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Tcecarenko [31]
3 years ago
5

Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip,

and each barrel holds 12 quarts of wastewater. How many days are between each pickup? Show your work to receive full credit. (10 points)
Mathematics
1 answer:
dalvyx [7]3 years ago
8 0
(1 h)/(11 qt) * (12 qt)/(1 barrel) * (120 barrels/pickup) * (1 day)/(24 h)
.. = 12*120/(11*24) day/pickup
.. = 5 5/11 days/pickup

120 barrels will be filled every 5 5/11 days. Some trips will be 5 days apart, some trips will be 6 days apart.
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5 0
3 years ago
. Center at (-4,-1), radius = 2​
valkas [14]

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

The equation of the circle.

Solution:

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=-4, k=-1 and r=2, we get

(x-(-4))^2+(y-(-1))^2=(2)^2

(x+4)^2+(y+1)^2=4

Therefore, the equation of the circle is (x+4)^2+(y+1)^2=4.

6 0
3 years ago
A recipe calls for 1 part beans to 1½ parts rice. if 1½ parts of beans are used, how much rice should be used?
riadik2000 [5.3K]
1 \text{ part beans} \longrightarrow  1\dfrac{1}{2}  \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  1\dfrac{1}{2}  \times 1 \dfrac{1}{2}  \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  \dfrac{3}{2}  \times \dfrac{3}{2}  \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  \dfrac{9}{4} \text{ parts rice}

1 \dfrac{1}{2}  \text{ part beans} \longrightarrow  2\dfrac{1}{4} \text{ parts rice}
8 0
3 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9;(-6,5)
STatiana [176]

The perpendicular equation is y = -3/2x - 4.

You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 2/3 we flip it and make it a negative and the new slope is -3/2. Now we can use that and the point to get the y intercept using slope intercept form.

y = mx + b

5 = (-3/2)(-6) + b

5 = 9 + b

-4 = b

And now we can use our new slope and new intercept to model the equation.

y = -3/2x - 4

7 0
3 years ago
Read 2 more answers
Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Ca
MakcuM [25]

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

4 0
3 years ago
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