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Vera_Pavlovna [14]
3 years ago
12

How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?

Mathematics
2 answers:
AlexFokin [52]3 years ago
5 0
Let x=amount of water added.

let 3+x=amount of alcohol and water in 15% solution.

Let 3 gallons of alcohol=percentage of alcohol*volume of solution

3=0.15*(3 + x)

3=0.45 + 0.15x

2.55=0.15x

2.55/0.15=x or 17 gallons of water added=x
mash [69]3 years ago
3 0

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

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At the beginning of year 6, that means 5 years only have elapsed, thus t = 5.

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4 years ago
Please Help Me :(​ I will mark brainlist too
kolbaska11 [484]

Answer:

The fan = x = 400

The heater = y = 3600

Step-by-step explanation:

Let the cost price of

The fan = x

The heater = y

Aaya bought a fan and a heater for Rs 4,000.

x + y = 4000

x = 4000 - y

He sold the fan at a profit of 25%

25% × x = 0.25x

And the heater at a loss of 5%.

5% × x = 0.05y

If he gained 7% on his total outlay, at

Hence:

0.25x + 0.05y = 7% × 4,000

0.25x + 0.05y = 280

Note:

x = 4000 - y

Hence:

0.25(4000 - y) + 0.05y = 280

1000 - 0.25y + 0.05y = 280

Collect like terms

-0.25y + 0.05y = 280 - 1000

-0.20y = -720

y = -720/0.20

y = 3600

x = 4000 - y

x = 4000 - 3600

x = 400

Hence, the price that he bought each item is given as:

The fan = x = 400

The heater = y = 3600

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3 years ago
At the beginning of the summer, Paul has $76. During the summer, he earns money by mowing lawns. The table shows the total amoun
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3 years ago
If the vault of y varies directly with x and y =-8 when x=4 find y when x =-4
Aloiza [94]

Solution;

\begin{gathered} y\propto x \\ y=kx \end{gathered}\begin{gathered} When\text{ y=-8 and x=4;} \\ -8=4k \\ k=-\frac{8}{4}=-2 \end{gathered}\begin{gathered} When\text{ x=-4, y=?} \\ y=-2(-4) \\ y=8 \end{gathered}

Answer;

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8 0
1 year ago
The volume of a cube is 3375 cubic inches. what is the measure of each side of the cube
OlgaM077 [116]

Answer:

The measure of each side of the cube is

<h2>15 inches</h2>

Step-by-step explanation:

Since it's a cube all it's sides are equal

To find the length of each side we use the formula

Volume of a cube = l³

where l is the measure of one side

From the question

Volume = 3375 cubic inches

Substitute this value into the formula and solve for l

That's

<h3>{l}^{3}  = 3375</h3>

Find the cube root of both sides

That's

<h3>\sqrt[3]{ {l}^{3} }  =  \sqrt[3]{3375}</h3>

We have the final answer as

<h3>l = 15 inches</h3>

Hope this helps you

6 0
4 years ago
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