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MakcuM [25]
3 years ago
15

The drawing plan for an art studio shows a rectangle that is 13.2 inches by 6 inches. The scale in the plan is 3 in 5 ft. Find t

he length and width of the actual studio. Then find the area of the actual studio
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

Actual length = 22 feet

Actual width = 10 feet

Actual area = 220 sq. feet.

Step-by-step explanation:

The scale in the drawing plan is 3 inches : 5 feet.

So, it interprets that the original length of 5 feet is drawn in the drawing plan of 3 inches length.

Therefore, 13.2 inches length of the drawing is equivalent to \frac{5}{3}\times 13.2 = 22 feet in the original length. (Answer)

And, the 6 inches width of the drawing is equivalent to \frac{5}{3} \times 6 = 10 feet in the original width. (Answer)

Now, the area of the actual studio will be (22 × 10) = 220 sq. feet. (Answer)

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If x+y=9, and 8(x+3y)= 120, what is the value of x-y
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Answer:

3

Explanation:

Apply Multiplicative Distribution Law:

{x + y =9

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Reduce the greatest common factor on both sides of the equation.

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Subtract the two equations: x + y - (x +3y) = 9 - 15

Remove paranthesis: x + y - x - 3y = 9 - 15

Cancel the unknown variables: y - 3y = 9 - 15

Combine like terms: -2y=9 - 15

Calculate the sum or difference: -2y = -6

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Substitute one unknown quantity into the elimination: x + 3 = 9

Rearrange unknown terms to the left side of the equation: x = 9 - 3

Calculate the sum or difference: x = 6

Write the solution set of equations: {x = 6

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Calculate the sum or difference: 3

Answer: 3

6 0
2 years ago
Find the area of this shape below
rjkz [21]

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Step-by-step explanation:

2 × 8 = 16

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6 0
3 years ago
Do anyone know how to solve this? need the answer fast.
Nikitich [7]
The value of g^-1(-3) is the value of x that makes g(x) = -3. To find it, we can solve
.. (x +4)/(2x -5) = -3
.. x +4 = -3(2x -5)
.. 7x = 11
.. x = 11/7

The desired value is
.. (3/11)*g^-1(-3)
.. = (3/11)*(11/7)
.. = 3/7

\frac{3}{11} g^{-1}(-3) = \frac{3}{7}
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iragen [17]
10x^3-15x^2+7x+32^{}=0

we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor

is a factor because the remainder is 0

so the new form of the equation is

(x+1)(10x^2-25x+32)

5 0
1 year ago
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