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S_A_V [24]
3 years ago
15

A roll of carpet that contains 150 yards of carpet will cover how many rooms if each room requires 12 and three fourths yards of

​ carpet?
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
Assuming that both measurements are the areas, you have 150yds^2 of carpet to cover y rooms with each room needing 12 3/4^2 of carpet.

(If it confuses you, ignore the ^2 because it helps me understand what I'm doing)

For me, it's easier to convert fractions to decimals. 12 3/4 = 12.75

So now you have this equation: 12.75 × y = 150

In algebra, you want to isolate the y, aka the unknown variable. To do so, you need to divide each side by 12.75.

12.75 × y = 150
------------ ------
12.75. 12.75

On the left, you can cross out the 12.75 because it's divided by itself, thereby making it 1. There's no need to have 1y, it's just y. On the other hand, you divide 150 by 12.75, which equals 11.7647059.

Now you might assume to round up this number, making it 12 rooms, but it simply doesn't work. You would have 11 complete rooms and one partially covered room. Therefore, your answer is y = 11 rooms.

Answer: You can cover 11 rooms.

Hope this helps, have a wonderful day. :)
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Answer:

9\pi

Step-by-step explanation:

r=3

Area of circle: \pir^{2}

8 0
2 years ago
A 4   cm × 6   cm 4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1f
Andreas93 [3]

Answer:

  1. Area of the rectangle: 24 cm²
  2. Area of the circle: 380.13 cm²
  3. Area of between the circle and the rectangle: 356.13 cm²

Explanation:

The question describes<em> a rectangle of dimensions  4 cm × 6 cm inscribed in a circle with radius 11 cm</em>.

You can find:

  • The area of the rectangle
  • The area of the circle
  • The area between the rectangle and the circle.

<u>1. Area of the rectangle:</u>

Area=length\times width=4cm\times 6cm=24cm^2

<u>2. Area of the circle:</u>

Area=\pi\times radius^2=\pi \times (11cm)^2\approx 380.13cm^2

<u>3. Area between the rectangle of the circle:</u>

This is the area of the circle that does not belong to (or is outside of) the area of the rectangle.

Area=\text{area of the circle - area of the rectangle}\\ \\ Area=380.13cm^2-24cm^2=356.13cm^2

8 0
3 years ago
Read 2 more answers
You receive X dollars an hour for babysitting you babysit three hours on Friday and five hours on Saturday you receive $40 for t
malfutka [58]

5 hours + 3 hours = 8 hours

8x = $40. Divide each side by 8.

x = $6.

You earn $6 / hour

6 0
3 years ago
An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​
tatyana61 [14]

Answer:

The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Step-by-step explanation:

Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​180,000 mosquitoes are in the city on May 12​, find how many mosquitoes will inhabit the city on May 25. Use y= 18​0,000(1.08)x where x is number of days since May 2.

The explanation to the answer is now given as follows:

Given;

y = 18​0,000(1.08)x = 18​0,000 * 1.08 * x .................... (1)

Where;

y = Number of mosquitoes that will inhabit the city on May 25 = ?

x = Number of days since May 2 = 25 - 2 = 23

Substituting for x = 23 into equation (1), we have:

y = 18​0,000 * 1.08 * 23

y = 4,471,200

Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

3 0
2 years ago
The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42<br> meters.
Olin [163]

The formula to find the perimeter of a rectangle is P= 2(l+w). By substituting what we now knowin to the equation:

•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s now 2/5 of the length. Now add them together to get a single coefficient for l.

•42= 2(7/5l). Multiplying 7/5 by 2.

42= (14/5l). Multiplying both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.

•l= 15.

Now that we now know the value of l, we know that the length is 15m. To find the width of the answer, we then multiply 15 by 2/5, which equals 6. Therefore, the only third option is correct because the length is 15m and the width is 6m.

3 0
3 years ago
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