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AleksAgata [21]
3 years ago
11

Another Question in my test

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

\sqrt{v/\pi}h

Step-by-step explanation:

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A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How
il63 [147K]
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.

The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1

So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50

Replace y with f(x) to get f(x) = 30x+50

The linear function for the cost is f(x) = 30x+50

Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same

Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.

f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185

It will cost 185 dollars to have the painter work for 4.5 hours
7 0
4 years ago
If y varies inversely as x, and y=6 when x=3. Then find the value of y when x=32
s2008m [1.1K]

Answer: y = 18/32


Step-by-step explanation: Okay the equation is xy = k

You plug in x and y.

(3)(6) = k

18 = k

To get the value of y when x = 32 you plug in 32.

Use this equation now y = k/x

Now it is y = 18/32

And that is your answer!


7 0
3 years ago
Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 fe
Genrish500 [490]
<span>4000 so the answer is C
Hope this helps</span>
6 0
3 years ago
2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are t
Ber [7]

Answer:

There are 8 males in the class and 42 females.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of females.

y is the number of males.

Class of 50 students

This means that x + y = 50

The number of females is 2 more than 5 times the number of males.

This means that x = 5y + 2

So, finding y, the number of males:

x + y = 50

5y + 2 + y = 50

6y = 48

y = \frac{48}{6}

y = 8

Females:

x = 5y + 2 = 5*8 + 2 = 42

There are 8 males in the class and 42 females.

7 0
3 years ago
The top rectangle has a base b and a height h. The bottom rectangle has a base that is 1/3 of the length of the base of the top
Amiraneli [1.4K]

Answer:

Tracy's explanation would be the simplest because 1\6 is half of one third she eliminated the need for an extra step if left the other way

5 0
3 years ago
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