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Fantom [35]
2 years ago
13

A starting carpenter can build a rough table in 1 hour, and a rough chair in 45 minutes. A finishing carpenter can finish each t

able in 48 minutes and finish each chair in 1 hour. Both carpenters work for no more than 8 hours each day. This situation is modeled in the graph below, where x represents the number of tables, and y represents the number of chairs.
Is it possible for the two carpenters to complete four tables and five chairs in a day?

A) Yes
B) No
C) There is not enough information.

Mathematics
1 answer:
Delvig [45]2 years ago
3 0

Answer:

I believe it is b

Step-by-step explanation:


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Bought three boxes totaling 151 book cost 50% more than the other two what was the price of the more expensive book 80 85 90 95
GenaCL600 [577]
Two cheaper books = x
more expensive = 1.5x
so, 2.5x=150
150/2.5=x=60
therefore the more expensive book = 90
7 0
3 years ago
Determine the sample size needed to construct a 99​% confidence interval to estimate the average GPA for the student population
Volgvan

Answer: n = 14

Step-by-step explanation: margin of error = critical value × σ/√n

Where σ = population standard deviation = 1

n = sample size = ?

We are to construct a 99% confidence interval, hence the level of significance is 1%.

The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58

Margin of error = 0.7

0.7 = 2.58×1/√n

0.7 = 2.58/√n

By cross multipying

0.7×√n = 2.58

By squaring both sides

0.7^2 × n = 2.58^2

0.49 × n = 6.6564

n = 6.6564/0.49

n = 14

3 0
3 years ago
Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
Tcecarenko [31]

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

m=\frac{1+1}{3-0}

m_1=\frac{2}{3}

step 2

Find the slope of the function g(x)

take two points of the given table

(0,2) and (3,4)

substitute in the formula

m=\frac{4-2}{3-0}

m_2=\frac{2}{3}

step 3

Compare the slopes

m_1=m_2

therefore

The slope of f(x) is equal to the slope of g(x).

7 0
3 years ago
Read 2 more answers
If the scale factor was 1.5 would that create an enlargement or reducti<br> of the original figure?
puteri [66]
If we take for example 20x1.5=30 the scale factor would create an enlargement
7 0
3 years ago
Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the f
Dvinal [7]
This is quite simple. We will first add the amount of miles walked together.
3.25+5.5=8.75
Then we will divide 175 by the number of miles walked which in this case is 8.75.
Then we get 20 which is the amount of money that his parents donated for every mile that he walked.
4 0
3 years ago
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