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algol [13]
2 years ago
14

If a varies directly with b, write the constant of proportionality equation.

Mathematics
1 answer:
irina1246 [14]2 years ago
4 0
1. 10=5(2)
2.k=5
3. 10=1/5(2)
4.2=5(10)
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Describe and correct the error in finding the solution.​
yaroslaw [1]
The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
6 0
3 years ago
The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

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2 years ago
A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How man
nika2105 [10]
The answer would <span>531. You would add 18% more employees to the company so the answer is 531. I really hope this helped you. Have a nice day!</span>
4 0
3 years ago
HELP PLEASE ANSWER QUICKLY!
quester [9]

Answer:

3 twelths is your answer :)

8 0
3 years ago
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A map of a rectangle park has a length of 4 inches
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Answer:

a map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles

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