Answer:
x = 1
Step-by-step explanation:
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
2x+12-8x = (6x+6)/6 +4
-6x + 12 = x+1+4
12-5 = 7x
7x = 7
x=1
Hope this helps!
Answer: The perimeter is 20 cm
Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.
PERIMITER = ADDING ALL SIDES
AREA = MULTIPLYING
7v-v=12 subtract v from 7v to get 6v
6v=12 divide 12 by 6 to find variable
v=2
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
2 (b+4)
2 being the factored coefficient
