choose the equation below that represents the line passing through the point (2,-4) with a slope of 1/2

1 answer:

8 0

In order to find this, you use the y=mx+b formula. Your are given the slope so you know that you can say y=1/2x+b. Now you plug in the point (2,-4). The problem would be -4=1/2(2)+b. When you solve it, you get -5=b. Therefore, the equation is: y=1/2x-5

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how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%

mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

$\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14$