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PSYCHO15rus [73]
2 years ago
12

1. Which of the following is an example of a system of equations?

Mathematics
1 answer:
Anni [7]2 years ago
7 0

Answer: (1)

Step-by-step explanation:

A system of equations must have two equations. The first option is the only one that satisfies this.

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Vera already owns 10 necklaces, and additional necklaces are priced at 2 for a dollar. How much money does Vera need to spend on
Llana [10]

Vera has 5 pairs of necklaces and wants to own 22 pairs. That means she needs to purchase 17 pairs at $1 per pair.

Vera needs to spend $17.

7 0
3 years ago
when nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall. what was the per
Ivahew [28]

Answer:

The percent change in Nancy height is 10%

Step-by-step explanation:

Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.

We have to find the percent change in her height.

Percentage change is given by the ratio of the difference in old value and new value to the old value times 100

Mathematically written as

Percentage\ change =\frac{new\ value-old\ value}{Old\ value}\times 100

For the given data,

Old value = 60 inches

New value = 66 inches

Thus, the Percentage change is given as,

Percentage\ change =\frac{66-60}{60}\times 100

Simlify, we have,

Percentage\ change =\frac{6}{60}\times 100

Thus, The percent change in her height is 10%

7 0
3 years ago
Read 2 more answers
1.) Last year, Diane biked k miles. This year, she biked
Naddika [18.5K]

Answer:

1.) k + 516

2.) 2n - 4 = 3

3.) 57 - 2s

4.) 9h = 153

5.) c = 5n

Step-by-step explanation:

All of the problems given require you to set up an expression or equation.  Expressions have a variable and a coefficient or a constant.  Equations also have a variable, coefficient or constant but also include an equal sign.

1.) last year's miles = k, this year = 516, so total:  k + 516

2.) twice the difference of a number and 4 equals 3

twice a number = 2n; difference of this number and 4: 2n - 4; equals 3: =3

2n - 4 = 3

3.) 57 decreased: 57 -; twice her savings: 2s:  57 - 2s

4.) 153 is:  153 =; the product of height and 9:  9h, so 9h = 153

5.) notebooks 'n', were $5 each:  5n; total cost = c, so 5n = c

8 0
3 years ago
The dimension of a rectangular pool are 24.5 feet by 13 feet. The depth of the water is 4 feet. Each cubic foot contains 7.48 ga
Vilka [71]
Multiply length by width, and height. Than multiply the volume by 7.48 gal. Than you have the amount of water that can fill the whole pool. Than multiply by 0.8. and subtract it from the original volume. 
8 0
3 years ago
Read 2 more answers
The screen of an eReader has a length of 8 inches and a width of 6 inches.Can the page content from an atlas that measures 19 in
Ronch [10]

Answer: No, the page content of the atlas cannot be replicated on the eReader.

Please check explanations below for solution to question (b)

Step-by-step explanation: The dimensions of the eReader screen is given as 8 inches by 6 inches. In order to move a rectangular shape such as the atlas onto it would require the same measurements or, a measurement that has the same ratio as both the length and width of the screen, but a reduced size.

This brings us to similar shapes. When two shapes (rectangles in this case) are similar, it simply means there is a common ratio between the corresponding sides, that is the length and the width. If rectangle 1 has its side measuring 8 inches, then rectangle 2 would have the corresponding side having a common ratio with that of rectangle 1. This means the corresponding side in rectangle 2 can either be an enlargement (which would mean 8 times a scale of enlargement) or a reduction (which means 8 divided by a scale of reduction).

In the question given, the eReader screen has dimensions of 8 inches by 6 inches. The atlas has dimensions given as 19 inches by 12 inches. By observation we can see that the width of the atlas is times 2 of the screen. The length of the atlas however is not times 2 of the screen. That is;

Ratio = Rectangle 1 : Rectangle 2

Ratio of Width = 6 : 12

Ratio of Width = 1 : 2

Likewise

Ratio of Length = 8 : 19

Ratio of Length ≠ 1: 2

This proves that the atlas cannot be scaled down to fit properly into the screen. A solution to make this possible would be to resize the length of the atlas to become times 2 of the eReader screen. This would result in the atlas having new dimensions given as

Length = 16 inches

Width = 12 inches

This would ensure that both rectangular shapes are similar and the atlas can now be scaled down by a factor of 2 to fit in properly into the eReader screen.

8 0
3 years ago
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