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3 years ago

The town of Passaic had 58,753 people in 1990 and 71,509 people in 2014.

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

Answer:

21.71% increase

Step-by-step explanation:

increase = Increase ÷ Original Number × 100

12756/58753*100

0.217112318*100

21.71% increase.

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A given line has the equation 10x + 2y = −2.

sergij07 [2.7K]

Firstly, let's convert 10x + 2y = -2 to slope-intercept form (y = mx + b):

10x + 2y = -2
2y = -10x - 2
y = -5x - 2/5

The slope is -5. Parallel lines have the same slope; the question provides the y-int (12), so our equation is:

y = -5x + 12

Hope this helps.

5 0

3 years ago

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Danielle has taken five math tests so far this year. The tests are out of twenty points, and she has gotten the following scores

dusya [7]

14, 16, 17, 19, 20
17 is the middle one so the answer is 17

Hope this helps :)

6 0

3 years ago

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5(-5x - 2) = 10(-5x+4)

natulia [17]

Answer:

5(-5x - 2) =

-25x - 10

10(-5x+4) =

-50x + 40

-25x-10 = -50x+40

-25x = -50x + 50

25x = 50

x = 2

7 0

3 years ago

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be inc

Serjik [45]

Answer:

Option B

Step-by-step explanation:

Given:

As per the contract "Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”

So,buyer needs to only notify the bank about the monthly payments in case of delinquency and not about if payment is going to be late or not.

Option B is correct

Notify the bank if a payment is going to be late !

8 0

3 years ago