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2 years ago

9

A water tank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an a

verage rate of 450 gallons per day? Equation: y=mx+b

1 answer:

astraxan [27]2 years ago

5 0

It will take 13.33 days to fill it to 6,000 gallons.

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marusya05 [52]

Answer:

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Step-by-step explanation:

Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.

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2 years ago

Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

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2 years ago

a photographer is taking the 4th grade class picture. She stands on a ladder to get a better angle . From the top step of the la

Kruka [31]

Given:
a ladder with three steps.
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So, top step is 45°. Middle step is 30°. Bottom step is 15°. Ground is 0°

The photographer would shout on the bottom step at an angle of 15°.

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3 years ago

6+ (-x) + 2x + (-7) + 2x

sashaice [31]

Answer:

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Step-by-step explanation:

6 +(-x) +2x + (-7) + 2x=

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3 years ago

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Komok [63]

Answer: 7/2

Step-by-step explanation:

To find the ratio between the 2 numbers u have to divide the top numbers by the bottom numbers. 7/2 = 3.5 converted into a fraction is 7/2.

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