A new dining room is being built in Carol’s home. In a scale drawing of the room, 1 inch represents LaTeX: 2\frac{1}{2}212feet. A sketch of the drawing is shown
Answers
Answer/Step-by-step explanation:
Area of the dinning room table:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room table on the sketch = 2 in
Actual length of dinning room table = 2 × 2½ = 5 ft
Width of the dinning room table on the sketch = 1 in
Actual width of dinning room table = 1 × 2½ = 2.5 ft
Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²
Area of the dinning room:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room on the sketch = 7⅕ in
Actual length of dinning room = 7⅕ × 2½ = 18 ft
Width of the dinning room on the sketch = 4⅘ in
Actual width of dinning room = 4⅘ × 2½ = 12 ft
Area of dinning room = length × width = 18 × 12 = 216 ft²
Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table
= 216 - 12.5 = 203.5 ft²
Related Questions
Joaquin made four times as many goals as daniel during soccer practice today. What is the ratio?
Answers
Answer:
4:1
Step-by-step explanation:
Let the no. of goals Daniel scored be x
Hence,
No. of goals Joaquin scored = 4 x
No. of goals Daniel scored = x
Hence,
The ratio of the no. of goals scored by Joaquin to the no. of goals scored by Daniel
[tex]=\frac{4x}{1x}[/tex]
[tex]=\frac{4}{1} \\=4:1[/tex]
HELP!!!
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased?
Answers
Answer:
16 of the 28,000 gallon tanks
6 of the 14,000 gallon tanks
4 of the 7000 gallon tanks
Step-by-step explanation:
ez
The tank should be leased by each quantity by 4 tank cars of 7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
Let Tank cars of 7000 gallons = x
Let Tank cars of 14000 gallons = y
Let Tank cars of 28000 gallons = z
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons.
i.e ,
x + y + z = 26 ---------------------------------------(1)
and
7000x + 14000y + 28000z = 560000
x + 2y + 4z = 80 --------------------------------(2)
Now , solving equation (1) and (2) by elimination method
x = 4
y = 6
z = 16
Hence, The tank should be leased by each quantity by 4 tank cars of 7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .
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Which components would Mr. Kelly use to write an equation to determine the total cost of the meal, given the amount of the bill, x?
Answers
When the teacher asked Henrietta which is bigger 0.8 or 0.64, Henrietta said 0.64 because “it represents 64 of the hundredths, rather than only 8 of them” what do you think of Henriettas explanation?
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Answer:
Henrietta is incorrect
Step-by-step explanation:
Start in the tenths place and notice that 8 is greater than 6. This makes 0.8 greater than 0.64
You don't need to consider the hundredths place value unless both numbers in the tenths are the same.
In the expression shown, n
represents a rational number.
7n
What value of n makes the
expression a number less than
7?
A. 3/2
B. 6/6
C. 4
D. 714
Answers
Answer:
C. 4/5
Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7
IM A DUMB BLONDE AND I NEED YOUR HELP RIGHT NOW
Answers
Answer:
- 1 and 3
Step-by-step explanation:
(6x^4-8x^2) divided by 2x^2, where x does not equal 0?
Answers
Answer:
3x^2 - 4
Step-by-step explanation:
(6x^4 - 8x^2) ÷ 2x^2
3x^2 - 4
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 480 miles apart after 3 hours, what is the rate of the eastbound train?
Answers
Explanation:
Distance to east+Distance to west = 480
But distance = V x t
Let x be the velocity
And t = 3hr
=> 3(x - 14) + 3x = 480
=> 3x - 42 + 3x = 480
=> 6x - 42 = 480
=> 6x = 522
=> x = 522/6
=> x = 87
But eastbound train travel 14 mi less than westbound.
x - 14
But x = 87
=> 87 - 14 = 73
Thus, 73 is the rate of the eastbound train
73 is the rate of the eastbound train while The speed of the westbound train is 59 miles per hour.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train.
Eastbound train:
time = 3 hrs, rate = x mph, distance = 3x miles
Westbound train:
time = 3 hrs ; rate = x-14 ; distance = 3x-42 miles
3x + 3x - 42 = 480
6x = 438
x = 73 (rate of the eastbound train)
To find the rate of the westbound train:
rate = x -14
rate = 73 - 14
rate of westbound train = 59
Therefore, The speed of the westbound train is 59 miles per hour.
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I need some help I suck at math♂️♂️
Answers
Answer:
x = 11
Step-by-step explanation:
Add 7/6 to each side, so it now looks like this: 5/6x = 55/6Divide each side by 5/6 to cancel out the 5/6 next to x. It should now look like this: x = 11I hope this helps!
PLEASSEEE HELP OMG I WILL DO ANYTHING!!! IM BEGGING
Answers
Answer:
180 boxes
Step-by-step explanation:
The rate of change is 10 boxes per hour, so if you multiply 10 times 18 you will get 180 which is the answer.
I'll give brainliest
what is a slope??????
Answers
Answer:
Step-by-step explanation:
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Answer:
The slope is the steepness of a function/line
it is the coefficient of x or m in y=mx+b
A swester is 20 dollars and is on ssle for 12 dollars. What percentage off
Answers
12 dolars / 20 dolars
the percentage is
(20-12) / 20
= 8/20
= 40 %
Gerrit Cole’s salary pitching for the Yankees in 2020 is $36,000,000. Cole averages about 2,000 pitches each year. About how much money does Gerrit Cole make per pitch
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36000000 x 2000 = 72000000000
I NEED HELP ASAP PLEASEEEEEE
Answers
Answer:
3/24= 33/264
2/9= 12/54
4/5= 32/40
8/9= 16/18
42/18= 7/3
32/12= 8/3
Step-by-step explanation:
You have to use common factors and denominators to match numbers. VERY COMPLICTED! Hope this helps!
Dimensions are not necessary on an Isometric drawing
True
False
Answers
Answer:
true
Step-by-step explanation:
Translate the sentence into an equation.
Twice the difference of a number and 2 equals 6.
Use the variable b for the unknown number.
Answers
Answer:
b + 2 = 6
Step-by-step explanation:
This may not be the right answer, but its what I think it is.
48 on shelves how many on 12 shelves
Answers
Answer:
Step-by-step explanation:
If there are 48 books on shelves
Then number of books in 12 shelves
= 48 ÷ 12 = 4 books
Answer:
576
Step-by-step explanation:
because 48 books on each shelves 48×12=576
(3x + 23) degree (7x - 37) degree find m angle XYV
Answers
Answer:
An Obtuse angle is an angle whose degree measure is greater than 90 and less than 180o. ... 2x + 8 + 3x + 2 = 180 ... 14 – 23, Provide the name of the following relationships: 14. ... m∠BEC = 5x - 25 and m∠DEA = 7x – 65, find ... 37. If the measures of the angles of a triangle are represented by 2x + 8, x - 8 and 2x – 20.
Step-by-step explanation:
The required measure of angle ∠XYV is given as 112°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
According to the given condition,
As Line WV intersects line XZ at V so,
Angle XYW = Angle VYZ
Substitute the value in the above expression,
3x + 23 = 7x - 37
60 = 4x
x = 15
∠ XYW = 3x + 23
= 3(15) + 23
= 45 + 23
= 68
Now,
∠XYV = 180 - ∠ XYW
Substitute the value in the above expression,
∠XYV = 180 - 68
∠XYV = 112°
Thus, the required measure of angle ∠XYV is given as 112°.
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Please help thank you so much I mark as brainliest
Answers
The coordinates of point R are (-8, 7)
Help please, only right answers get brainliest!
Answers
Answer:
90
Step-by-step explanation:
The number of possibilities is the the product of the number of choices of each category.
size: 3 choices
cheese: 2 choices
side dish: 3 choices
drink: 5 choices
number of difference possibilities: 3 * 2 * 3 * 5 = 90
Answer: 90
Which list shows all the factors of 72?
OA) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
OB) 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
OC) 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
OD 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72
Answers
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The Cowboys have won 11 out of the 12 games they have
played this season. What is their ratio of Wins to Losses?
Answers
eleven wins to one lose 11 to 1
The graph of a line passes through the two points (-2,1) and (2,1). What is the equation of the line written in general form ?
A. y-1=0
B. x-y+=0
C. x+y -1=0
Answers
Answer:
A
Step-by-step explanation:
When you plot the points (-2,1) and (2,1) on a graph, you get a horizontal lines that crosses through y=1 which can be rearranged to be written as y-1=0
Question 4
Which situation requires the use of the cube root?
A
determining the surface area of a cube given the side
B
determining the volume of a cube given the side
С
determining the side of a cube given the volume
D
determining the volume of a sphere given the radius
Answers
Answer:
Step-by-step explanation:
O
Will mark Brainliest, 15 points. Easy question.
The point slope form of the line that passes through
(-4, -3) and (12, 1) is
y - 1 = 1/4 ( x - 12). What is the standard form of the equation for this line?
A). X - 4y = 8
B). X - 4y = 2
C). 4x - y = 8
D). 4x - y = 2
Answers
I don’t understand this and it’s due at 12
Answers
Answer:
The 20% tip would be 18%
The 80% mark down would be 0.8 I think
The 60% I'm not sure for the 60% one
The 10% I'm not sure for that one but I think it would be 3.75
I think for 75% mark down it would be 0.7 I'm not sure tho and I'm not sure for the rest
Sorry if I'm wrong but hope this helps:)
The office supply closet had 25,473 large paper clips, 13,648 medium paper clips, and 15,306 small paper clips. How many paper clips were in the closet?
Answers
Answer:
The answer is 54,427
Step-by-step explanation:
Add them up
least common multiple
3/6 , 2/12
Answers
Answer:
6
Step-by-step explanation:
3,6,9.12
2,4,6,8,10,12
Find the slope of the line connecting the point (2,3) to the point (4,6)l
Answers
Answer:
2/3
I hope this helps :D
9514 1404 393
Answer:
3/2
Step-by-step explanation:
The slope is the "rise" (change in y) divided by the "run" (change in x).
m = (y2 -y1)/(x2 -x1)
m = (6 -3)/(4 -2) = 3/2
The slope is 3/2 = 1.5.
As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He remembers that the sum of the trials was −1. What was the value that was smudged?
Trials
−9
12
(smudged)
−8
A) 2
B) −2
C) −4
D) 4
PLEASE HELP IM GONNA FAIL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(
Answers
Answer:
D) 4
Step-by-step explanation:
−9 + 12 + (unknown) + −8 = −1
Start by going through and testing each option
−9 + 12 + 2 + −8 =
3 + 2 + −8 =
5 + −8 =
−3
−3 ≠ −1
A) 2 is not possible.
−9 + 12 + −2 + −8 =
3 + −2 + −8 =
1 + −8 =
−7
−7 ≠ −1
B) −2 is not possible.
−9 + 12 + −4 + −8 =
3 + −4 + −8 =
−1 + −8 =
−9
−9 ≠ −1
C) −4 is not possible.
From this, D is looking like the answer. But to be sure, test it.
−9 + 12 + 4 + −8 =
3 + 4 + −8 =
7 + −8 =
−1
−1 = −1
D) 4 is the answer.