Answer:
The area of the bedroom actually is 453.75 sq ft.
Step-by-step explanation:
Given that,
A blueprint shows the master bedroom to be 5 inches long and 3 inches wide.
The scale on blueprint is 2 inches : 11 feet.
It means 2 inches = 11 feet.
Then,
1 inches [tex]=\frac{11}{2}[/tex] feet = 5.5 feet.
So,
The length of the bedroom is 5 inches = (5×5.5) feet=27.5 feet
The wide of the bedroom is 3 inches = (3×5.5) feet= 16.5 feet
The area of the bedroom actually is = length × wide
=(27.5×16.5) square ft
=453.75 square ft
Final answer:
To find the area of the actual bedroom, you need to use the scale provided on the blueprint. By setting up ratios and solving for the actual length and width, you can find that the area of the actual bedroom is 453.75 square feet.
Explanation:
To find the area of the actual bedroom, we need to use the scale provided on the blueprint. The scale states that 2 inches on the blueprint represents 11 feet in reality. So, we can set up a ratio to find the actual length and width of the master bedroom:
Length ratio: 2 inches ∩ 11 feet = 5 inches ∩ x feet
Width ratio: 2 inches ∩ 11 feet = 3 inches ∩ y feet
By cross-multiplying and solving for x and y, we can find that x = 27.5 feet and y = 16.5 feet. Therefore, the actual length of the bedroom is 27.5 feet and the actual width is 16.5 feet. To find the area, we simply multiply the length and width: Area = 27.5 feet × 16.5 feet = 453.75 square feet.
One letter weighs 12 ounces. The mail carrier is allowed to carry 30 pounds. How many letters is he able to carry? 16 letters 32 letters 40 letters 480 letters
Answer: He is able to carry 40 letters
Step-by-step explanation: The total weight the mail carrier is allowed is 30 pounds, whereas each letter weighs 12 ounces.
What we need to do is simply find the rate of conversion between an ounce and a pound.
By conversion, 1 ounce equals 0.0625 pounds, that is;
1 ounce = 0.0625 pounds
Therefore 12 ounces would be 0.0625 times 12 which equals, 0.75 pounds. This means one letter weighs an equivalent of 0.75 pounds. If the mail carrier is allowed to carry a total of 30 pounds, then he can carry;
No of letters = Total weight allowed/weight of one letter
No of letters - 30/0.75
No of letters = 40
Hence the mail carrier is able to carry 40 letters.
Your Answer is C. He can carry 40 letters.
Step-by-step explanation:
Hope it helps!
Good luck!
if 85g = 237ml
20g = ?
Answer:
55 13/17
Or, 55.765 g
Step-by-step explanation:
85 : 237
20 : X
X/237 = 20/85
X = 55 13/17
Or, 55.765 g
27/45=_/5?
2/6=_/3?jjjjjj
Answer:
27/45=3/5
2/6=1/3
Step-by-step explanation:
An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to the nearest tenth.
Answer: [tex]BC=14.8[/tex]
Step-by-step explanation:
By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.
Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.
So, in this case you need to use the following Trigonometric Identity:
[tex]sin\alpha =\frac{opposite}{hypotenuse}[/tex]
In this case, you can identify that:
[tex]\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24[/tex]
Substituting values, and solving for "x", you get:
[tex]sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416[/tex]
Therefore, the length of BC rounded to nearest tenth, is:
[tex]BC=2(7.416)=14.8[/tex]
If you place a 29-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Answer:
Step-by-step explanation:
20
A bag has 2 blue marbles 3 red marbles and 5 white marbles. Which event has a probability greater than 1/5 select three options
Answer:
all
Step-by-step explanation:
all of them has the probability
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?
y > Two-thirdsx – 2
y < Two-thirdsx + 2
y > Two-thirdsx + 1
y < Two-thirdsx – 1
y < 2/3x - 1
Step-by-step explanation:Find the Equation of the line
P1(-3,-3) P2 (3,1)
1.) Find the Slope
Rise: 1-(-3) = 4
Run: 3-(-3) = 6
m = [tex]\frac{Rise(Changeiny)}{Run(Changeinx)}[/tex] = [tex]\frac{4}{6}[/tex]=[tex]\frac{2}{3}[/tex]
2.) Find y intercept (B)
y = 2/3x + b
-3 = 2/3(-3) + b <-Plug a point in
-3 = 2 + b
-2 -2
-1 = b
3.) Equation
y = 2/3x - 1
Write an inequality
Since y must be below the line, that means y is less than the equation used to find the line.
y < 2/3x - 1
Though I was not able to get the right answer I'll just answer what has the right equation.
Answer:
y < Two-thirdsx – 1
Step-by-step explanation:
Select the correct answer.
An elevator at a department store must carry fewer than 17 people at a time. An elevator operator is present in the elevator at all times. If
x customers can travel in the elevator with the elevator operator, which inequality represents this situation?
A X+1 <17
B. x>18
C. x+1<16
D. X<17
E. x+1 >18
Answer:
a
Step-by-step explanation:
3) Mr Peterson bought a case (24 boxes) of fruit juice. One-third of the drinks were
grape and two-thirds were cranberry How many boxes of each flavor did Mr.
Peterson buy?
Answer:
8 grape and 16 cranberry
Step-by-step explanation:
To find this, we need to know what one-third of 24 boxes are; we'd then do 24 divided by 3, which is equal to 8. One-third of them were grape so we know 8 are grape. Cranberry makes up the other two-thirds; two-thirds is equal to one-third times 2. 8 (one-third) times 2 is 16, giving our answer of 16 cranberry.
Answer:
mr peterson bought 8 boxes of grape juice and he bought 16 boxes of cranberry juice
Step-by-step explanation:
help with this pls is important
Answer:
#1: x=6, -1
#2: x=2, 3
#3: x = - 4/3, 2
#4: x = -5/2, -2
#5: x = 1/2, -7/2
#6: x= -1/2, 2/3
#7: x = 1/3, 1/4
Step-by-step explanation:
You’re gonna have to copy this down quickly because if they see that I don’t have an explanation, they are going to delete my comment. So hurry!!!
Answer:
Step-by-step explanation:
Sammy and his family took a hiking trip to the mountains. They started out with 20 pounds of food. They plan on eating 4 pounds of food each day. Write a. Equation that relates the remaining food supply r to the number d
Answer:
The answer is r = 20 - 4d
Step-by-step explanation:
They started out with 20 pounds of food and consume 4 pounds each day which implies after d number of days, they would have consumed 4d pounds.
Hence, the remaining amount of food (r) = 20 - 4d
The scale drawing can be used to approximate the area of an LCD television. There are 58,000 pixels in the area shown. What is the density of the pixels on the television
answer: 6,628.6
you do 3.5 x 2.5 and get 8.75
then divide 58,000 by 8.75 to get the answer
To calculate the density of pixels on the television, divide the total number of pixels by the actual area of the television screen. Use the scale drawing to find the actual area of the television screen. In this case, the density of pixels on the television is 5.8 pixels per square unit.
Explanation:The density of pixels on the television can be calculated by dividing the total number of pixels by the total area of the television screen. In this case, the total number of pixels is given as 58,000. To find the area of the television screen, we need to use the scale drawing. Let's say the scale factor is 1:100. If we represent the actual area of the television screen as A, and the area shown on the scale drawing as D, we can set up the equation A/D = 1/100. Rearranging the equation, we have A = D * 100. Now we can substitute the value of D, which is the area shown on the scale drawing, into the equation. So, if the area shown on the scale drawing is 100 square units, the actual area of the television screen would be 100 * 100 = 10,000 square units. Finally, we can calculate the density of pixels by dividing the total number of pixels (58,000) by the actual area of the television screen (10,000). The density of pixels on the television is therefore 5.8 pixels per square unit.
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Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
Answer:
Step-by-step explanation:
we have that
[tex]f(x) = x^2 + x - 9[/tex]
Using a graph tool
see the attached figure
The function represent a vertical parabola that open up
the vertex is a minimum-------> is the point (-0.5, -9.3)
The x-intercepts are the points when the y coordinate is equal to zero
The x-intercepts are the points (-3.5, 0) and (2.5, 0)
so
the function cross the negative x-axis at point
therefore, the answer is
(-4, 0) and (-3, 0)
Answer:
(-6,0)(-5,0)
Step-by-step explanation:
Explain whether y = x2 – 1 is a linear equation
Answer:
Step-by-step explanation:
A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction
The given equation y = x² - 1 is not a linear equation.
What is a linear equation?Linear equations are algebraic equations that have only one constant and are only of the first degree.
Is y = x² - 1 is linear equation?We know that linear equations are of the only first-order(linear) term, but since the given equation has the second-order(linear) term.
Hence, the given equation y = x² - 1 is not a linear equation.
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When you think of a multiplication fact that can help you solve a division problem, the quotient of the division will become what part of the multiplication fact?
Answer:
The quotient of the division will become a factor in a multiplication fact.
Step-by-step explanation:
In division there is a relationship between the dividend, divisor, quotient and remainder. The number which we divide is referred to as the dividend. The number by which we divide is called the divisor. The result obtained is known as the quotient. The number left over is called the remainder.
The dividend, divisor, quotient and remainder will help us to verify the answer of division. Add remainder (if there is any) with the product of divisor and quotient. The sum we get should be equal to the dividend.
The quotient of the division will become a factor in a multiplication fact.
For instance,
18 ÷ 3= 6
Where 3 is the divisor, 6 the quotient and 18 the dividend
3 × 6= 18
The quotient of the division 6 is a factor in the multiplication.
On Thursday, Mme Q answered emails from her students for 5/6 hour. On Friday, she increased her time answering emails by 7/12 hour. On Thursday, Mme F answered emails for 1/2 hour. On Friday, Mme F increased the amount of time answering emails by 3/4 hour.Who spent more time answering emails from students on Friday and by how many minutes?
Answer:
Mme Q spent more time answering emails from students by 10 minutes
Step-by-step explanation:
Here we have
Time spent by Mme Q in answering mails on Friday given by
5/6 Hour = 50 minutes and
7/12 Hour = 35 minutes
Total time spent on Friday = 85 Minutes or
5/6 + 7/12 = 17/12 Hours
Time spent by Mme F in answering mails on Friday given by
1/2 Hour = 30 minutes and
3/4 Hour = 45 minutes
Total time spent on Friday by Mme F = 75 Minutes or
1/2 + 3/4 = 5/4 Hours
Therefore, Mme Q spent more time answering emails from students by 85 - 75 = 10 minutes.
Which statement about histograms is true?
A. Data is organized in categories.
B. Data appears as bars that are all about the same height.
C. Data is organized in equal intervals.
D. Data appears as bars that do not touch.
Answer:
C. Data is organized in equal intervals. i think
Step-by-step explanation:
The correct statement about histograms is that data is organized in equal intervals. A histogram represents data through bars of different heights, corresponding to their frequency, grouped into specified ranges.
Explanation:In regards to histograms in mathematics, the true statement is: C. Data is organized in equal intervals. A histogram is a type of graphical representation that organizes a group of data points into a specified range. The data is portrayed via bars of different heights, where each bar groups numbers into ranges. These bars touch each other where the height of each bar corresponds to its frequency of data points. Unlike bar charts, histograms do not display data in separate categories, but as continuous data grouped into ranges, hence they are arranged in equal intervals.
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(5 × 4) × (16 ÷ 8) × (24 − 22) =
Answer:
= 80
Step-by-step explanation:
(5 × 4) × (16 ÷ 8) × (24 − 22) =
20 * 2 * 2 =
80
In 56 years, Kevin will be 9 times as old as he is right now.
How old is he right now?
Answer:
he's 7 years old
Answer:
Step-by-step explanation: Kevin will actually be 6 years and 2 months old
What is 5/6 times 11/12 in fraction form
Answer: 55/72
Step-by-step explanation:
Answer:
55/72
Step-by-step explanation:
5/6×11/12
=5 × 11/6 × 12
=55/72
Which of the following is the definition of a hypothesis?
A. a testable scientific question
B. an interesting question for further research
C. an informed explanation that can be tested
D. a type of experiment that provides information
Answer:
A. a testable scientific question
Answer:
the answer is A beacuse it is a testable dientific questuon
what is 4.5 x 10^6 in standard notation
Answer: 4500000
Step-by-step explanation:
10^6 = 1000000
1000000 x 4.5 = 4500000
Answer = 4500000
Answer:
4500000
Step-by-step explanation:
Estimate the number of cell phone subscribers in 2008. Round to the nearest tenth.
Answer:
For this case we have an exponential function of the form:
Where,
A: initial number of subscribers
b: rate of change
x: number of years
Part A:
The equation modeling the problem is given by:
For the year 2008 we have x = 2.
Substituting values:
Part B:
For the year in which the company reaches 278 million we have
Thus, the company reaches 278 million in the year 2009.
Step-by-step explanation:
Please help me with this question. Will mark brainliest!!
Answer:
77
Step-by-step explanation:
im rusty but u double 75 i think add the arc thing which is 133 and subtract that from 360 to get 77
20% of a is 11. What is a? *
20% of a = 11
[tex]\frac{20}{100}[/tex] a = 11
[tex]\frac{1}{5}[/tex] a = 11
a = 55
I hope this helps! If you have any questions, feel free to ask.
Answer.
2.2
Why:
in percents you always put the percent above 100% ( so it'll look like this---- 20/100) and your number that is left out would be 11 so you put it by your percent like this----20 a
100 11
so now you do divide and multiply: you divide 20 by 100 and multiply by 11 to get a which is 2.2
What is 2 divided by 565
Answer:
.003539823 to be exact
Step-by-step explanation:
well 565 cant go into 2 one time so it be a decimal.
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
What is the surface area of the triangular prism?
60 square feet
72 square feet
82 square feet
84 square feet
Answer:
My friends
Step-by-step explanation:
the surface area of the triangular prism is
60 square feet
This is hard hi and I'm guessing 60 also
Which formula should be used to find the circumference of a circle?
A C = pi d
B C = 2 pi d
C C = pi r
D C = StartFraction pi over d EndFraction
Answer:
A
Step-by-step explanation:
[tex]C=\pi d\\[/tex]
or
C=pi times 2r
Answer:
A
GIVE THE OTHER GUY BRAINLIEST
ALL CREDIT TO HIM
lani and her friends started a dog walking service after school, they want to know how much money they can earn walking diffrent dogs
The amount of money Lani and her friends can earn walking different dogs depends on a number of factors, including:
The number of dogs they walk each day/weekThe length of each walkThe rates they charge per dog/walkThe demand for dog walking services in their area.Here is an example of how to calculate the potential earnings for Lani and her friends:
Number of dogs walked per day/week: Let's say Lani and her friends walk 5 dogs per day, 5 days per week.
Length of each walk: Let's say each walk is 30 minutes long.
Rates charged per dog/walk: Let's say they charge $20 per dog per walk.
Demand for dog walking services: Let's say there is a high demand for dog walking services in their area.
Based on these assumptions, Lani and her friends could earn up to $250 per day and $1,250 per week walking dogs
Of course, these are just estimates. The actual amount of money they earn will depend on the factors listed above.
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I need help I don’t understand this math
Answer:
I dont understand math either