Write an equation in slope-intercept form for the line that has the given slope and contains the point.

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:

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

We need to add around 1.14 liters

4 0

3 years ago

Read 2 more answers

Does anybody know this? I don't get it.

Tasya [4]

Answer:

scale factor = 1/2

Step-by-step explanation:

for AC: 4 + 4 = 8

8 is the AC of the red triangle

4 is the AC of the blue triangle

to get from 8 to 4, we divide by 2 or multiply by 1/2 (they mean the same thing)

10 is the CB of the red triangle

5 is the CB of the blue triangle

to get from 10 to 5, we divide by 2 or multiply by 1/2

6 0

3 years ago

What is 04.151515... into a fraction

Sergio039 [100]

Answer:

$\displaystyle 4.\overline{15} = \frac{137}{33}$ .

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

$4.151515\cdots = 4 + 0.151515\cdots$

The most challenging task here is to express $0.151515\cdots$ as a proper fraction. Once that fraction is found, expressing the original number $4.151515\cdots$ will be as simple as rewriting a mixed number as an improper fraction.

Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

$\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}$ .

Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)