A rectangular carpet measures 12 m by 5 m.
Part of the carpet is covered by a square rug of length 2 m.
What fraction of the carpet is covered by the rug? Give your answer in its simplest form.
Answers
I'm pretty sure the answer is 1/15 or 4/60 because the whole carpet measures 60m and the covered part's area is 4m and that would be 4/60 but simplified 1/15. Sorry if this is wrong!
To find the fraction of the carpet covered by the rug, we need to determine the area of the rug and divide it by the total area of the carpet.
The area of the square rug can be calculated by squaring its side length: 2m x 2m = 4m². The total area of the rectangular carpet can be found by multiplying its length and width: [tex]12m x 5m = 60m²[/tex]. To find the fraction, divide the area of the rug by the area of the carpet: 4m² / 60m².
To simplify the fraction, we can find the greatest common divisor (GCD) of 4 and 60, which is 4. Dividing both the numerator and denominator by the GCD, we get: [tex]4m² ÷ 4 / 60m² ÷ 4 = 1m² / 15m²[/tex] . Therefore, the fraction of the carpet covered by the rug is 1/15, which means that 1/15th of the carpet is covered by the rug.
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Related Questions
What does 3x(5)+(-5) equal
Answers
Hope this helps
HELP PLease! 40 points!!!!
Answers
Answer:
D. 480 ftStep-by-step explanation:
Let the sides of triangle be a, b and c
Perimeter
P = a + b+ c = 40New sides
12a, 12b and 12cNew perimeter
Pn = 12a + 12b + 12c = 12(a+b+c) = 12*40 = 480 ftCorrect choice is D
help i will mark brainlist if i cannn
Answers
Answer:
B
Step-by-step explanation:
Answer:
a. 1 and 1/4.
Step-by-step explanation:
I simplified it.
Please mark me brainliest!
It's due in like 10 minutes please help me out
Answers
Answer:
it should be x=4
Step-by-step explanation:
The line that is perpendicular to
y
=
−
3
is a horizontal line, because horizontal and vertical lines (
x
- and
y
- axes for example) are perpendicular. Therefore, this line will take the form
x
=
n
where
n
is the
x
-coordinate of the point passed through. The
x
-coordinate of the given ordered pair
(
4
,
−
6
)
is
4
, so the equation must be
x
=
4
what is next in the sequence ? 17, 13, 9, 5
Answers
Answer:
1
Step-by-step explanation:
It is being subtracted by four everytime
Write an equation in slope intercept form using the information below.
Answers
We want the equation in the form y = mx + b.
We are given that m = -7.
The y-intercept (our b) is 8.
Here it is:
y = -7x + 8
Describe a situation in which you could use scaling to solve a real-world problem.
Please help due at 11:59 !! I'll mark brainlest !
Answers
Answer:
You want to know how much lager a full sized candy bar is to see if you are getting a good price.
Step-by-step explanation:
Jose has $4. His mom gives him $2 each time he does his homework. He is saving up to
buy a game that costs $68. How many times does he have to complete his homework in
order to reach this goal?
Answers
equation form:
(68-4)/2=32
someone help me find x please!
Answers
At Priscilla's Purse Warehouse, it takes 2 over 3 of a day to complete 1 over 9 of an order of purses. At this rate, how long will it take to complete the entire order of purses?
3 and 2 over 3 days
5 days
6 days
13 and 1 over 2 days
Answers
2/3 of a day = 1 purse
2/3 ×9 = or 2×9/ 3 =
= 18/3 = 18÷3 = 6
It will take 6 days to complete the entire order of purses
Answer:
6 days I do math yes yes
Find the slope of the question y=5
Answers
Answer:
0,5
Step-by-step explanation:
slope: 0
y-intercept:(0,5)
I need help with this
Answers
Answer:
A. 63 degrees
Step-by-step explanation:
Since the triangles are congruent so are the angles and the angle C is the same as angle F as stated by the question so they have the same angle measurement, therefore your answer is 63 degrees.
a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share. what is the percent loss?
Answers
Answer:
60%
Step-by-step explanation:
its right
If a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a company’s stock was selling at 35$ a share.
After a month later it was selling at 14$ a share.
We need to find the percent of loss.
Original share price=35
new share price=14
We calculate the percentage by finding the difference and dividing the difference with the original share price.
35-14/35
0.6
Now multiply this 0.6 with 100 as it is a hundredth part.
0.6×100
60%
Hence, if a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.
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Find the slope of the line without graphing using the 2 points below.
(-2 , 1) & (-5 , 5)
m=____
Answers
Answer:
-4/3
Step-by-step explanation:
m = slope = (difference in y)/(difference in x)
m = (y2 - y1)/(x2 - x1)
m = (5 - 1)/(-5 - (-2))
m = 4/(-5 + 2)
m = -4/3
3x²+2x²+x-2 divided x+2
Answers
Answer:
3x^2-4x+9 remainder -20/x+2
Step-by-step explanation:
PLEASE HELP MEEEEEEE
Answers
Answer:
triangle BFD
75 degrees
Help please if you can
Answers
Answer: mutiply x by itself to get y
Step-by-step explanation:
A 50-foot flagpole near an office building casts a shadow
that is 12.5 feet long. At the same time, the office building
casts a shadow that is 50 feet long. How tall is the office
building?
Answers
Step-by-step explanation:
Here are some hints: "At the same time,"means you need to set up a proportion (two ratios equal each other).
The shadow is always on the ground.
A person and a flagpole always stands up straight, like a wall (vertical height)
Underline key words and numbers. Draw a picture for sure.
|
|X 5.5 ft. |
|____________ |____
flagpole=50 feet person's shadow=4 feet
shadow
Since it is easier to work with one type of measurement, change the person's height to feet only. The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet
Calculate the volume of this regular solid.
B
What is the volume of the cylinder?
Use the n button on your calculator to complete this
problem
Round at the end to the nearest hundredth.
cm
13 cm
4 cm
Answers
Answer:
653.45 cm³
Step-by-step explanation:
The diagram of the cylinder is shown in the attachment.
Radius of cylinder (r) = 4 cm
Height of cylinder (h) = 13 cm
Volume of a cylinder = πr²h
Plug in the values
Volume = π × 4² × 13
Volume = π × 208
Volume = 653.45 cm³ (nearest hundredth)
Answer: 653.45
Step-by-step explanation:
it works on edge2022, and will work for any year
What is 83 1/3% of 30
Answers
step by step explanation:
yw
hope this helps
give brainliest plz
Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3520 in total annual interest.
Answers
Answer:
first account with 6% interest ( x ) = $46000
second account with 4% interest ( y ) = $19000
Step-by-step explanation:
Principal = $65000
first interest rate = 6%
second interest rate = 4%
assuming ; X = money invested in first account , Y = money invested in second account
hence :
( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520
3900 - 0.06 y + 2600 - 0.04 x = 3520
0.04 x + 0.06 y = 3900 + 2600 - 3520
0.04 x + 0.06 y = 2980 ----- ( 1)
x + y = 65000 ------- ( 2 )
solve equation 1 and 2 simultaneously by elimination method
0.04 x + 0.06 y = 2980 ------ ( 3 )
0.06 x + 0.06 y = 3900 ------- ( 4 )
subtract equation 3 form equation 4
0.02 x = 920 , hence x = $46000
therefore y = $65000 - $46000 = $19000
Shaq invested $900 into a savings account that pays annual simple interest. At the end of 9 years, he earned $461.70 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.
Answers
Answer:
Interest = $900 * x * 9 years with "x" = interest rate
If interest = 461.70 then
461.70 = 900 * 9 * x
x = 461.70 / 8,100
x = interest rate = .057 = 5.7%
Double Check
Interest rate of 5.7 per cent equals
.057 * 900 = $51.30 per year
Nine Years = 9 * 51.30 equals 461.70
So, it's correct!!!
Step-by-step explanation:
A line passes through the point (6, -8) and has a slope of -3/2
Write an equation in slope-intercept form for this line.
Answers
b = y intercept(when x=0)
m = slope
You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.
we use (6, -8)
y = mx + b
Then, -8 = -3/2(6) + b
-8 = -9 + b
1 = b
Thus,
y = -3/2x + 1
How would you simplify 3/16 times 6/11 before finding the product
Answers
answere:
You can't simplify
explanation:
there is no need to simplify because 3/16 and 6/11 is the simplest form.
The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend. How many juice boxes will they need if they are expecting 15 children?
Answers
Answer:
52
Step-by-step explanation:
26 divided 4 multiplied by 8 equals 52
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
1 children = 22/6 juice boxes
15 children = 55 juice boxes
The number of juice boxes that are needed for 15 children is
55 juice boxes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
They think they will need 22 juice boxes for every 6 children who attend.
This can be written as,
6 children = 22 juice boxes
Divide 6 on both sides.
1 children = 22/6 juice boxes
Multiply 15 on both sides.
15 children = 15 x 22/6 juice boxes
15 children = 5 x 11 juice boxes
15 children = 55 juice boxes
Thus,
The number of juice boxes that is needed for 15 children is
55 juice boxes.
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Find the number if 5/6 of it is 55.
Answers
Answer:
The unknown number is 66.
Step-by-step explanation:
We know that we need to find the number that is 55 when calculated as 5/6 or the whole number. First, we must divide 55 by 5.
55 ÷ 5 = 11
This means that 1/6 of the unknown number is 11.
Now, let's multiply 11 by 6.
11 x 6 = 66
Therefore, the unknown number is 66.
Hope this helps! :)
Another number of the given question is 66
Given that;Product of two given number = 55
One number = 5/6
Find:Another number
Computation:Product of two given number = One number × Another number
n × 5/6 = 55
n = [55][6] / 5
n = 66
Another number = 66
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Skyler buts 8 t-shirts and 5 hats for $220. The next day, he buys 5 T-shirts and 1 hat for $112. Choose the system of equations that models the situation.
A. 5t+8h=220
t+5h=112
B. 13(t-h)=220
6(t-h=112
C. 8t+5h=220
5t+h=112
Answers
Answer:
the answer is c
Step-by-step explanation:
because of math
Answer:
c
Step-by-step explanation:
Plz help fast!!!!!!!
Answers
Answer:
90=square
72=nonagon
60=hexagon
45=pentagon
40=octagon
I am not entirely sure tho
Write the fraction in simplest form: 55/132 ASAP pls help me
Answers
Answer:
5/12
Step-by-step explanation:
Reduce the expression by canceling the common factors
A pool is in the shape of a rectangular prism. On Monday, water was pumped out of the pool at a constant rate, starting at 12:00 p.m. At 12:15 pm, the water in the pool was 45 inches deep. At 12:25 p.m., the water in the pool was 41 inches deep. Write an equation that represents y, the depth of the water (in inches), after x minutes.
Answers
Answer:
y = 51-0.4x
Step-by-step explanation:
From the question, we can see that the amount of water left in the pool was 45 inches deep within 12:15-12:00 = 15 minutes
However, within 10 minutes there was a loss of 45-41 = 4 inches
So what this means is that per minute, the amount of loss expected is 4 inches/10 minutes = 0.4 inches per minute
what we are saying is that a loss of 4 inches depth of water is needed per minute
So we want to write an equation, representing the depth after x minutes
So what we have here is that the total inches at present will be;
45 + 0.4(15) = 45 + 6 = 51 inches
The pool was 51 inches deep initially before the pumping out began
That will be;
y = 51-0.4x
where is the depth and x is the number of minutes
Answer:
24 inches
Step-by-step explanation: