Volume of A = 1728
volume of B = 729
<span> (1728 / 729) = (a / b)^3 (a = width of A, b = width of B)
a / b = cube root (1728 / 729) = 4/3 </span><span> b = 10 (given)
a / 10 = 4/3 </span><span>
a = 40/3 = 13.33333</span>
so width of A is 13.33m
Answer:
x² + x - 30
Step-by-step explanation:
Given
(x - 5)(x + 6)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 6) - 5(x + 6) ← distribute both parenthesis
x² + 6x - 5x - 30 ← collect like terms
= x² + x - 30
Answer:
The infant mortality rate in Korea based on equality provided is:
Step-by-step explanation:
Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:
- 7 (m + 3) - 2 = 8m + 17.2
- 7m + 21 - 2 = 8m + 17.2
- 7m + 19 = 8m + 17.2
- 19 - 17.2 = 8m - 7m
- 1.8 = m
As you can see, once the equality of the expressions is solved, <u>a rate of 1.8</u> is obtained.
9514 1404 393
Answer:
(a) $1430
(b) $1340
(c) Debit card
Step-by-step explanation:
(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.
__
(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.
Limit - balance = $2350 -1010 = $1340
The most Jenny can spend using her credit card is $1340.
__
(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.