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blsea [12.9K]
3 years ago
13

Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equati

ons to find the cost of the shoes x and the cost of the jacket y. Then find the cost of the jacket.
Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

  • x+y=52
  • x-y=4
  • y=24

Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

  x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

  x - y = 4

These are your system of equations.

__

Subtract the second equation from the first:

  (x +y) -(x -y) = (52) -(4)

  2y = 48 . . . . . simplify

  y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.

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pishuonlain [190]

Answer:

The Discount Percent is 57.50% and the Discount Amount is $31.05

Step-by-step explanation:

To find the discount percent you use the formula D = (L - S) / L x 100. To find the discount amount you take the <u>inital list price</u> and subtract it from the <u>sale price</u>.

4 0
3 years ago
Yara multiplies and divides a certain number by the same
Butoxors [25]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004

From the first equation we have:

10 ^ y = \frac {40,000} {x}

Substituting in the second equation:

\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}

We choose the positive value:

x = 0.4

So, the number is 0.4.

So:

10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5

Thus, the exponent is 5.

Answer:

Yara use 0.4 and10 ^ 5

8 0
3 years ago
PLSSSS HELP MEEE IM FIXING MY GRADES 2 to the power of 2 + 2(4 − 2)
Vitek1552 [10]

Answer:

8

Step-by-step explanation:

2^2+2(4-2)

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8

Hope this helps :D

4 0
2 years ago
Read 2 more answers
Item 16
Lady bird [3.3K]
First answer is right
Base is 8
Height is 9
9x8=72
72/2=36

36 units ^2
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3 years ago
A spinner with 12 equally sized slices has 12 yellow slices. The dial is spun and stops on a slice at random. What is the
saveliy_v [14]

Answer:

1/1

Step-by-step explanation:

The reason why is because the spinner has 12 slices and on that spinner there is 12 yellow slices meaning all the slices on the spinner are yellow.

This means it is a 100% chance to land on yellow but 100% aas a fraction is 100/100.

You can simplify 100/100 a hundred times to 99/99 to 98/98 you can keep doing it but it's lowest form is the lowest number besides zero and that is 1 so it's lowest form is 1 out of 1 or 1/1 or 100%.

Hope this helps have a great afternoon:)

3 0
2 years ago
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