1. To solve this exercise you must apply the formula for calculate the volume of a rectangular prism and the formula for calculate the volume of a rectangular pyramid:
2. Volume the rectangular prism:
V1=LxWxH
V1=(7 in)(3 in)(4 in)
V1=84 in³
3. Volume of the rectangular pyramid:
V2=BxH/3
B=(7 in)(3 in)=21 in
H=12 in-4 in=8 in
V2=(21 in)(8 in)/3
V2=56 in³
4. The volume of the composite figure is
V=V1+V2
V=140 in³
6 is the greatest common factor of 30 and 66, because 6(5+11)
Answer: the number = 6
Step-by-step explanation:
<u>Let x be the number.</u>
<u>Set equation according to the information given</u>
2 + 8x = 2 × 25
<u>Simplify by multiplication</u>
2 + 8x = 50
<u>Subtract 2 on both sides</u>
2 + 8x - 2 = 50 - 2
8x = 48
<u>Divide 8 on both sides</u>
8x / 8 = 48 / 8

Hope this helps!! :)
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Answer:
8.5
Step-by-step explanation:
120 * 0.4 = 48 + 20 = 68
120 * 0.45 = 54 + 22.25 = 76.5
76.5 - 68 = 8.5