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Strike441 [17]
3 years ago
6

Suppose y varies directly with x. if y=7 when x=2, find y when x=3

Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
7/2=y/3

21=2y

Y=21/2

Hope this helps!
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A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has
Aleks [24]

The Solution to the problem of the rectangle is given below

For Part A:

  • equation model: (14 + w) * (w +8) = 132
  • Length = 15

For Part B

  • Perimeter = 46

Meaning of Perimeter

The perimeter of any shape can be defined as the total sum of the sides of the shape.

<h3>Analysis</h3>

For Part A

equation model= (14 + w) * (w +8) = 135

14w + 112 + 8w + w^{2} = 135

w^{2} + 22w - 23 = 0

solving the quadratic equation

w = -23 or 1

Because we are dealing with a physical quantity we will make use of the value 1

lenght of original rectangle = 10 + 1 = 11

Part B

Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)

Perimeter = 48

In conclusion, The Solution to the problem of the rectangle is given above.

Learn more about Perimeter: brainly.com/question/19819849

#SPJ1

4 0
2 years ago
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Some ant species can carry 50 times their body weight. It takes 32 ants to carry the cherry. About how much milligrams does each
boyakko [2]

Answer:

4800 / 32=150 milligrams per ant. Since each ant can carry 50x its bod weight, then 150/50=3 milligrams, which about the weight of each ant

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Each music class sings 8 songs a week.How many does each class sing in 5 weeks? 6 weeks? 7 weeks?
Scilla [17]

In 5 weeks they sing 280, in 7 weeks they sing 392, and in 6 weeks they sing 336. For this problem you have to figure out how days are in a week n multiply that by the number of songs they give you n then you have to multiply that by how many weeks they give you n then u keep repeating these steps until you ate done with all of your problems n you get your answer

7 0
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The volume of a prism changes from 20 to 540 after a dilation. what was the scale factor of the dilation?
lyudmila [28]
Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.

Scale factor = 540/20
Scale factor = 27
7 0
3 years ago
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If Mary pay $3695.20for principal and interest every month for 30 years on her $110,000 loan, how much interest will she pay ove
PilotLPTM [1.2K]

Answer:

  $1,220,200

Step-by-step explanation:

The total of Mary's payments is ...

  $3695.20/mo × 30 yr × 12 mo/yr = $1,330,200

The difference between this repayment amount and the value of her loan is the interest she pays:

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_____

Mary's effective interest rate is about 40.31% per year--exorbitant by any standard.

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