We can express Benjamin's age with x, we can express Luca's age as y.
x-6=2y
So, if x=12
2y=6
y=3
Therfore, Lucas is 3 years old
Answer:
![\frac{3}{3} * \frac{2}{3} *\frac{3}{3} =\frac{2}{3} \ in^3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B3%7D%20%2A%20%5Cfrac%7B2%7D%7B3%7D%20%2A%5Cfrac%7B3%7D%7B3%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20%5C%20in%5E3)
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Step-by-step explanation:
The question is missing the attached figure.
The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.
the volume of the prism = length × height × width
length = ![3 * \frac{1}{3} = \frac{3}{3}](https://tex.z-dn.net/?f=3%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B3%7D%7B3%7D)
height = ![3 * \frac{1}{3} = \frac{3}{3}](https://tex.z-dn.net/?f=3%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B3%7D%7B3%7D)
width = ![2 * \frac{1}{3}= \frac{2}{3}](https://tex.z-dn.net/?f=2%20%2A%20%5Cfrac%7B1%7D%7B3%7D%3D%20%5Cfrac%7B2%7D%7B3%7D%20)
So the volume of the prism = ![\frac{3}{3} *\frac{3}{3} *\frac{2}{3} =\frac{2}{3} \ in^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B3%7D%20%2A%5Cfrac%7B3%7D%7B3%7D%20%2A%5Cfrac%7B2%7D%7B3%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20%5C%20%20in%5E%7B3%7D)
∴ The equation that shows the volume of the prism, in cubic inches
= ![\frac{3}{3} * \frac{2}{3} *\frac{3}{3} =\frac{2}{3} \ in^3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B3%7D%20%2A%20%5Cfrac%7B2%7D%7B3%7D%20%2A%5Cfrac%7B3%7D%7B3%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20%5C%20in%5E3)
Answer:
The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.
Angle e = x angle d = 5x supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150