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2 years ago

PLEASE ANSWER QUICK Include explanation if you want Brainliest!

Mathematics

1 answer:

balandron [24]2 years ago

6 0

2w + 4 = 24
So... w = 10

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A sprinkler system uses 800 gallons of water in 5 days. How many gallons will the system use in a week?

emmainna [20.7K]

Yes 1,120 gallons per week (7 days)
Just divide 800 by 5 and see that the sprinkler system uses 160 gallons a day. Multiply 160 by 7 for the amount used a week and you will find that the answer is 1,120 gallons of water.

6 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

What is 2 x + 2y equals negative 6 coordinate

Andrews [41]

This is solved for all values of
y = -x-3. (Assuming you meant that 2x+2y=-6).

3 0

3 years ago

14. The circle graph shows the results of an employment survey of 800

MariettaO [177]

Answer:

480 people were unemployed full time

Step-by-step explanation:

First thing to do here is to check the percentage of people that were unemployed full time

Looking at the graph, this is equal to 60%

This means that 60% of the total 800 are unemployed full time

Mathematically, that would be 60/100 * 800 = 480 people

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3 years ago

A customer wants to book a room with a seaview.

Anika [276]

3/4 is the fraction

lol

7 0

2 years ago