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igor_vitrenko [27]
3 years ago
15

A construction company is moving large rocks. It takes 3/4 hour to move 12 rocks. The construction company has already moved 60

of the 144 rocks that need to be moved. How long, in hours, will it take the construction company to move the remaining rocks? *

Mathematics
1 answer:
Luden [163]3 years ago
3 0
First divide the rocks per 3/4 of an hour by 3 and multiply by 4 to get the production per hour. then subtract the already moved rocks from the total job and divide the answer by 16 (the rocks moved per hour) getting the time needed to move the rest

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Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
1) There are 80 grams of salt in a 32% solution. Find the weight of the solution
alukav5142 [94]

Answer:

Weight of the solution = 250 grams

Step-by-step explanation:

1) Consider the weight of solution as x grams.

32 % solution = 80 grams salt

32% of x = 80

(32/100)*x = 80

Solving for x:

x  = (80*100) / 32

x = 250 grams

7 0
3 years ago
Shawn Fitzgerald finds a suitable property and agrees upon a selling price of $137,900. The mortgage company requires a 20% down
Phantasy [73]
Amount financed
137,900−137,900×0.20
=110,320
number of thousands
110,320÷1,000
=110.32
Multiply it by the monthly payment per thousands
110.32×7.34
=809.7488
Now multiply it by the number of months in a year
809.7488×12 months
=9,716.9856
Multiply it by the number of years
9,716.9856×30
=291,509.568
Now the total amount of interest charged
291,509.568−110,320
=181,189.568 round your answer
=181190...answer

Hope it helps
4 0
3 years ago
Read 2 more answers
X divided by 4=28 solve x
gtnhenbr [62]

Answer:

112

Step-by-step explanation:

Do the opposite to get your answer.

28 x 4 = x

x = 112

3 0
4 years ago
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s2008m [1.1K]

7 mph and started 1 mile from the house = 7x + 1.


The second day, he rode 10 mph = 10x.


Answer: D

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3 years ago
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