Answer: 22, 38
3, 7
8, 12
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 22 and 38
--> 22 < P < 38
Perimeter = 2w + 2L
It is given that L = w + 5
Substitute P with 2w + 2L and substitute L with w + 5
22 < 2w + 2(w + 5) < 38
22 < 2w + 2w + 10 < 38
12 < 4w < 28
--> 3 < w < 7
Since L = w + 5, then w = L - 5
Substitute P with 2w + 2L and substitute w with L - 5
22 < 2(L - 5) + 2L < 38
22 < 2L + 2L - 10 < 38
32 < 4L < 48
--> 8 < L < 12
Answer:
50
Step-by-step explanation:
Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15
