A sewing club made costumes for Halloween. They used 40 feet of fabric to make 8 costumes. At this rate, how many costumes can b
e made from 15 feet of fabric?
1 answer:
3 costumes can be made from 15 feet of fabric
Step-by-step explanation:
The proportion can be sued to solve the following problem
Given
Total fabric = 40 feet
Costumes = 8
Fabric = 15 feet
Costumes = ?
Let x be the number of costumes that can be made with 15 feet of fabric
![Fabric:Costumes::Fabric:costumes\\40:8::15:x\\\frac{40}{8} = \frac{15}{x}\\40x = 15*8\\40x = 120](https://tex.z-dn.net/?f=Fabric%3ACostumes%3A%3AFabric%3Acostumes%5C%5C40%3A8%3A%3A15%3Ax%5C%5C%5Cfrac%7B40%7D%7B8%7D%20%3D%20%5Cfrac%7B15%7D%7Bx%7D%5C%5C40x%20%3D%2015%2A8%5C%5C40x%20%3D%20120)
Dividing both sides by 40
![\frac{40x}{40} = \frac{120}{40}\\x = 3](https://tex.z-dn.net/?f=%5Cfrac%7B40x%7D%7B40%7D%20%3D%20%5Cfrac%7B120%7D%7B40%7D%5C%5Cx%20%3D%203)
Hence,
3 costumes can be made from 15 feet of fabric
Keywords: Proportion, fractions
Learn more about proportion at:
#LearnwithBrainly
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Answer:
yes these functions are inverse
Step-by-step explanation:
so heisjsksbKjsbkaosbdjskms
Write 8 and 512 as powers of 2:
![8=2^3](https://tex.z-dn.net/?f=8%3D2%5E3)
![512=2^9=(2^3)^3](https://tex.z-dn.net/?f=512%3D2%5E9%3D%282%5E3%29%5E3)
So we have
![\log_8512=\log_{2^3}(2^3)^3=3\log_{2^3}2^3=3](https://tex.z-dn.net/?f=%5Clog_8512%3D%5Clog_%7B2%5E3%7D%282%5E3%29%5E3%3D3%5Clog_%7B2%5E3%7D2%5E3%3D3)
ANSWER
![P(not \: B) = \frac{1}{4}](https://tex.z-dn.net/?f=P%28not%20%5C%3A%20B%29%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
EXPLANATION
If A and B are independent events, then
P(A and B)=P(A)×P(B)
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Multiply both sides by;
![\frac{5}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20)
![\frac{5}{2} \times \frac{3}{10} = \frac{5}{2} \times \frac{2}{5} \times \: P(B)](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B10%7D%20%20%3D%20%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Ctimes%20%5Cfrac%7B2%7D%7B5%7D%20%20%5Ctimes%20%20%5C%3A%20P%28B%29)
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(8x + 7) - (2x - 3)
(8x + 7) + (-2x + 3)
combine like terms
8x - 2x and 7 + 3
6x + 10
The slope is the change in Y over the change in X.
Slope = (7-4) / (5-3)
Slope = 3/2