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Pepsi [2]
3 years ago
6

The jogging track is of a mile long. If Ashley jogged around it 4 times, how far did she run?

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer: 4 miles

Step-by-step explanation:

If Ashley ran 1 mile 4 times, she ran 1+1+1+1, or 1*4, or 4 miles.

<em>Hope it helps <3</em>

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Step-by-step explanation:

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Find the volume of this object. Use 3 for pi. (CAN ANYONE HeLP:))
USPshnik [31]

Step-by-step explanation:

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3 years ago
Help please! I need to write 4y =-3x + 12 in standard form, find the y-intercept of the previous equation, as an ordered pair, a
damaskus [11]

Answer:

-3x+4y=12\\y-intercept: (0,3)\\x-intercept: (-4,0)

Step-by-step explanation:

The standard form of a linear equation is ax+by=c, where a , b, and c are constants in the equation.

Based on the equation you have provided, the standard form would be -3x+4y=12, where a=-3, b=4, c=12.

To find the y-intercept, set x=0.

-3(0)+4y=12\\0+4y=12\\4y=12\\y=\frac{12}{4} =3

Therefore, the y-intercept is (0,3).

Do the same thing for the x-intercept, but this time with y=0.

-3x+4(0)=12\\-3x+0=12\\-3x=12\\x=\frac{12}{-3} =-4

Therefore, the x-intercept is (-4,0).

5 0
3 years ago
In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat
makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

5 0
3 years ago
A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

8 0
3 years ago
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