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coldgirl [10]
2 years ago
5

Kyle is saving money to buy a bicycle.He has 45.50 in his savings account and saves account and saves 15% of his paper route ear

nings each week.After 10 weeks,he has $90.50 im his savings account.Let K represent the amount kyle earns each week from his parents route.
Mathematics
2 answers:
bagirrra123 [75]2 years ago
7 0
45.50+15%10=90.50 hope this helps
blondinia [14]2 years ago
5 0

Answer:

Option A and E is correct.

Step-by-step explanation:

Given : Kyle is saving money to buy a bicycle.He has 45.50 in his savings account and saves account and saves 15% of his paper route earnings each week.After 10 weeks,he has $90.50 im his savings account.Let K represent the amount kyle earns each week from his parents route.

To find : Choose True or False for each statement ?

Solution :

Let k be the amount Kyle earns each week from his paper route

and w be the number of weeks.

According to question,

45.50+0.15wk=90.50

For w=10 weeks,

45.50+0.15(10)k=90.50

0.15(10)k=90.50-45.50

1.5k=45

k=\$30

Case A) The equation 45.5 +0.15(10k) = 90.5 represents this situation.

The statement is True.

Case B) The equation 45.5 + 0.15k + 10 = 90.5 represents this situation.

The statement is False.

Case C) Each week, Kyle saves $5.00.

The statement is False.

Case D) Each week, Kyle saves $4.50.

The statement is False.

Case E) Kyle earns $30.00 each week from his paper route.

The statement is True.

Case F) Kyle earns $45.00 each week from his paper route.

The statement is False.

Therefore, option A and E is correct.

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Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

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------------

Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
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Step-by-step explanation:

Simplifying

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Add '-7x' to each side of the equation.

-4 + 5x + -7x = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x

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