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lesya692 [45]
3 years ago
9

Please explain how to do this

Mathematics
1 answer:
34kurt3 years ago
7 0
Ratios can be used to convert units of measurement since you can set up a proportion to convert a measurement to another unit. An example would be converting 14 pints to quarts, which can be solved using your knowledge that 1 quart is equal to 2 pints. If it were to be set up as a proportion, it would look like this: 2/1=14/x
If it were to be represented by a ratio, the ratio of pints to quarts would be represented like this: 2:1, which can be used to help convert 14 pints to quarts.
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diamong [38]

1 minute = 10gal

60minutes = 10×60 gal.

1 hour = 600 gallons

Happy to help!Please tell me if you understand!

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3 years ago
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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
Factorize 8(a+b)^2-6(a+b)-9​
MAVERICK [17]

Answer:

(

4

a

+

4

b

+

3

)

(

2

a

+

2

b

−

3

)

Step-by-step explanation:

5 0
3 years ago
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Dovator [93]

Answer:

-20x+30

Step-by-step explanation:

Here ya go. Hope I helped

6 0
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