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schepotkina [342]
3 years ago
6

This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he cha

rged the new subscribers $3 less than the repeat customers. If x represents the amount Michael collects from each repeat customer, which equation models this problem?
Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

Answer:

Equation will be 40x + 18(x - 3) = 468

Step-by-step explanation:

If 'x' represents the amount Michael collects from each repeat customers then amount collected from 40 customers = 40x

If he charged $3 less than the repeat customers then amount charged from 18 customers = $18(x - 3)

Total amount he collected = $468

Therefore, the equation modeling the situation will be

Amount collected from repeated customers + Amount collected from new customers = Total amount collected

40x + 18(x - 3) = 468

loris [4]3 years ago
7 0
468=40x+18(x-3)
468=40x+18x-54
468=58x-54
522=58x
9=x
I'm not sure if you need to know x at all, if not, the top equation is all you need.
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Find the height "h" so that its area is equal to 400 square cm.
jenyasd209 [6]

Answer:

h = 20 cm

Step-by-step explanation:

The area of a trapezoid is given by

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400 = 1/2 (27+13) *h

400 = 1/2 (40) *h

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5 0
3 years ago
Amanufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. It is
ankoles [38]

Answer:

There is not enough evidence to support the claim that the bags are under filled.

Step-by-step explanation:

Given :

Population mean, μ = 433

Sample size, n = 26

xbar = 427

Variance, s² = 324 ; Standard deviation, s = √324 = 18

The hypothesis :

H0 : μ = 433

H0 : μ < 433

The test statistic :

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-6 / 3.5300904

T = -1.70

The Pvalue :

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Since Pvalue > α ; WE fail to reject the Null and conclude that there is not enough evidence to support the claim that the bags are underfilled

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