Answer:
8 nickels and 9 dimes
Step-by-step explanation:
If all were dimes, the value would be $1.70. It is $0.40 less than that. Changing a dime for a nickel reduces the value by $0.05, so there must have been $0.40/$0.05 = 8 such changes.
There are 8 nickels and 9 dimes.
_____
<em>Check</em>
8 · 0.05 + 9 · 0.10 = 0.40 + 0.90 = 1.30 . . . the answer checks OK
Answer:
B
Step-by-step explanation:
If you simplify all the fractions in the second chart, they result is always 1/3, so they are proportional.
The rule for expressing a radical as a rational exponent is as follows:
![\sqrt[n]{x^y} = x^ \frac{y}{n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5Ey%7D%20%3D%20x%5E%20%5Cfrac%7By%7D%7Bn%7D%20)
So, to find
![\sqrt[3]{27x^2y^3z^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27x%5E2y%5E3z%5E4%7D%20%20)
use that rule.
The cube root of 27 is 3, so the equation will start with 3.

Hope that helps!
Answer:
Surface area = 92 ft²
Step-by-step explanation:
Formula to find the surface area of a rectangular prism is,
Surface area = 2(lb + bh + hl)
Here, l = length of the prism
b = width of the prism
h = height of the prism
By substituting the measures of the sides given in the picture,
Surface area = 2(2×3 + 3×8 + 8×2)
= 2(6 + 24 + 16)
= 2(46)
= 92 square feet
Therefore, surface area of the given rectangular prism is 92 ft².
Step-by-step explanation:
7/10 - 1/2 = 7/10 - 5/10 = 2/10