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-BARSIC- [3]
4 years ago
15

How many gallons of a 20% salt solution must be mixed with 4 gallons of a 30% salt solution to make a 25% salt solution?

Mathematics
1 answer:
denis-greek [22]4 years ago
6 0

Answer:

4 gallons

Step-by-step explanation:

Say that g = the number of gallons of a 20% salt solution,

The first thing we want to do here is to convert each " percentage " into decimal form, to make things a bit simpler here.

( 20(percent) = 0.20

( 30( percent ) = 0.30

( 25( percent ) = 0.25

Before this mixture takes place, the 20% salt solution is associated with g, the number of gallons of a 20% salt solution. Respectively the 30% salt solution is associated with 4 gallons. After mixing the two ( g and 4 ) the 25% salt solution should be associated with g + 4. We can therefore conclude the following equation -

0.20( g )+0.30( 4 ) = 0.25( g + 4 )

And now, let us solve for " g, "

0.2g + 1.2 = 0.25g + 1

- 0.2g       = - 0.2g

_________________

1.2 = 0.05g + 1

- 1  =          -  1

_________________

0.2 = 0.05g,

g = <u><em>4 gallons of a 20% salt solution</em></u>

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Sarah lives 3 9/10 miles from school. Her classmate, Roger, lives 1 mile from school. How much farther from school does Sarah li
Veseljchak [2.6K]

Answer:

2 9/10

Step-by-step explanation:

subtract the 1 mile from the 3 9/10 mile. kinda like 3-1 but then you put the other stuff on the end (9/10)

I'm pretty sure this is the correct answer

7 0
2 years ago
The product of nine and a number is added to six the result is 24 what is the number
Andru [333]
Hello!

We can make an equation based on what we know

The product of 9 and a number is

9 * x

Added to six

9 * x + 6

Gives the result of 24

9 * x + 6 = 24

Now you solve it algebraically

Subtract 6 from both sides

9 * x = 18

Divide both sides by 9

x = 2

The answer is 2

Hope this helps!
8 0
3 years ago
How old Steve will be in 2 years if k years ago he was w years old?
Basile [38]

Answer:

k + w + 2

I hope this helps!

5 0
3 years ago
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Richard makes 8 quarter-pound hamburgers on the grill. how many pounds of hamburger meat does he use?
Soloha48 [4]
Meat = 8 * 0.25 = 2 lb
8 0
3 years ago
The negative sign in 15t-2t belongs to the term____?
alexdok [17]

The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

            = 30 – 4

            = 26

2t – 15t = 2(2) – 15(2)

            = 4 – 30

            = –26

The values of the expressions are different when t = 2.

So, 15t – 2t is not equivalent to 2t – 15t.

Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

7 0
3 years ago
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