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Gnesinka [82]
2 years ago
9

Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have t

o be twice as long as the second ramp? Explain.
Mathematics
1 answer:
sesenic [268]2 years ago
6 0
Yes, because slope is the steepness of a line. if the steepness of those two lines are the same, you will have to expand the x-axis (the length of the first ramp).
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slega [8]

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7 0
3 years ago
Solve for x. 12(x+11) = 24
Mars2501 [29]

Answer:

x = -9

Step-by-step explanation:

First, divide both sides by 12 to isolate the expression, x + 11

12(x + 11)/12 = 24/12

x + 11 = 2

Then, subtract 11 from both sides

x + 11 = 2

  - 11  - 11

x = -9

4 0
3 years ago
Read 2 more answers
Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Alik [6]

Answer: $2.08

Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)

=2.08

8 0
1 year ago
Solve the following system of equations for all three variables.
GrogVix [38]

Answer:

(x,y,z) -> (2,4,1)

Step-by-step explanation:

-7x + y + z = -9

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

Pick two pairs:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

and

-7x + y + z = -9

-7x + 5y - 9z = -3

Eliminate the same variable from each system:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

+ 5y - 9z = -3

- 6y + 4z = -6

<u><em>-1y - 5z = - 9</em></u>

-7x + y + z = -9

-7x + 5y - 9z = -3

-7x + y + z = -9

7x - 5y + 9z = 3

<u><em>-4y - 10z = -6</em></u>

Solve the system of the two new equations:

-1y - 5z = - 9           ->      -4 ( -1y - 5z = - 9)     ->   4y + 20z = 36  

-4y - 10z = -6          ->           -4y - 10z = -6      ->   -4y - 10z = -6

10z = 30

Thus, z = 3

-4y - 10z = -6

-4y - 10(3) = -6

-4y - 30 = -6

-4y = 24

Thus, y = -6

Substitute into one of the original equations:

-7x + y + z = -9

-7x + (-6) + (3) = -9

7x + -3  = -9

7x  = -6

x =

4 0
3 years ago
For Sunday's brunch, Alexis is making a recipe that requires 8 cups of milk. She has 3 quarts of milk. Does she have enough for
babunello [35]

Answer:

yes

Step-by-step explanation:

she needs 8 cups and 3 quarts is 12 cups

3 0
3 years ago
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