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Tasya [4]
2 years ago
9

What are the ratios and is this table proportional

Mathematics
1 answer:
Natali5045456 [20]2 years ago
7 0

Answer:

45/1=45

90/2=45

135/3=45

180/4=45

225/5=45

Step-by-step explanation:

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For this case, the first thing you should do is know that dilation is a transformation that is used<em> to lengthen or shorten a geometric figure. </em>

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This point on the plane is what we know as the center of dilation .

Answer:

B. the center of dilation

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Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’
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Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

x-0.1x+2.70=56.70

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the <em>original price of the jeans</em>.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans <em>after</em> the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is <em>not</em> a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

(70)-0.1(70)+2.7\stackrel{?}{=}56.70

Multiply:

70-7+2.7\stackrel{?}{=}56.7

Subtract:

63+2.7\stackrel{?}{=}56.7

Add:

65.7\neq56.7

However, we <em>can</em> verify that 60 <em>is</em> the solution by substituting. So, substitute 60 for every x:

(60)-0.1(60)+2.7\stackrel{?}{=}5.7

Multiply:

60-6+2.7\stackrel{?}{=}56.7

Subtract:

54+2.7\stackrel{?}{=}56.7

Add:

56.7\stackrel{\checkmark}{=}56.7

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

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