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noname [10]
3 years ago
10

Rachel Rose 3.2 miles each weekday and 1.5 miles each day of weekend. how many miles will she have run in 6 weeks.

Mathematics
1 answer:
faltersainse [42]3 years ago
5 0
Easiest way is to find out first how many she runs in a week. For that you can multiply the number of hours she runs a weekday by 5. (3.2*5) That should be 16. Now, since you want to know how many miles she will run in a span of 6 weeks you must multiply it by 6 now. That is 96. Since you know that, let's move on to the weekends. It is 1.5 per weekend day or 3 per weekend. Now you have to multiply 3 by 6 because you want to know for six weeks. Since you have both your numbers now, 18 and 96, you can add them to make a final of 114.
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dybincka [34]
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4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Oksanka [162]

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

x - y = 25

2x + 3y = 180  

(2)

2x - 3y = -5

11x + y = 550  

(3)

x - y = 19

-12x + y = 168

Solutions

(-17,-36)

(47, 33)

(51, 26)

Required

Match equations with solutions

(1) x - y = 25 and 2x + 3y = 180

Make x the subject in: x - y = 25

x = 25 + y

Substitute x = 25 + y in 2x + 3y = 180

2(25 + y) + 3y = 180

50 + 2y + 3y = 180

50 + 5y = 180

Collect like terms

5y = 180-50

5y = 130

Solve for y

y =26

Recall that: x = 25 + y

x = 25 + 26

x = 51

So:

(x,y) = (51,26)

(2)  2x - 3y = -5 and 11x + y = 550

Make y the subject in 11x + y = 550

y = 550 - 11x

Substitute y = 550 - 11x in 2x - 3y = -5

2x - 3(550 - 11x) = -5

2x - 1650 + 33x = -5

Collect like terms

2x  + 33x = -5+1650

35x = 1645

Solve for x

x = 47

Solve for y in y = 550 - 11x

y = 550 - 11 * 47

y = 550 - 517

y = 33

So:

(x,y) = (47,33)

(3)

x - y = 19  and -12x + y = 168

Make y the subject in -12x + y = 168

y = 168 + 12x

Substitute y = 168 + 12x in x - y = 19

x - 168 - 12x = 19

Collect like terms

x -12x = 168 + 19

-11x = 187

Solve for x

x = -17

Solve for y in y = 168 + 12x

y =168-12 *17

y =-36

So:

(x,y) = (-17,-36)

4 0
2 years ago
Which of the following is a function?
seropon [69]

Answer:

C

Step-by-step explanation:

For any of the functions described above, the only way any of those could be functions is that there has to be a difference value for each x, unless it is the same x-value. If the x is mentioned twice, that is fine, as long as the y point is also the same. If it is different, it is not a function.

7 0
2 years ago
The quantity of the square of the sum of 4 times<br> x and 3, divided by the difference of x and 10
tatuchka [14]

Answer:

Step-by-step explanation:

(4x+3)²÷(x-10)

=(16x²+24x+9)÷(x-10)

x-10) 16x²+24x+9 (16x+184

       16x²-160x

       -      +

   ------------------

               184x+9

               184x-1840

              -      +

             ----------------

                       1849

              ----------------

       

4 0
3 years ago
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Genrish500 [490]
It will graph a straight horizontal line at -1
4 0
2 years ago
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