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Nimfa-mama [501]
3 years ago
11

The janitor at a school discovered a slow leak in the pipe. The janitor found that it was leaking at a rate of 4 fl oz per minut

e. How fast was the pipe leaking in gallons per hour
Plz help thank you
Mathematics
1 answer:
Lilit [14]3 years ago
4 0
Well... first, how many oz are in one gal? i think its... 128. Don't quote me. But I'm pretty sure its 128. So then... how many minutes are in an hour? 60. So... 

And the answer is: 1.87 Gallons. 

Hope this helps.


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The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost,
aleksandr82 [10.1K]

Answer:

$2,820

Step-by-step explanation:

In this question, we need to find how much profit the company made.

First, find how much revenue they made using the expression: 5x² + 2x - 80

Since we know they sold 1,000 videogame systems, plug in 1000 into x.

5(1000)² + 2(1000) - 80

Solve:

5(1000)² + 2(1000) - 80

5000000 + 2000 - 80

Revenue: $5,001,920

Since revenue is not the number for profit, we need to find how much it cost to make the 1000 videogame systems. Use the expression: 5x² – x + 100

Plug in 1000 to x.

Solve:

5(1000)² – 1000 + 100

5000000 – 1000 + 100

Cost to make: $4,999,100

Now, to find the profit, we would subtract the cost to make from the revenue. This is represented with the function: P(x) = R(x) - C(x)

P(x) = Profit

R(x) = Revenue

C(x) = Cost

Solve:

5,001,920 - 4,999,100 = $2,820

This means that the company made $2,820 in profit

8 0
3 years ago
Ok here is the question I need it answered fast I'll give brainliest!
natima [27]
Answer:

It’s C!!!

Explanation: have an amazing day!
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3 years ago
Esin started a T-shirt-printing business. She spent $2500 to purchase supplies to get started and she uses about $4.50 worth of
murzikaleks [220]
Make profit i believe the answer is

<span>25s>2500+4.5s

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8 0
3 years ago
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Points A(7-5), B(-1,-2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
prohojiy [21]

Answer:

it is a right angled triangle

4 0
3 years ago
Find the equation of the line that passes through (0, -3) and is parallel to
Tresset [83]

Hey there!

\\

  • Answer:

\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

  • Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \: \sf{d_1} \: and the line that is parallel to \: \sf{d_1} \: be \: \sf{d_2} \: .

\sf{d_2} \: passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}

\\

⇒Subtitute the values :

\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}

\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}

\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}.

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \:  the \: line \: and \: b \: is \: the \: y-intercept.}

\implies \sf{y = \bold{\dfrac{7}{6}}x + b} \\

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \: \sf{d_1} \:. Now, replace y with -3 and x with 0:

\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
2 years ago
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