The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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What is the equation of a line perpendicular to y = 12
x + 3, which has an x-intercept 8 units greater than the x-intercept of y = 12
x + 3?
By analytic geometry, the equation of the line y = - (1 / 12) · x + 11 is perpendicular to the line y = 12 · x + 3.
How to derive the equation of a line perpendicular to another line
In accordance with analytic geometry, lines are described by algebraic equations of the form:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - InterceptThe relationship between the slopes of two perpendicular lines:
m · m' = - 1
First, write the original line:
y = 12 · x + 3
Second, write the slope and the intercept of the original line:
m = 12, b = 3
Third, the slope and the intercept of the perpendicular line:
m = - 1 / 12, b = 11
Fourth, write the equation of the perpendicular line:
y = - (1 / 12) · x + 11
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These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals
Answer:
A. (the vertical scale)
2nd part is the Bottom graph
Step-by-step explanation:
Answer:
A. The Vertical Scale
Step-by-step explanation:
the other one has more value than the other....And i got it right from
---------------------------------------E D G E N U I T Y 2 0 2 0--------------------------------------
hope this helps. :P
A box is filled with 2 red carts, 3 green cards, and 8 brown cards. A card is chosen at random from the box, What is the grobability that the card is not green?
Write your answer as a fraction in simplest form.
Answer:
10/13
Step-by-step explanation:
High. Very High
The total number of cards is 8 + 3 + 2 = 13
There are 3 green ones and 10 others.
P(~G) = 10/13 = 0.769
How do you do this question?
For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);
x = 1 + t(4 - 1)
y = 1 + t(3 - 1)
A to B => (x = 1 + 3t, y = 1 + 2t)
We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);
x = 4 + t(1 - 4)
y = 3 + t(7 - 3)
B to C => (x = 4 - 3t, y = 3 + 4t)
(x1, y1) = (1, 1) and (x2, y2) = (1, 7);
x = 1 + t(1 - 1)
y = 1 + t(7 - 1)
A to C => (x = 1, y = 1 + 6t)
Here is your graph of the triangle. Desmos is a really great tool to use;
An airplane is at 32,000 feet above sea level
Answer:
is that the question because I'm not sure
Answer:
whats the full question
Step-by-step explanation:
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
х
B
L
D
с
30
O A. 30.1
B. 6.5
C. 14
O D. 16
Answer:
D. 16
Step-by-step explanation:
the perimeter of a square flower bed is 100 feet. what is the area of the flower bed in sqaure feet
Answer:
A =625 ft^2
Step-by-step explanation:
The perimeter of a square is
P = 4s where s is the side length
100 =4s
Divide each side by 4
100/4 = 4s/4
25 = s
A = s^2 for a square
A = 25^2
A =625
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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two containers designed to hold water are side by side, both in the shape of a cylinder. container A has a diameter of 32 feet and a height of 16 feet. container B has a diameter of 30 feet and a height of 18 feet. container A is full of water and the water is pumped into container B until container B is completely full.After the pumping is complete, what is the volume of water remaining in container A to the nearest tenth of a cubic foot?
Given the word problem, we can deduce the following information:
Container A:
d=32 ft
h=16 ft
Container B:
d=30 ft
h=18 ft
To determine the volume of water remaining in container A, we first get the volume of container A by using the formula:
\(V=\pi(\frac{d}{2})^2h\)We plug in what we know:
\(\begin{gathered} V=\pi(\frac{d}{2})^{2}h \\ V=\pi(\frac{32}{2})^2(16) \\ Calculate \\ V=12867.96\text{ }ft^3 \end{gathered}\)Next, we get the volume of container B using the same formula:
\(\begin{gathered} V=\pi(\frac{d}{2})^{2}h \\ V=\pi(\frac{30}{2})^2(18) \\ Calculate \\ V=12723.45\text{ }ft^3 \end{gathered}\)Now, we get the difference:
\(\begin{gathered} Volume\text{ }Remaining=12867.96\text{ }ft^3-12723.45\text{ }ft^3 \\ Simplify \\ Volume\text{ }Remaining=144.5\text{ }ft^3 \end{gathered}\)Therefore, the answer is:
\(\begin{equation*} 144.5\text{ }ft^3 \end{equation*}\)What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18
Chase thought that only 23 people would come to the banquet, but 48 people ended up coming. What was his percent error?
Answer:
The answer is 52%
ssmoga membantu
Ted invests in an annuity which earns 6.2% annual interest and he contributes $250 per month for 30 years. If Ted wants to perform some calculations to determine his future value, what formula would Ted use?
The future value of the annuity investment is expressed in option A
Future ValueThe future value formula is used to calculate the future value (FV) of an investment with given inputs of compounding periods (N), interest/yield rate (I/Y), starting amount, and periodic deposit/annuity payment per period (PMT).
The formula can be expressed as
FV = [MP(1 + r/n)^nt - 1] / [r/n]
FV = future valuemp = monthly paymentr = rate n = number of times compoundedWe can substitute the values into the equation;
FV = 250[(1 + 0.062/12)^12 * 30] / 0.062 /12
The answer to this question is option A
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State the name of the property illustrated.
4(-8+5)= - 32 + 20
The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.
The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.
In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:
4(-8 + 5) = (4 * -8) + (4 * 5)
This simplifies to:
4(-8 + 5) = -32 + 20
Finally, we can perform the addition:
-32 + 20 = -12
Therefore, the equation demonstrates the application of the Distributive Property.
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Kesha and Polly were making cookies and cakes using the same recipe. Keesha made 5 batches of cookies and 3 cakes using 21 cups of flour. Polly made 6 batches of cookies and 4 cakes using 26 cups of flour. How many cups of flour does each dessert require?
analyze problem
make system of equations
5x+3y=21
6x+4y=26
using elimination:
x=3,y=2
The width of a rectangle is 5 feet longer than two times its length. If you use L to represent the length of the rectangle, then an expression representing the width is:
Answer:
W = 2L + 5
Step-by-step explanation:
The width of the rectangle is two times the length plus five feet.
What is the solution to this system of equations y=x+6 and y=-.5x+3
Answer:
x=-6, y=0
Step-by-step explanation:
it's impossible to fully solve an equation where 2 variables are unknown. So we have to make it equal to 1 set. to do this, we have to think logically.
if y=x+6, then that means wherever it says y, we can put x+6. because x+6=x+6, right? so we plug x+6 into the second equation and get.
x+6=0.5x+3
to solve for x we subtract 6 from one side and 0.5 from the other and get
0.5x=-3
then we multiply both sides by 2 to make be a whole number
x=-6
now we just plug this into either equation. because the first one is easier, we can just set it up as
y=(-6)+6
which means y=0
What is the average weight of the kittens in the shelter?
X X
X X X
X X X X
X X X X
nlplaintick nlplaintick nlplaintick nlplaintick
1
4
3
8
1
2
5
8
Weights of Kittens in the
Animal Shelter (lb)
The average weight of the kittens in the shelter is lbs.
Answer:
The answer is 9
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
A
E
60
X
C
D
10
40
B
Answer:
790
Step-by-step explanation:
7098uuilu4645
Henry can paint a room in 5 hours and nick can do it in 2 hours. How long will it take Henry and nick to paint the room together?
Answer:
1 3/7hours
Step-by-step explanation:
If Henry can paint a room in 5 hours, then he must be able to paint 1/5 of the room in 1hour
If nick can do it in 2 hours, he must be able to paint 1/2 of the room in 1 hour
Together they can paint (1/5+1/2) of the room in 1 hour
1/5+1/2 = (2+5)/10
= 7/10
This means that they can both paint 7/10 of the room in 1hour
Hence the can use 10/7 hours to paint 1room
Time taken for them to paint the room together is 10/7 hrs = 1 3/7hr
Suppose I have a right trapezoid with base lengths of 4 and 16. Is there any way I can find out what the missing side is? (see image attached)
Answer:
no
Step-by-step explanation:
If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).
All you can say is that the unknown slant length is more than 12 units.
If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.
What is the solution to 3+x=x+3
Answer:
all real numbers
Step-by-step explanation:
if you subtract x from both sides, you get x=x. This is true for basically any number
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
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About: Classifying Rational Numbers
Question: Write each rational number in the form a-t (fraction) where a and b are integers.
Offering 30 points for a answer!
0.7 -29 and 8|1-3 (fraction)
Answer:
i dont know how to use sign
Pls help me !!! Thank you
Answer:
First: Subtract each side to get y-b=mx
Secound:divide each side by x to get y-b/x=m
Third:we divide both sides b x to get m by itself.
(y-b)/x=(mx)/x
(y-b)/x= m
Therefore m is equal to(y-b)/x
Work out the following sheet please
The area of the rectangle would be = 4,522.14cm²
The perimeter for the rectangle = 9044.28 cm
How to calculate the perimeter and area of a rectangle?To calculate the area of a rectangle the formula given below is used. Such as;
Area = length× width
Where length= 87.3cm
width = 51.8cm
Area = 87.3×51.8 = 4,522.14cm²
To calculate the perimeter of a rectangle the formula given below is used. Such as;
perimeter = 2 (length× width)
= 2 ( 87.3×51.8)
= 2 (4,522.14)
= 9044.28 cm
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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answer first three questions for brainliest
How many miles can a ostrich run in half an hour
Answer:
an ostrich can run 45 miles half an hour