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ch4aika [34]
3 years ago
6

Adrian has $190 to spend on his little brother's birthday party. The clown is going to

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

120 + 3.5x≤ 190

Step-by-step explanation:

Add up all the costs

80+ 10+10+20 + 3.50x where x is the number of cupcakes

Combine like terms

120 + 3.5x

This must be less than or equal to 190

120 + 3.5x≤ 190

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Hank and Lynn are both paying off car loans. • Hank paid $2,000 up front when he bought his car, and he pays $200 each month. •
8090 [49]

Answer:

Yes

Step-by-step explanation:

<h3>Hank</h3>

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

<u> This relation is:  </u>

  • H(x) = 2000 + 200x

This is proportional but not directly proportional.

<h3>Lynn</h3>

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

<u>  This relation is:  </u>

  • L(x) = 275x

This is directly proportional.

<u>So the answer is:</u>

Yes, the relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

8 0
3 years ago
What is the solution to the following system of equations?
Damm [24]

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 6 → (1)

2x + 2y = 4 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 6 + 3y → (3)

Substitute x = 6 + 3y into (2)

2(6 + 3y) + 2y = 4 ← distribute and simplify left side

12 + 6y + 2y = 4

12 + 8y = 4 ( subtract 12 from both sides )

8y = - 8 ( divide both sides by 8 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 6 + 3(- 1) = 6 - 3 = 3

Solution is (3, - 1 )

6 0
3 years ago
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a, each number can be divided by a

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Step-by-step explanation:

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