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arlik [135]
3 years ago
7

If a gal of water is used to dilute 7 ‡ gal of juice, how many gallons of liquid are in the mixture?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

We want to see<u> how many gallons</u> of liquid we will have in the given mixture. We will find that there are 8 gallons of liquid in the mixture.

<h3>Adding two volumes:</h3>

In this problem, we create a mixture of 1 gallon of water with 7 gallons of juice.

Notice that gallon is a unit of volume, an extensive property (which means that if we add two things with volumes V1 and V2, the final volume is V = V1 + V2)

Then in this case the final volume of the mixture is just:

V = 1 gal + 7 gal = 8 gal

We will have 8 gallons of the mixture.

If you want to learn more about volumes, you can read:

brainly.com/question/1972490

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Use a proportion to find the length of side x for the pair of similar figures
kogti [31]

Answer:

30.8

Step-by-step explanation:

1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.

2. Set the ratios equal to each other.

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3. Cross multiply and solve for x.

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4. Divide by 10

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6 0
3 years ago
Use the equation and type the ordered-pairs.
bulgar [2K]

Given the equation

y= \[log_2(x)\]

{(1/2,?), (1, ?), (2, ?), (4,?), (8,?), (16, ?)}

Lets start with (1/2, ?)

Ordered pair is (x,y)

In (1/2, ?) , x=1/2 and we need to find out y

y= \[log_2(x)\]

Plug in 1/2 for x, y= \[log_2(1/2)\] = \frac{log(1/2)}{log2} = -1

we do the same for all ordered pairs

(1, ?)

Plug in 1 for x, y= \[log_2(1)\] = \frac{log(1)}{log2} = 0

(2, ?)

Plug in 2 for x, y= \[log_2(2)\] = \frac{log(2)}{log2} = 1

(4, ?)

Plug in 4 for x, y= \[log_2(1)\] = \frac{log(4)}{log2} = 2

(8, ?)

Plug in 8 for x, y= \[log_2(8)\] = \frac{log(8)}{log2} = 3

(16, ?)

Plug in 16 for x, y= \[log_2(16)\] = \frac{log(16)}{log2} = 4

Ordered pairs are

{(1/2,-1), (1, 0), (2, 1), (4,2), (8,3), (16, 4)}

5 0
3 years ago
Liz saved 15% on the jean's<br> she bought! What lowest<br> terms fraction is equal<br> to 15% ?
aniked [119]

Answer:

\frac{3}{20}

Step-by-step explanation:

Well you can represent percentages as decimals, by dividing the percentage by 100. This gives us the fraction: \frac{15}{100}

We can simplify the fraction, by dividing both the numerator and denominator by 5

\frac{15}{100}=\frac{15\div5}{100\div5}=\frac{3}{20}

5 0
2 years ago
Find the value of x for the given value of y.<br><br> y=x4−7; y=2
AlexFokin [52]

y=x4−7; y=2

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2+4x-7

4x-7=2  get the variable alone by doing the same thing to both sides

4x=9

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y=9/4

x=9/4


5 0
3 years ago
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Answer:

25.7 miles apart

Step-by-step explanation:

this may not be right, if its not im sory

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