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Mrac [35]
3 years ago
14

Krystal bought a refrigerator from a rental center for $1,050. She makes 16 monthly payments of $112.75 with her credit card. Th

e rental center charges $1.25 for every payment made with a credit card. What is the total cost of the refrigerator?
$1,050

$1,804

$1,824

$2,052

Description
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Mathematics
2 answers:
Luden [163]3 years ago
7 0
The total cost of the refrigerator was $1,824
Vaselesa [24]3 years ago
7 0

Let

n--------> number of monthly payments

x-------> amount of monthly payments with Kristal's credit card

y-------> charges for every payment made with a credit card

T-------> total cost of the refrigerator

we know that

n=16\\x=\$112.75\\ y=\$1.25\\

the total cost of the refrigerator is equal to

T=n(x+y)

substitute the values in the formula

T=16*(112.75+1.25)

T=16*114

T=\$1,824

therefore

<u>the answer is</u>

the total cost of the refrigerator is equal to \$1,824

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A construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. If the buildi
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Let x represent the height of the model.

We have been given that a construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. We are asked to find the height of the model, if  the building is expected to be 200 feet tall.

We will use proportions to solve our given problem as:

\frac{\text{Model height}}{\text{Actual height}}=\frac{\text{Model length}}{\text{Actual length}}

Upon substituting our given values, we will get:

\frac{x}{200\text{ ft}}=\frac{3\text{ in}}{\text{32 ft}}

\frac{x}{200\text{ ft}}\times 200\text{ ft}=\frac{3\text{ in}}{\text{32 ft}}\times 200\text{ ft}

x=3\text{ in}\times 6.25

x=18.75\text{ in}

Therefore, the model will be 18.75 inches tall.

7 0
2 years ago
-5+|-15÷(-5) |2(-5) ​
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Answer:

The value of this expression is -35.

Step-by-step explanation:

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-5+|-15/-5|*2*(-5)\\-5+3*-10\\-5+-30\\-35

In conclusion, the value of this expression is -35. Hope this helped :D

7 0
3 years ago
Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana th
Licemer1 [7]

Answer:

Step-by-step explanation:

Let x represent the number of bananas that Tommy eats.

Let y represent the total number of pieces of fruit that the monkey eats.

Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana that tommy eats. This means that the number of bananas that the monkey eats is 2x. The expression for the total number of fruits eaten by the monkey becomes

y = 2x + 4

4 0
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Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanatio
motikmotik

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

<em>Subtract 5b from both sides</em>

10a=4.2-5b

<em>Subtract 4.2 from both sides</em>

10a-4.2= -5b

<em>Multiply both sides by -1</em>

-10a+4.2=5b

8a+10b=5.4

<em>Subtract 10b from both sides</em>

8a=5.4-10b

<em>Subtract 5.4 from both sides</em>

8a-5.4= -10b

<em>Multiply both sides by -1</em>

-8a+5.4= 10b

<em>Divide both sides by 2</em>

-4a+2.7=5b

<u>Combine equations:</u>

-4a+2.7= -10a+4.2

<em>Add 10a to both sides</em>

6a+2.7=4.2

<em>Subtract 2.7 from both sides</em>

6a=1.5

<em>Divide both sides by 6</em>

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

<em>Subtract 10a from both sides</em>

5b= -10a+4.2

<em>Subtract 4.2 from both sides</em>

5b-4.2= -10a

<em>Multiply both sides by -1</em>

-5b+4.2=10a

8a+10b=5.4

<em>Subtract 8a from both sides</em>

10b= -8a+5.4

<em>Subtract 5.4 from both sides</em>

10b-5.4= -8a

<em>Divide both sides by 4</em>

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

<em>Multiply both sides by -1</em>

-12.5b+6.75=10a

<u>Combine equations:</u>

-12.5b+6.75= -5b+4.2

<em>Add 12.5b to both sides</em>

6.75=7.5b+4.2

<em>Subtract 4.2 from both sides</em>

2.55=7.5b

7.5b=2.55

<em>Divide both sides by 7.5</em>

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

3 0
3 years ago
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