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Mars2501 [29]
3 years ago
10

Rachel really wants to purchase a new skateboard and her mother has agreed to give her a weekly allowance that she can save unti

l she has $220 (enough to buy the skateboard). Rachel’s mother is a math teacher and presents two different plans for paying her weekly allowance
Plan 1: a fixed weekly payment of $25


Plan 2: a 120 initial plus payment $10 per week


Part 1: write an equation for each plan explain what information the variables and numbers represents


Part 2: which plan requires number of weeks to save enough money for the kateboard? Explain or show your work
Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Please mark brainliest!

Part 1:

Plan 1: y = 25x

Plan 2: y = 120 + 10x

x = number of weeks

y = total money

Part 2:

Plan 1 requires 8.8 weeks.

220/25 = 8.8

Plan 2 requires 10 weeks.

220 - 100 = 100

100/10 = 10 weeks

Plan 1 is best since the money is earned faster.

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Part B:
Andrew [12]

Articles of clothing that the store received last Thursday is 84

<u>Solution:</u>

Given that  

A clothing donation store received numerous articles of clothing on Thursday of last week.

The number of articles of clothing that the store received last Thursday is represented by the following expression:

4 (3x − 1) − 2 (6 + 2x)

Need to calculate articles of clothing that the store received last Thursday when x = 12.5

As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.

On substituting x = 12.5, we get

4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )

=> 4 (37.5 – 1) – 2 (6 + 25)

=> 146 – 62 = 84

On substituting x = 12.5 , we are getting value of expression as 84.

Hence articles of clothing that the store received last Thursday is 84

3 0
3 years ago
12 of 18
melisa1 [442]

Answer:

3x+3y and distributive property

Step-by-step explanation:

It is given that

Gretchen buys three bags of apples = 3X

Hayley buys three bunches of bananas = 3Y

As it is also mentioned that it first it is multiplied and then it is added

So, the expression for determining the total number of fruit pieces is

3X + 3Y

And, this expression denotes the distributive property in which we multiplied the each variable and then added it

7 0
3 years ago
Whole Numbers include both positive and negative numbers. t or f
Alex

Answer:

t

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the value of X?
sleet_krkn [62]

Answer:

  11/3 = 3 2/3 ≈ 3.66667

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs:

  3x = (1/2)((9x +25) -36)

  6x = 9x -11

  11 = 3x . . . . . . . add 11-6x

  11/3 = x

_____

The attached figure is drawn to scale.

5 0
3 years ago
What is an equation of the line in slope intercept form m=3 and the y-intercept is (0 4)
Daniel [21]
 The correct way to write slope intercept is y=3x+4
7 0
3 years ago
Read 2 more answers
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