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pychu [463]
3 years ago
15

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

Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
ive forgotten the method
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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}

That include points ( 2 , 6 )

Now from the equation of line as  y = m x + c

∴   6 =  - \frac{1}{3} ( 2 ) + c

Or, 6 =  - \frac{2}{3}  + c

So , c = 6 + \frac{2}{3}

or,  c = \frac{18 + 2}{3}

∴   c = \frac{20}{3}

So, The equation of line can be written as

 y =   - \frac{1}{3} x + \frac{20}{3}

Or, 3 y = - x + 20

I.e  3 y + x - 20 = 0

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

8 0
3 years ago
4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
satela [25.4K]

Answer:

$42

Step-by-step explanation:

Equation: y = 6x

x = number of ice cream cones

y = 6(7) = 42

5 0
3 years ago
Read 2 more answers
Don’t mind the already answered questions, I need to know the answer for the table, please.
Angelina_Jolie [31]
What does the rest of the question say??
4 0
3 years ago
Simplify 2+16x-9-10x
Brut [27]

Answer:

6x -7 is your answer

Step-by-step explanation:

3 0
3 years ago
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