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Anit [1.1K]
3 years ago
14

3.

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

a. 16 gallons

b. 32

Step-by-step explanation:

Let the full capacity of the tank is x gallons.

a. It is given that 12 gallons of water fill a tank to \frac{3}{4} capacity.

Hence, we can write \frac{3x}{4} = 12

⇒ x = \frac{4 \times 12}{3} = 16 gallons.

b. If the tank is filled to capacity, then there will be 16 gallons of water, with which \frac{16}{\frac{1}{2} } = 32 numbers of half-gallon bottles of be filled with water. (Answer)

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quester [9]
Use the box method.
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3 years ago
3.27x+1.28y+1.83x−2.77y
Firdavs [7]

Answer:

5.1x - 1.49y

Step-by-step explanation:

We need to add or substract like terms.

like terms are the terms that have the same variable, in this case:

3.27x and 1.83x are like terms, and adding them we get:

3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)

we do the same for the terms with 'y':

1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:

1.28y −2.77y = -1.49y

the final answer is the conjunction of the two results that we obtained:

5.1x - 1.49y

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6 0
2 years ago
Find two numbers if their ratio is 4:7 and their difference is 123.
belka [17]

Answer:

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

-287 = y

Now we need to find x

x = 123+y

x = 123+ -287

x = -164


The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

4 0
3 years ago
Read 2 more answers
$14 for a haircut plus a 15% tip anyone ???
Vlad [161]

Answer:

$16.10

Step-by-step explanation:

Simply take the original cost and multiply it by the percentage to get the tip amount then add it all together.

14 × 15% = 2.1

14 + 2.1 = 16.1

This means the haircut would cost a total of $16.10.

3 0
3 years ago
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