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zhuklara [117]
2 years ago
4

Point (k, -2) lies on the line whose equation is x-3 y=7. What is the value of k?

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

Answer:

k =1

Step-by-step explanation:

x-3y = 7

Let y = -2  since we have the point (k, -2)

x -3(-2) =7

x+6 =7

Subtract 6 from each side

x+6-6=7-6

x =1

The point is (1,-2)

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A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space in
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Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

8 0
2 years ago
Translate the sentence into an equation. Use n for the number.
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Answer:

x-3 =27

Step-by-step explanation:

4 0
1 year ago
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What is the volume of the composite figure?
m_a_m_a [10]
We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
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the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h  and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³

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5 0
2 years ago
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Imagine you are the commissioner of a fantasy football league with 16 teams. you are in charge of dividing the 16 teams into 4 d
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2 years ago
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the
marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

                                    = $ 4.5

Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

                                                                       = $ 10.5

Hence proved





5 0
2 years ago
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