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goblinko [34]
3 years ago
7

8(5x–3)–11(3x+7)=102

Mathematics
2 answers:
enyata [817]3 years ago
7 0
40x - 24 - 33x - 77 = 102
40x - 33x = 102 + 24 + 77
7x = 203
x = 29
jekas [21]3 years ago
7 0
40x-24-33x-77=102
7x-101=102
7x=203
X=29
Answer x=29
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16 factory workers made 40 pieces in a certain amount of time.
qwelly [4]

a) The quantities vary directly

b) The constant of variation is 2.5

Step-by-step explanation:

Lets us revise the direct and inverse variation

  • If y varies x directly, then y = kx, that means the ratio between them is constant ( \frac{y}{x}=k ) , they increased together and decreased together, k is the constant of variation
  • If y varies x inversely, then yx = k, that means when x increased y must be decrease ( y=\frac{k}{x} ) k is the constant of variation

∵ 16 factory workers made 40 pieces in a certain amount of time

- If the number of worker increased, then the number of pieces

   increased in the same certain time, if the number of worker

   decreased, then the number of pieces also decrease in the

   same certain time

∴ The the number of workers and the number of pieces produce

   vary directly

∴ Number of pieces produced = k × number of worker

a) The quantities vary directly

∵ The number of worker = 16

∵ The number of pieces produced = 40

- Substitute these values in the equation of variation above

∴ 40 = k × 16

- Divide both sides by 16

∴ k = 2.5

b) The constant of variation is 2.5

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

3 0
3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Rewrite the fraction 5 over 4 as an equivalent fraction with a denominator equal to 16
irakobra [83]
5/4=
20/16
Answer: 20/16
4 0
3 years ago
Read 2 more answers
Express the rate 50 yards per minute in feet per second. Please answer with supporting work.
DiKsa [7]
First, multiply 50*3 to get the answer in feet which is 150 ft.

Then, divide 150 ft by 60 which would be 2.5 ft per second.
3 0
3 years ago
Dentify the type of variation given and the constant of variation (k)
velikii [3]
The constant variation k is 12
3 0
3 years ago
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