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alex41 [277]
3 years ago
11

If anyone can help me I will really appreciate!!

Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer:

The decimal form of the equation is y = 2.5x + 10

The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5

===========================================================

Explanation:

We can pick any two columns from the table to form the two points needed.

I'll pick the first two columns

(1, 12.5)

(2, 15)

Then apply the slope formula to those points

m = (y2-y1)/(x2-x1)

m = (15-12.5)/(2-1)

m = (2.5)/(1)

m = 2.5

Now use that slope with either point mentioned to find the y intercept b.

y = mx+b

12.5 = 2.5*1 + b

12.5 = 2.5 + b

12.5 - 2.5 = b

10 = b

b = 10

Or

y = mx+b

15 = 2.5*2+b

15 = 5+b

15-5 = b

10 = b

b = 10

We end up with the same b value.

We found that m = 2.5 is the slope and b = 10 is the y intercept

Therefore we go from y = mx+b to y = 2.5x + 10

This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2

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Answer:

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Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

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x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

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x% = 0.1

Converting to percentage

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4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

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3 years ago
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