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marin [14]
3 years ago
6

Greg drew a scale drawing of a house. The hall closet is 2 inches wide in the drawing. The actual closet is 6 feet wide. What is

the drawing's scale factor?
Simplify your answer and write it as a fraction.
Mathematics
1 answer:
Vlad [161]3 years ago
4 0
The drawing's scale factor is 
Actual Dimensions:Drawing Measurements
= 36:1
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A 31​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third
Nostrana [21]

Answer:

The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

Step-by-step explanation:

Total length of the steel = 31 inches

Let the length of the first piece = x

let the length of the second piece = y

Let the length of the third piece = z

So,    

  y = 2x

  z = 4x + 3

x + 2x + 4x +3  = total length of the steel = 31

   7x + 3 + 31

    7x = 31 - 3

    7x = 28

    x= 4 inches

Thus; y = 2x = 2 × 4 = 8 inches

         z = 4x +3 = 4×4 +3 =19 inches

∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

6 0
3 years ago
Read 2 more answers
Which equation has a graph that passes through the points at (0,5) and (-3,-4)?
Roman55 [17]

Answer:

y = 3x + 5

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).  

Now, we know that the equation of a straight line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}.

So, in our case (x_{1},y_{1}) ≡ (0,5) and (x_{2},y_{2}) ≡ (-3,-4)

Therefore, the equation of the straight line will be  

\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}

⇒ y - 5 = \frac{9}{3}x

⇒y = 3x + 5 (Answer)

4 0
3 years ago
Help me find the answer!! 2-step equation
Vladimir79 [104]

\looparrowright \sf3\leqslant \dfrac{y}{ - 5}  + 7

\looparrowright \sf3 - 7\leqslant \dfrac{y}{ - 5}

\looparrowright \sf - 4\leqslant \dfrac{y}{ - 5}

\looparrowright \sf - 4 \times  - 5\leqslant {y}

\looparrowright \sf 20\leqslant {y}

8 0
2 years ago
The perimeter of a square room is 52 meters. What is the cost of tiling it at $5 per square meter?
Ludmilka [50]
First we have to find the area. To do that, we first have to find the side lengths of the square. Since a square has all four sides same length, we can find this by dividing: 52/4 = 13

Now we'll find the area in square meters: 13 * 13 = 169
So the area is 169 square meters.
So to find out how much that will cost, we will multiply the number of square meters by the amount it cost per square meter: 169 * $5 = $845

So it will cost $845
7 0
3 years ago
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3(x^2-1) + 4(x^2 - 3) = 13<br><br> solve for x
Mrrafil [7]

Answer:

x=2, x=-2

Step-by-step explanation:

3x²-3+4x²-12=13

7x²=13+12+3

7x²=28

x²=4

x=-2

x=2

4 0
2 years ago
Read 2 more answers
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