The answer is B. 320 inches cubed
Formula: V=L*W*H/3
10*8*12/3= 320
Answer:
10 litres of 1% solution and 8 litres of 10% solution
Step-by-step explanation:
Let vol of 1% solution = x
So vol of 10% solution = 18 - x
5% of 18 litres = 0.9
Equation formed is
<h3>x * (1/100) + (18 - x)*(10/100) = 0.9</h3>
x + (18 - x)10 = 0.9 * 100
x + 180 - 10x = 90
-9x = 90 - 180
-9x = -90
x = 10 litres
<h3>10 litres of 1% solution and 8 litres of 10%</h3>
Answer:
Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Step-by-step explanation:
With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:
x+y=7
Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:
0.45x+0.65y=3.65
You have the following equations:
x+y=7 (1)
0.45x+0.65y=3.65 (2)
Now, you have to solve for x in (1):
x=7-y (3)
Then, you have to replace (3) in (2):
0.45(7-y)+0.65y=3.65
3.15-0.45y+0.65y=3.65
0.20y=0.50
y=0.50/0.20
y=2.5
Finally, you can replace the value of y in (3) to find x:
x=7-y
x=7-2.5
x=4.5
According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
1. 64y^9
2.256u^12v^4
3.8a^3b^4 * b^4
4. vu^4 * 8vu^6
Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.
9 + 9 = 18
42 - 18 = 24
So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.
24 / 2 = 12
The length of Kate's jewelry box is 12 inches.
Hope that helped =)
