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skelet666 [1.2K]
3 years ago
7

F(x)=-3x+21,find x when f(x)=6

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

F(x)=-3x+21,

f(x)=6 = -3x+21

6 = -3x+21

Subtract 21 from each side

6-21 = -3x+21-21

-15 = -3x

Divide each side by -3

-15/-3 = -3x/-3

5 = x

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A chemist is mixing 45% salt solution with a 30% salt solution to make 60 L of a new solution that will contain 40% salt. How mu
Alinara [238K]

Answer:

30 ml of 45% salt solution and 20 ml of 30% salt solution.

Step-by-step explanation:

Let x be the amount of 45% salt solution and y be the amount of 30% salt solution

the two equation will be:

x+y=60 -- A

0.45x+0.3y=0.4(60) -- B

Solve by substitution

Rewrite Equation A

x+y=60

x=60-y --- C

Substitute C into B

0.45(60-y)+0.3y=24

 27-0.45y+0.3y=24

                -0.15y=-3

                        y=20

<u>Substitute</u> the y=20 into equation C

x=60-20

x=30

Therefore, there was 30 ml of 45% salt solution and 20 ml of 30% salt solution.

3 0
3 years ago
A farmer owns about 960 acres of land. If his farm is square, what would be the length of each side in miles, to the nearest ten
OLEGan [10]

It is given in the question that

A farmer owns about 960 acres of land. If his farm is square.

First we convert acres to miles square, and the conversion expression is

1 acre=0.0015625 mi^2

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Let the side length of the square be x miles .

And the formula of area of square is

Area=side^2&#10;\\&#10;1.5=side^2&#10;\\&#10;side= \sqrt{1.5}=1.2 miles

5 0
3 years ago
What is less 2 over 5 or 7 over 15
Veseljchak [2.6K]

Answer:

2 over 5

Step-by-step explanation:

What you need to do is find a common denominator.  In this case it is 15. 2 over 5 = 6 over 15 so since 6/15 < 7/15 and 6/15= 2/5,  2/5 < 7/15

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3 years ago
If LM=7 and EF+LM=NP then ___ =Np
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I think that it would equal 14.
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