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Savatey [412]
2 years ago
10

Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. Jam

es makes $816 per year. How much less each month does James make than Matt?
Which expression represents the amount of money James makes each month?


Which equation represents the scenario?
Mathematics
2 answers:
AlladinOne [14]2 years ago
5 0

Answer:

Which expression represents the amount of money James makes each month?

✔ (80 – x)

Which equation represents the scenario?

✔ 12(80 – x) = 816

Step-by-step explanation:

Ad libitum [116K]2 years ago
3 0

Answer:

he makes $12 less.

Step-by-step explanation:

$80X12=960 - Matts income for the year

960-816=144 -How much less James makes than Matt per year

144/12=12 - How much less James makes than Mat per month

leave 5 stars and a thanks if it was helpful.

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A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles, and measures one-half inc
katrin2010 [14]

Answer:

<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Scale factor for the map of the town = 0.5 inches: 3 miles

Distance from Niko's house to his school = 3 miles

Distance from Niko's school to the library = 4 miles

2. Let's find the distance of the library in the map

Distance of the library in the map = Distance of the library * Scale factor

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Distance of the library in the map = (2 miles * inches)/3 miles

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2 years ago
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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1                    0.1702

28.5                  1.0252

28.8                  0.5077

29.4                   0.0127

29.8                  0.0827

29.8                  0.0827

30.1                   0.3452

30.6                   1.1827

----------------------------------------

236.1                 3.4088

Mean = 236.1 / 8 = 29.51

S_{x}=\sqrt{3.4088/(8-1)}=0.6978

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

t

Finding in the t distribution table α=0.05 with df=7, we have

t_{0.05,7}=2.365

t>-t_{0.05,7} = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

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