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Anastaziya [24]
3 years ago
9

A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x rep

resents the amount of water in the pool after x hours.
part a: Find h(3.25).

part b: describe the meaning of h(3.25) in the context of the situation. after _____ the total amount of water in the pool will be ______.​
Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

*assume the pool is empty at the beginning

a) plug 3.25 into the equation and solve

h(3.25) = 600*3.25 = 1950 gallons

b) after 3.25 hours the total amount of water will be 1950 gallons

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Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

Then the first <em>even</em> number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

(2n)+(2n+2)=30

And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

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3 years ago
A line with a slope of -8/3
strojnjashka [21]

Answer:

y = - \frac{8}{3} x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = - \frac{8}{3} and crosses the y- axis at (0, 10 ) ⇒ c = 10

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a share of stock in the bree medical supply company is quoted at 35 1/4. suppose you hold 20 shares of that stock, which you bou
erica [24]
Total number of stocks bought = 20
Rate at which each stocks were bought = 31 1/2
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Rate at which 20 stocks were bought = 20 * (63/2) dollars
                                                             = 10 * 63 dollars
                                                             = 630 dollars
Rate at which each stocks were sold = 35 1/4
                                                             = 141/4 dollars
Rate at which 20 stocks were sold = 20 * (141/4) dollars
                                                         = 5 * 141 dollars
                                                         = 705 dollars
Then
Amount of profit made by selling 20 stocks = (705 - 630) dollars
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3 0
3 years ago
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cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be 8\times \$5=\$40

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Since the total cost of the trees including the delivery was $168, so we can get an equation as:

8t+40=168

8t+40-40=168-40

8t=128

Upon dividing both sides of our given equation by 8, we will get:

\frac{8t}{8}=\frac{128}{8}  

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the answer is D. 24, do to station 2

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