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arlik [135]
3 years ago
5

What is the value of x for 7x - 12 y = 180 / 7x = 84

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

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a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made
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Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of  box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0
2 years ago
What's the slope of the line passing through the points -1, 8 - 7, 3​
tatuchka [14]

Answer:

slope = 5/6

Step-by-step explanation:

Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.

Point 1: (-1, 8)

Point 2: (-7, 3)

y₁ - y₂ = m(x₁ - x₂)                          <----- Original formula

8 - y₂ = m(-1 - x₂)                           <----- Plug in "x" and "y" values from Point 1

8 - 3 = m(-1 - (-7))                           <----- Plug in "x" and "y" values from Point 2

5 = m(-1 - (-7))                                <----- Simplify left side

5 = m(6)                                        <----- Simplify inside parentheses

5/6 = m                                       <----- Divide both sides by 6

5 0
2 years ago
If all the values in a set of data are the same, which of the following is true? (Check all that apply.) The range is zero. The
Anestetic [448]
The median and mode are the same. The low and high values are the same.
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3 years ago
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A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The G
s344n2d4d5 [400]

Answer:

900 large boxes were sold, and 750 small boxes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of large boxes of cookies sold.

y is the number of small boxes of cookies sold.

A total of 1,650 boxes of Girl Scout cookies were sold last week.

This means that

x + y = 1650

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Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.

This means that

3.5x + 2y = 4650

Since x = 1650 - y

3.5(1650 - y) + 2y = 4650

5775 - 3.5y + 2y = 4650

1.5y = 1125

y = \frac{1125}{1.5}

y = 750

x = 1650 - y = 1650 - 750 = 900

900 large boxes were sold, and 750 small boxes.

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