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S_A_V [24]
3 years ago
9

The actual length (1) of a rectangle is 122 inches. Use the scale drawing of the rectangle to find the actual width (w).

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

B. 36 in.

Step-by-step explanation:

Length of the scale drawing (L) = 6.1 in.

Width of the scale drawing (W) = 1.8 in.

Actual length = 122 in.

Using the scale drawing we can apply the rules of three of proportions to find the actual width.

Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

\frac{6.1}{1.8} = \frac{122}{x}

Cross multiply

6.1*x = 122*1.8

Divide both sides by 6.1

x = \frac{122*1.8}{6.1}

x = 36

Actual width of the rectangle = 36 in.

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Which expression is equivalent to 6m+(m-2)(m+7)+3
Vika [28.1K]

Answer:

m^{2} + 11m - 11

Step-by-step explanation:

6m+(m-2)(m+7)+3  =   6m   +  [ m*m - 14 -2m + 7m]  + 3

=  6m  + mm - 14 + 5m  + 3

=  mm + 11m - 11

6m+(m-2)(m+7)+3   = m^{2} + 11m - 11

5 0
3 years ago
Four time a number r plus half a number s equals 12. Twice the number r plus one fourth of the numbers s equals 8. What are the
Snezhnost [94]

The system of equations have no solution.

Explanation:

The equations are 4r+\frac{1}{2}s=12 and 2r+\frac{1}{4} s=8

To find the two numbers, let us solve the equations using substitution method.

From the equation 2r+\frac{1}{4} s=8, let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in 4r+\frac{1}{2}s=12, we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

6 0
3 years ago
Select all of the linear transformations from R3 to R3 that are invertible. A. Projection onto the xy-plane B. Reflection in the
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Answer: . Rotation about the y-axis by π

Step-by-step explanation:

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3 years ago
(a)
mamaluj [8]

Answer:

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the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0
3 years ago
Find minimum value for the perimeter of the rectangle.​
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Answer:

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3 and 20

5 and 18

15 and 6

10 and 9  

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answer to this question is  15 and 6

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