Answer:
$10
Step-by-step explanation:
x is her weekly allowance.
She spent half her allowance and has ½x remaining.
She earned $7, and now has $12.
12 = ½x+7
x = 10
The answer is m=4/5 so the slope of the line is 4/5
Yes, you made an algebraic error. By multiplying 18 x 4, you messed up on order of operations.
(x+9)(x+2)*4
becomes:
(x^2+11x+18)*4
= 4x^2 + 44x + 72
anyway, this is how I would do this problem:
(x+9)(x+2)(4) = 912
(x+9)(x+2) = 228
x^2 + 11x + 18 = 228
x^2 + 11x - 220 = 0
(x+21)(x-10) = 0
x = -21 or 10
The dimensions can't be negative, so we only use x = 10
The dimensions are then 10+9, 10+2, 4
or 19, 12, 4
Answer:
After 140 days
Step-by-step explanation:
The next time both plants will be watered together is simply the LCM of 10 and 14.
10 has multiples: 10, 20, 30, 40 , 50 ....
14 has multiples: 14, 28, 42, 56 ....
When will they next be equal?? That's the LCM.
We first do prime factorization of the numbers and then multiply each factor the greatest number of times it occurs in either number.
<u>Prime Factorization</u>
10 = 2 * 5
14 = 2 * 7
So,
LCM = 2^2 * 5 * 7 = 140
After 140 days