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.
Answer:
x = 45
Step-by-step explanation:
Corresponding sides of similar triangles will be in same ratio.

Cross multiply
x*28 = 20*(x+18) {Use distributive method}
28x = 20x + 360
28x - 20x = 360
8x = 360
x = 360/8
x = 45
Total play = 20
Nancy win = 12
Ratio would be: 12/20 = 6/10 = 3/5
So, your answer is 3/5
Set up a system of equations:




x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.
For the first equation, subtract y from both sides to get x by itself:

We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:

Distribute the 10 to both terms in parentheses:



Combine like terms:


Subtract 90 from both sides:

Divide both sides by -3 to get y by itself:

6 long sleeve shirts were bought.
Now you have a value for y. Input this value into the first equation:

Subtract both sides by 6 to get x by itself:

3 tee shirts were bought.
The answer is B. 3 tee shirts and 6 long sleeve shirts.
Sophia has not even completed 1 book. She has managed to complete 83% of the book.
<u>Explanation:</u>
Given:
Time taken to read one book = 1/5
Total weeks for which sophia read = 1/6
Number of books, z = ?
Total weeks = z X time taken to read one book

Therefore, sophia has not even completed 1 book. She has managed to complete 83% of the book.