Mathematics, 20.12.2019 23:31 goobert

1) members at a yoga school pay $10 per class plus a one-time $100 membership fee. non-members pay$15 per class. how many classes would a member have to take to save money compared to taking classes as a non-member?

2) translate the statement into an equation. then solve the equation. the sum of 8 and 3 times a number is 23.

6) members at a yoga school pay $7 per class plus a one-time $120 membership fee. non-members pay $11 per class. how many classes would a member have to take to save money compared to taking classes as a non-member?

answer all questions , and if u can show u work,

3)a rental car costs $36 for one day plus an additional $0.42 per mile. what is the cost of renting a car for one day and driving it 78 miles?

4) alice earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. she worked 50 hours this week and earned $660. what is her normal hourly rate?

5) cynthia orders 27 prints of a photograph she took. it costs her a total of $242.73. which equation can be used to find how much each print cost?

Answers: 2

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Answers

Answer from: bammbamm538

Part 1) The number of classes must be greater than 20

Part 2) see the explanation

Part 3) $\$68.76$

Part 4) $\$12\ per\ hour$

Part 5) The equation that can be used is 27x=242.73 and the cost of one print is $\$8.99$

Part 6) The number of classes must be greater than 30

Step-by-step explanation:

Part 1) we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

Let

y ----> the total cost

x ----> the number of classes

we have

Members

The slope is $m=\$10\ per\ class$

The y-intercept is $b=\$100$

y=10x+100 ----> equation A

Non-Members

The slope is $m=\$15\ per\ class$

y=15x ----> equation B

To find out how many classes would a member have to take to save money compared to taking classes as a non-member, solve the following inequality

10x+100 < 15x

Solve for x

subtract 10 x both sides

100 < 15x-10x

100 < 5x

Divide by 5 both sides

20 < x

Rewrite

x 20

therefore

The number of classes must be greater than 20

Part 2) we have

The sum of 8 and 3 times a number is 23.

Let

x ----> the number

Remember that

3 times a number is the same that multiply 3 by the number ----> 3x

The sum of 8 and 3 times a number is 23 is the same that

8+3x=23

solve for x

subtract 8 both sides

3x=23-8

3x=15

Divide by 3 both sides

x=5

Part 3) we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

Let

y ----> the total cost of renting a car for one day

x ----> the number of miles

we have

The slope is $m=\$0.42\ per\ mile$

The y-intercept is $b=\$36$

y=0.42x+36

For x=78 miles

substitute in the linear equation and solve for y

y=0.42(78)+36

$y=\$68.76$

Part 4) Let

x ----> Alice's normal hourly rate

we know that

40 hours multiplied by her normal hourly rate plus 10 hours (50 h-40 h) multiplied by 1.5 times her normal hourly rate must be equal to $660

The linear equation that represent this situation is

40x+10(1.5x)=660

solve for x

40x+15x=660

55x=660

Divide by 55 both sides

$x=\$12\ per\ hour$

Part 5) Let

x ----> the cost of one print

we know that

The cost of one print multiplied by 27 prints must be equal to $242.73

The linear equation is equal to

27x=242.73

solve for x

Divide by 27 both sides

$x=\$8.99$

Part 6) we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

Let

y ----> the total cost

x ----> the number of classes

we have

Members

The slope is $m=\$7\ per\ class$

The y-intercept is $b=\$120$

y=7x+120 ----> equation A

Non-Members

The slope is $m=\$11\ per\ class$

y=11x ----> equation B

To find out how many classes would a member have to take to save money compared to taking classes as a non-member, solve the following inequality

7x+120 < 11x

Solve for x

subtract 7x both sides

120 < 11x-7x

120 < 4x

Divide by 4 both sides

30 < x

Rewrite

x 30

therefore

The number of classes must be greater than 30

Answer from: Quest

find the magnitude of the trig term

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find the lower bound of the range.

tap for more

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find the upper bound of the range.

tap for more

the range is

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step-by-step explanation:

Answer from: Quest

step-by-step explanation:

it have 5 sides and 5 identicle angle.the rest does not have the same property as b.

brainliest

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