MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand co

jok3333 [9.3K]

Answer:

76 mL of 8% and 304 mL of 13%

Step-by-step explanation:

Set up a table like this (this is the same table for any mixture problem):

mL total * % vinegar = % vinegar/mL

8%

13%

total %

What you do with this table is multiply the first 2 columns and they equal the last column. We already know the middle column's entries from what we are given. But remember that a percent needs to be expressed as a decimal:

mL total * % vinegar = % vinegar/mL

8% .08

13% .13

total %

Now we also know that the total he wants to make is 380 mL that is 12%, so all that info goes into the last row:

mL total * % vinegar = % vinegar/mL

8% .08

13% .13

total % 380 .12

If he wants this total mixture to come from the 8% and the 13% vinegars, he is mixing them together, or adding them. We need to know how much 8% + how much 13% will give us 380 mL of 12%. So we can fill in the amounts accordingly. If he has x mL of 8%, then he will have 380 - x of 13%. The table tells us that we are multiplying the first 2 columns to get the third, so we will do that at the same time:

mL total * % vinegar = % vinegar/mL

8% x * .08 = .08x

13% 380 - x * .13 = .13(380 - x)

total % 380 * .12 = 45.6

Since we are adding the different vinegars together to get the total, we can do that with the last column as well. This is our equation:

.08x + .13(380 - x) = 45.6 Multiply everything through by 100 to get rid of the decimals now:

8x + 13(380 - x) = 4560 and

8x + 4940 - 13x = 4560 and

-5x = -380 so

x = 76

This means that there is 76 mL of 8% and 380 - 76 = 304 mL of 13%

8 0

3 years ago

cora says she doesn't need to know the y-intercept of a line to write its equation, just its slope and some other point on the l

Nadusha1986 [10]

Answer:

The equation of line with given slope that include given points is 3 y + x - 20 = 0

Step-by-step explanation:

According to Cora , if we know the slope and points on a line then we can write the equation of a line .

Since , The equation of line in slope-intercept form is

y = m x + c

<u>Where m is the slope of line , and if we know the points ( x , y ) which satisfy the line then constant term c can be get and the equation of line can be formed .</u>

So , From the statement said above it is clear that she is correct .

Now , Again

Given as :

Slope of a line is m = - $\frac{1}{3}$