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ira [324]
3 years ago
15

HELP COLLEGE ALGEBRA

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

Answer:

1) \frac{-8}{11}  

2) 1.276

3) \frac{3}{4}

4) 0

Step-by-step explanation:

The slope formula of the line that pass across two points P1(x1,y1) and P2(x2,y2) is:

\frac{y2 - y1}{x2-x1} = slope

You can use this formula to solve all the four points:

1)

\frac{6- -2}{-9 - 2} = \frac{-8}{11}

2)

\frac{- 9.1 - 0.6}{-9.5 - - 1.9} = \frac{97}{76} =(Rounded)= 1.276

3)

\frac{2-5}{-2 -2} = \frac{3}{4}

4)

\frac{4-4}{-9 --4} = \frac{0}{-5} = 0 \\\\

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y = 2x + 6

So you'd graph y = 2x + 6

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Hope this helped!

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3 years ago
A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far d
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divide total miles by total time:

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19/5 to mixed number
Liono4ka [1.6K]

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3 4/5

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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%

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