160 is 25% of 640
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To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is. This would be what you will multiply $125 by.
Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).
Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger. This means the price would be 4 times as much.
$125 x 4 = $500.
It will cost $500 to gold plate the similar jewelry box.
Answer:
B
Step-by-step explanation:
Let's create an equation in point-slope form, which is:
, where
is the point and m is the slope.
Here, our point is (-2, 7) and our slope is m = -5 so plug these in:


Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:
2 - 7 = -5(a + 2)
-5 = -5(a + 2)
Divide by -5:
1 = a + 2
Subtract 2 from both sides:
a = -1
Thus, the answer is B.
Hope this helps!
Volume formula of a sphere:


r³
given:
r = 3
V =


(3)³
V =

× 27

V = 36

units³ (in terms of

)
V = 113.097 units³ ≈ 113.1 units³