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slava [35]
3 years ago
13

a water pail in your backyard has a small hole in it you notice that it has a Drained a total of 3.5 L in 4 days what is the ave

rage change in water volume each day
Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

For this case we have the following data:

Drained 3.5 Liters in 4 days. If we want to know the volume of water per day, we make a rule of three:

3.5 Liters -----> 4days

x Liters --------> 1 day

Where x represents the amount of water drained each day.

So, we have to:

x =\frac{(1 * 3.5)}{4}

x = 0.875 Liters  per day

So, the average change in water volume each day is:x = 0.875 Liters  per day

Answer:

x = 0.875Liters per day


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Why is 7/12 greater than 1/3 but less than 2/3
Leno4ka [110]
Because 1/3 = 4/12 so 7/12 is greater and 2/3 = 8/12 so it is greater than 7/12
8 0
3 years ago
What is the solution to the system of equations? {x+2y=10y=12x+3
Marianna [84]

The solution to given system of equations are (x,y) = (\frac{4}{25} , \frac{123}{25})

<em><u>Solution:</u></em>

Given that we have to find solution to the system of equations

<em><u>Given equations are:</u></em>

x + 2y = 10  ------ eqn 1

y = 12x + 3 ------ eqn 2

We can solve the above equations by substitution method

<em><u>Substitute eqn 2 in eqn 1</u></em>

x + 2(12x + 3) = 10

x + 24x + 6 = 10

25x = 10 - 6

25x = 4

x = \frac{4}{25}

<em><u>Substitute the above value of x in eqn 2</u></em>

y = 12(\frac{4}{25}) + 3\\\\y = \frac{48}{25} + 3\\\\y = \frac{48+75}{25}\\\\y = \frac{123}{25}

Thus the solution to given system of equations are (x,y) = (\frac{4}{25} , \frac{123}{25})

5 0
3 years ago
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
How to rewrite the sum of 96 80 using distributive property?
elena-14-01-66 [18.8K]
96+80= (100-4)+(100-20)
= 200-24
=174
4 0
2 years ago
Marco's polo team has a budget for new uniforms of $250. If there are 12 members of the team, what can Marco spend on uniforms.
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Your answer is going to be A
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2 years ago
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