
So,
x = 2/7x + t
x - 2/7x = t
t = (7x - 2x) / 7
t = 5/7x
Similarly,
s = t - 21
s = 5/7x - 21
equate both s equation
2/7x = 5/7x - 21
2/7x - 5/7x = -21
(2x - 5x) / 7 = -21
- 3/7x = -21
x = -21 ÷ -3/7
= -21 × - 7/3
= (-21 × -7) / 3
= 147/3
x = 49
Therefore, the total number of cars both the student and the teacher made is 49
Learn more about fractions:
brainly.com/question/11562149
Answer:
b = 12
Step-by-step explanation:
7b = 84
We can break down 7b as 7 x b
7 x b = 84
We divide both sides by 7:
7 x b ÷ 7 = 84 ÷ 7
b = 12
-Chetan K
Answer:2, 1, (in place of x) and y2
Step-by-step explanation: Divide your base numbers, which are 18 and 9, so you get 2. Then because you're dividing with exponents you are just subtracting them. So x 2-2 (Imagine these as exponents) so you'd get x0. Next you'd do the same with y so you'd end up with y2. Because your exponent is 0 on x it equals one.
153.94 ft — you use pi•r^2 and the radius is half the diameter so its 7