0.156x = 76.252 - x solve for x

Mathematics

1 answer:

Tomtit [17]3 years ago

5 0

Answer:

≈ 488.8

Step-by-step explanation:

So we wanna find x for 0.156x = 76.252;

What we have to do is to divide both sides of the equation by 0.156 to isolate the variable

If you are allowed to use a calculator then you can get the answer:

It equals around 488.8

If you want to solve it by hand, you can multiply both by 1000 to get:

76252 divided by 156.

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There is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200 milliliters of

oksian1 [2.3K]

Et x = the volume of the 3.5% solution
Let y = the volume 6% solution 

(3.5%)x + (6%)y = (4.5%)(200) 
0.035)x + 0.06y = 0.045(200) 
0.035x + 0.06y = 9 ( Equation 1 )

x + y = 200 ( Equation 2 )
x = 200 - y 

Substitute x = 200 - y into equation 1: 
0.035x + 0.06y = 9 
0.035(200 - y) + 0.06y = 9 
7 - 0.035y + 0.06y = 9 
0.06y - 0.035y = 9 - 7 
0.025y = 2 
y = 2/(0.025) 
y = 80 mL (the volume of 6% solution.)

Substitute y = 80 into equation 2: 
x + y = 200 
x + 80 = 200 
x = 200 - 80 
x = 120 mL (the volume of the 3.5% solution.)

Therefore, Mr. Larson should combine 120 mL of the 3.5% solution 
and 80 mL of the 6% solution to make 200 mL of 4.5% solution. 

Answer is 120 mL of the 3.5% solution & 80 mL of the 6% solution

Hope I helped :)

5 0

4 years ago

PLEASE ANSWER THIS ITS URGENT

Oksi-84 [34.3K]

Answer:

Option C

Explanation:

First, I plotted both the lines on the graph, then I graphed the inequality. Please check out image. Looking at the image, we can tell that the graph matches with Graph-C. Hence, Option C is correct.

Hoped this helped!