A carpenter wants you to find the surface area of a shelf top. The length of the shelf is 3/4 m and the depth is 1/8 m.
Answer:
4. 11/6, 121/36
5. 5/8, 25/64
6. 4/7, 16/49
7. 14/9, 196/81
Step-by-step explanation:
The ratio of perimeters is the same as the ratio of corresponding legs:
perimeter ratio = red leg/blue leg
The area ratio is the square of that:
area ratio = (perimeter ratio)²
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<h3>4.</h3>
perimeter ratio = 11/6
area ratio = (11/6)² = 121/36
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<h3>5.</h3>
perimeter ratio = 5/8
area ratio = (5/8)² = 25/64
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<h3>6.</h3>
perimeter ratio = 4/7
area ratio = (4/7)² = 16/49
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<h3>7.</h3>
perimeter ratio = 14/9
area ratio = (14/9)² = 196/81
Answer:
1/7
Step-by-step explanation:
- I can't really tell what the fraction you have is, I am assuming it is 2/14. If that is correct, simplify by finding a common number.
- Ask yourself, what can both be divided by? (Answer is 2)
- Knowing both simplify by 2, divide the numerator (top) and denominator (bottom) by 2.
- You should get 1/7 (2/2 = 1 and 14/2 = 7)
- If you have any further questions on this topic please let me know. I would be glad to help anytime!
2(6y - 5) - 3y = 2
12y - 10 - 3y = 2
9y - 10 = 2
9y = 12
y = 4/3, or 1 1/3
2x - 3(4/3) = 2
2x - 12/3 = 2
2x - 4 = 2
2x = 6
x = 3