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zheka24 [161]
3 years ago
8

What is y= -2/5x-2 y=-4

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Answer:

y=−4 and x=5

Step-by-step explanation:

y=−4;y=(

(−2)

5

)(x)−2

Step: Solvey=−4for y:

Step: Substitute−4foryiny=

−2

5

x−2:

y=

−2

5

x−2

−4=

−2

5

x−2

−4+

2

5

x=

−2

5

x−2+

2

5

x(Add 2/5x to both sides)

2

5

x−4=−2

2

5

x−4+4=−2+4(Add 4 to both sides)

2

5

x=2

2

5

x

2

5

=

2

2

5

(Divide both sides by 2/5)

x=5

Answer:

y=−4 and x=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

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x = 76

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

8 0
3 years ago
Find the distance between the points ( 19 , 16 ) and ( − 13, 10 )
Inessa [10]

Answer:

\sqrt{1060}=32.55..... or 32.6

Step-by-step explanation:

\sqrt{(-13-19)^2+(10-16)^2}

\sqrt{(-32)^2+(-6)^2}

\sqrt{1024+36}

\sqrt{1060}=32.55..... or 32.6

hope this helps

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Answer:

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An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

let x=0, 

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

6 0
3 years ago
What is the greatest common factor c^2d^2​
Brums [2.3K]

Answer:

1

Step-by-step explanation:

Since there are no common prime factors, the only common factor for c²d² is 1, therfore it stays as is, c²d².

I am joyous to assist you anytime.

8 0
3 years ago
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