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Ludmilka [50]
1 year ago
8

In one month, Jason eams $32.50 less than twice the amount Keyin earns, Jason earns $212.50write and solve an equation to solve

for the amount of money that kevin earns
Mathematics
1 answer:
Molodets [167]1 year ago
5 0

Let the amount Kevin earns be represented with K

Let the amount Jason earns be represented with J

Jason earns $32.50 less than twice Keyin earns can be represented by

J = K - 32.5 ----- equation 1

Jason earns $ 212.5

J = 212.5 ----- equation 2

From equation 1, we can write the equation to solve for what Kevin earns

J = K - 32.5

Making K the subject of the formula

K = J + 32.5

Putting J = 212.5 into the equation above

K= $ 212.5 + $ 32.5

K = $ 245

Kevin earns $245

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Answer:

$27

Step-by-step explanation:

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20 + 1.25(20) = retail price

$45 = retail price.

To find 40% off of that, use

$45 - .4($45) = sale price

$27 = sale price (aka discount price)

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3 years ago
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3 years ago
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Pani-rosa [81]

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

3 0
3 years ago
Find two numbers with a sum of 20 and a difference of 14.
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A and B Definitely. 3 and 17, -3 and -17
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3 years ago
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