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3 years ago

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Besty has $27 saved. This month she saved an additional $9. She wants to buy packs of colored string to make bracelets. Each pac

k costs $6. Besty says she now has enough money to buy 6 packs. Carl says she has enough money to buy only 3 pack. I Besty or Carl correct? Explain your answer

2 answers:

aalyn [17]3 years ago

7 0

Answer:

Yes, Besty is correct.

Step-by-step explanation:

$27 + $9 = 36. 36 divided by 6 is 6. Besty would only be able to buy 3 packs if each pack costed $12 (36 divided by 12 is 3).

Vedmedyk [2.9K]3 years ago

5 0

Besty is correct. Believe me

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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 classe

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Answer:

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 $\$8.99$

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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

<em>Members</em>

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so

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

<em>Non-Members</em>

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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

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$100 < 5x$

Divide by 5 both sides

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$x > 20$

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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

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

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solve for x

subtract 8 both sides

$3x=23-8$

$3x=15$

Divide by 3 both sides

$x=5$

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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 $b=\$36$

so

$y=0.42x+36$

For x=78 miles

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$y=0.42(78)+36$

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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

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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

so

The linear equation is equal to

$27x=242.73$

solve for x

Divide by 27 both sides

$x=\$8.99$

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The linear equation in slope intercept form is equal to

$y=mx+b$

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b is the y-intercept or initial value

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y ----> the total cost

x ----> the number of classes

we have

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

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so

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

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

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$120 < 11x-7x$

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$x > 30$

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