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Sophie [7]
3 years ago
6

The Rumpart family is building a new room onto their house. The width of the new room will be 16 feet. The length of the room wi

ll be 4% greater than the width. Write an expression to find the length of the new room. What will be the area of this new room?
Mathematics
1 answer:
QveST [7]3 years ago
5 0

Answer:

\text{The length of new room}=16.64\text{ feet}

\text{Area of the new room}=266.24\text{ feet}^2

Step-by-step explanation:

We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.

The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.

\text{The length of new room}=16+(\frac{4}{100}*16)

\text{The length of new room}=16+(0.04*16)

\text{The length of new room}=16+0.64

\text{The length of new room}=16.64

Therefore, the expression 16+(0.04*16) represents the length of new room and the length of new room is 16.64 feet.

Since we know that area of a rectangular shape is width times length.

\text{Area of rectangle}=\text{Length*Width}

\text{Area of the new room}=16\text{ feet}\times 16.64\text{ feet}

\text{Area of the new room}=266.24\text{ feet}^2

Therefore, the area of the new room will be 266.24 square feet.

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Andrew is riding his bike. He biked a distance of 14 miles at a rate of 7 miles per hour. Using the distance formula, d = it, so
Assoli18 [71]

Answer:

120 minutes

Step-by-step explanation:

D=it 14/7 is 2, multiply 2 by 60 you get 120

5 0
3 years ago
(Please answer before 5:15 P.M tonight)
taurus [48]

The scale factor of dilation from ABC to A^{1} B^{1} C^{1} is 0.333.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle A^{1} B^{1} C^{1} are as follows;

A^{1} = (2, 3), B^{1} = (2, 1), and C^{1} = (3, 1).

The coordinates of triangle ABC are;

A = (4, 9), B = (4, 3), and C = (7, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of A^{1} B^{1} = 3-1=2, the distance of B^{1} C^{1} = 3-2=1.

The distance of AB =9-3=6, the distance of BC = 7-4=3.

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the AB.

So The scale factor for AB = \frac{2}{6} = \frac{1}{3} = 0.333.

The scale factor for BC = \frac{1}{3} = 0.333.

7 0
3 years ago
15 inches of snow fell in 12 hours. At this rate, how many inches of snow will fall in 3 days.
kirill [66]

Answer:

90 in

Step-by-step explanation:

15 x 6 = 90 in

This is because

6 x 12 hrs = 3 days

8 0
3 years ago
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Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
VikaD [51]

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
Look at the problems 2.3×3.68 and 23×368. How are they similar? Which problem has a greater product?
Margarita [4]

Here is your answer:

1. These equations are similar because they "both share the same numbers but one is a decimal and the other is a whole number."

2. You have to solve each equation in order to determine which number is greater:

  • 2.3\times 3.68
  • 2.3 \times 3.68 = 8.464
  • = 8.464

And:

  • 23 \times 368 =
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  • = 8464

Finally:

  • 8.464 < 8464

Therefore "8,464 is greater than 8.464."

Hope this helps!

3 0
3 years ago
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