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Ainat [17]
3 years ago
9

Solve for the variables and show work please

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

e=30

k=15/2

h=90

Step-by-step explanation:

3e=60

e=30

30+4k=60

4k=30

k=15/2

15/2+2h=30

2h=45/2

h=90

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Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha
dybincka [34]

Answer:

The correct answers are:

0.95g

g - 0.05g

(1 - 0.05)g

Step-by-step explanation:

Amount of last week's rain = g inches

this week = 5% decrease on last week's amount

5% of last week's amount = 5/100 × g = 0.05g

∴ This week's amount of rain = 0.05g decrease

∴ Amount of rain this week = (Amount of rain last week) - 0.05g

∴ Amount of rain this week = g - 0.05g

This can be simplified by factorizing the common term "g"

g - 0.05g = g(1 - 0.05) = 0.95g

4 0
2 years ago
The perimeter of a rectangle swimming pool is 160 feet. The length of the swimming pool is four times its width . Find the dimen
Helga [31]
Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>
3 0
3 years ago
Read 2 more answers
Determined to find the slope<br>(1 7K), and (-3,5K)​
Helga [31]

Answer: \dfrac{K}{2} .

Step-by-step explanation:

As we know ,

The slope of a line that passes through (x_1,y_1) and (x_2,y_2)  is given by :

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

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}

Hence, the slope of the given line is \dfrac{K}{2} .

8 0
3 years ago
I went to the grocery store with $50. I purchased two gallons of milk for $3 each, a loaf of bread for $2, and three dozen of eg
Fofino [41]

Answer:

The answer to your question is $36

Step-by-step explanation:

Data

Total money = $50

2 gallons of milk = $3

a loaf of bread = $2

a dozen of eggs = $3

Write an equation to solve this problem

Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost

Substitution

                          $3 + $2 + 3($3) + remainder = $50

Simplification

                          3 +  2 + 9 + remainder = 50

                          remainder = 50 - 3 - 2 - 9

result

                         remainder = $36                      

4 0
3 years ago
Which of the following tables represents a quadratic function ? Explain how you know .
Aliun [14]
B, the first differences are not the same , that proves it is not linear. The second set of differences are the same this shows it is a quadratic function.

4 0
3 years ago
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