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Grace [21]
3 years ago
6

2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and a 4% acid solution. How many liters

of each solution should the chemist use? Write your answer as a complete sentence Be sure to: (a) Define your variable and expressions for the quantities. (b) Write an equation that models the problem. (c) Solve the equation. (d) State the answer in a complete sentence Please help and explain
Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0
( * = multiplication/multiply/times ) 
Let x - liters of 10% acid solution needed
4-x = liters of 4% acid solution needed

.1x + .04*(4-x)
-------------------- = .07
           4

.1x + .04*(4-x) = 4*.07
.1x + .16 - .04x = .28
.06x = .12
x=2
4-x=2

2 liters of 10% acid solution are needed
2 liters of 4% acid solution are needed

If you're still uncertain, we can check our work as so: 

.1x + .04*(4-x)
--------------------- = .07
            4

.1 * 2 + .04 * (4-2)
------------------------ = .07
             4

.2 + .08
------------ = .07
     4

.28 = .07 * 4
.28 = .28 

Hope I helped. 
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See the plot attached.

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4 0
4 years ago
The value of x in this system of equations is 1.
maria [59]

<em>Answer:</em>

<em>In my opinion the answer is </em><em><u>y = 6</u></em>

<em>Step-by-step explanation:</em>

<em>We have two unknowns from the equation therefore, two equations are needed. These equations are: </em>

<em> </em>

<em>3x + y = 9  </em>

<em>y = –4x +10  </em>

<em> </em>

<em>To solve for y, we first substitute the second equation to the first one. </em>

<em>3x + –4x +10= 9  </em>

<em>x = 1 </em>

<em> </em>

<em>We substitute the value of x to either of the equations and solve for y. </em>

<em> </em>

<em>y = –4(1) +10  </em>

<em>y = 6</em>

5 0
3 years ago
Read 2 more answers
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