Answers
7) x = 12 and the side lengths are all 23
9) x=19, AB=BC=98, AC=125
10) x=14, GI=HI=39, GH=17
Related Questions
You are a house flipper who has just purchased a house and you are eager to fix it up so that you can put it back on the market. For one project, you plan to put wallpaper in both the family room and the living room. You will not put wallpaper across any of the doorways. (Answer all questions)
Answers
Answer:
1) (12x² - 21) ft²
2) (16x² - 42) ft²
3) (28x² - 63) ft²
4) a) 747 ft²
b) 982 ft²
c) You will need 235 more square feet of wallpaper for the living room than the family room.
Step-by-step explanation:
LSA of cuboid = 2h(l + b)
1) h = x, l = 3x and b = 3x
ar(walls) = 2(x)(3x + 3x)
= 2x(6x)
= 12x²
ar(door) = width* height
= 3*7
= 21
Paper for room = ar(walls) - ar(door)
= (12x² - 21) ft²
2) h = x, l = 5x and b = 3x
ar(walls) = 2(x)(5x + 3x)
= 2x(8x)
= 16x²
ar(doors) = 2* ar(door)
= 2*21 (ar(door) = 21 from Q1)
= 42
Paper for room = ar(walls) - ar(doors)
= (16x² - 42) ft²
3) Total paper = paper for living room + paper for family room
= 12x² - 21 + 16x² - 42
= (28x² - 63) ft²
4) x = 8
a) living room: 12x² - 21
= 12(8²) - 21
= 747 ft²
b) family room: 16x² - 42
= 16(8²) - 42
= 982 ft²
c) Difference in area: 982-747
= 235 ft²
You will need 235 more square feet of wallpaper for the living room than the family room.
We can see here that the areas are:
1) (12x² - 21) ft²
2) (16x² - 42) ft²
3) (28x² - 63) ft²
4) a) 747 ft²
b) 982 ft²
c) 235 more square feet of wallpaper will be needed for the living room than in the family room.
What is area?Area refers to the extent or size of a two-dimensional surface or region. It is a measurement of the amount of space enclosed within the boundaries of a shape or an object.
In mathematics, area is typically expressed in square units, such as square meters (m²), square centimeters (cm²), square inches (in²), or square feet (ft²).
Below is how the above answers were gotten:
LSA of cuboid = 2h(l + b)
1) h = x, l = 3x and b = 3x
area(walls) = 2(x)(3x + 3x)
= 2x(6x)
= 12x²
area(door) = width × height
= 3×7
= 21
Paper for room = area(walls) - area(door)
= (12x² - 21) ft²
2) h = x, l = 5x and b = 3x
area(walls) = 2(x)(5x + 3x)
= 2x(8x)
= 16x²
area(doors) = 2 × ar(door)
= 2 × 21 (area(door) = 21 from Q1)
= 42
Paper for room = area(walls) - area(doors)
= (16x² - 42) ft²
3) Total paper = paper for living room + paper for family room
= 12x² - 21 + 16x² - 42
= (28x² - 63) ft²
4) x = 8
a) living room: 12x² - 21
= 12(8²) - 21
= 747 ft²
b) family room: 16x² - 42
= 16(8²) - 42
= 982 ft²
c) Difference in area: 982-747
= 235 ft²
235 ft² more square feet of wallpaper for the living room than the family room.
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Which statement correctly identifies the line of reflection?
Vx
4
3
-6-5-4-3
2
5 6
X
ON
O The triangles are reflected across the x-axis.
O The triangles are reflected across the y-axis.
O The triangles are reflected across the line y = x
O The triangles are reflected across the line y = -x
Mark this and return
Next
Submit
Answers
Answer: C: The triangles are reflected across the line y = x.
Step-by-step explanation: I got right on edge.
Which one of these points lies on the given circle?
(-2.5, -2.5)
(1,3)
(2,-square root of 5)
(-square root of 3, -square root of 7)
Answers
Answer: C. \( (2, \sqrt{5}) \)
Step-by-step explanation:
The x coordinate is 2, which is 2 units right of (0, 0)
- √5 is the y coordinate
- (√5) = - (2.23) = -2.23
The y coordinate is -2.23 or 2.23 down from (0, 0)
The rest of the ordered pairs are slightly off the edge of the circle.
Can anyone help me with this? I'm not very good at math... =.=
Answers
yes if horizal is mirrored
How can you tell from the prime factorization of the of two numbers if their LCM is the product of the two numbers
Answers
To determine if the LCM of two numbers is the product of the two numbers using their prime factorization, you need to check if the numbers are coprime.
Coprime numbers have no common prime factors except for 1. If the numbers are coprime, their LCM will be equal to the product of the two numbers.
To tell if the LCM of two numbers is the product of the two numbers, you need to compare the prime factorization of the two numbers. If the prime factors of both numbers are unique (meaning they do not share any common factors), then the LCM will be the product of the two numbers. However, if the two numbers share some common prime factors, then the LCM will have to include those factors at their highest power. So, to find the LCM of the two numbers, you need to take the highest power of each prime factor that appears in either number and multiply them together. If the product of these highest powers matches the product of the two numbers, then the LCM is equal to the product of the two numbers.
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Rita started to run on a treadmill after setting its timer for 93 minutes. The display says that she has finished 24% of her run. How many minutes have gone
by? Round your answer to the nearest tenth.
1 minutes
5
?
Answers
Answer
22
Step-by-step explanation:
24%=24/100, she finished 24% of her run and of means to multiply so 24/100 x93= 22.32. 22.32 rounded to the nearest tenth is 22 so 22 minutes is the amount of time that has gone by :)
Evaluate the expression 2l + 2w for l = 5.7 and w = 6.2. Enter your answer in the box.
Answers
Answer:
23.8
Step-by-step explanation:
(2 x 5.7) + (2 x 6.2)
= 11.4 + 12.4
=23.8
The value of the expression 2l + 2w at l = 5.7 and w = 6.2 is 23.8.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 2l + 2w.
Now, At l = 5.7 and w = 6.2 the value of the expression would be,
= 2(5.7) + 2(6.2).
= 11.4 + 12.4.
= 23.8
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Find the area of the given figure. Show your work!
Answers
The admission fee at an amusement park is $1.25 for children and $6.60 for adults. On a certain day, 342 people entered the park, and the admission fees collected totaled $1337. How many children and how many adults were admitted
Answers
Let's imagine all the tickets were for children.
The fees collected would've been 342 x 1.25 = $427.5
That is 1337 - 427.5 = $909.5 less than the actual fees.
Everytime we switch 1 children ticket to an adult ticket, the gap goes down 6.60 - 1.25 = 5.35
For example, if 341 tickets were children tickets, and 1 is adult, the gap go from 909.5 to 904.15.
We do this until the gap becomes 0... So, there are 909.5 : 5.35 = 170 adult tickets
And there are 342 - 170 = 172 children tickets
Recheck : 172 x 1.25 + 170 x 6.6 = 215 + 1122 = 1337.
A cylindrical rain barrel has a radius of 2 feet and holds a total of 30 cubic feet of water. How tall is the rain barrel? Use 3. 14 for pi. Round your answer to the nearest hundredth. 1. 58 ft 2. 39 ft 3. 57 ft 4. 78 ft.
Answers
the correct answer is 2.39 ft, which corresponds to option 2.
To determine the height of the cylindrical rain barrel, which has a radius of 2 feet and holds 30 cubic feet of water, we need to solve for the height using the given information and the formula for the volume of a cylinder. The answer choices provided are: 1. 58 ft, 2. 39 ft, 3. 57 ft, and 4. 78 ft.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we are given the radius as 2 feet and the volume as 30 cubic feet.
Substituting the given values into the formula, we have:
30 = 3.14 * 2² * h
Simplifying the equation:
30 = 12.56 * h
h = 30 / 12.56
h ≈ 2.39 ft
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prove that 1·1!+2·2!+···+n·n!=(n+1)!−1 whenever n is a positive integer.
Answers
The statement holds for n=k+1.
By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.
What are integers?
Integers are a set of numbers that include whole numbers (positive, negative, or zero) as well as their opposites.
We will use mathematical induction to prove the statement.
Base case: Let n=1. Then the left-hand side of the equation is 1·1!=1 and the right-hand side is (1+1)!=2!-1=1. Therefore, the statement holds for n=1.
Induction hypothesis: Assume that the statement holds for some positive integer k, i.e., 1·1!+2·2!+···+k·k!=(k+1)!−1.
Inductive step: We need to show that the statement also holds for k+1, i.e., 1·1!+2·2!+···+(k+1)·(k+1)!=(k+2)!−1.
We have:
1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+(k+1)!−1+(k+1)·(k+1)!=k!(k+1+1)+(k+2)!−1=(k+1)!(k+2)−1=(k+2)!−1,
where we have used the induction hypothesis in the second step and simplified in the fourth step.
Therefore, the statement holds for n=k+1.
By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.
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a relief fund is set up to collect donations. a random sample of 400 people shows that 28% of those 200 who were contacted by telephone actually made contributions compared to only 18% of the 200 who received mail requests. is there a difference between the proportions of people who make donations when contacted by telephone or mail? use the 0.05 level of significance
Answers
At the 0.05 significance level,
the lower limit of confidence interval is approx. 0.018 and upper limit of confidence interval is approx.0.182...
A relief fund is set up to collect donations.
first Sample size, n₁ = 200
Second sample, n₂ = 200
28% of those 200 people's who contacted by telephone , p₁-cap = 28% = 0.28
18% of the 200 who received mail requests, p₂-cap = 0.18
significance level, α = 0.05
S.E for difference between proportions
= √(p₁-cap(1-(p₁-cap))/n₁ + p₂-cap(1-(p₂-cap))/n₂)
= √0.28(1-0.28)/200 + 0.18(1-0.18)/200
= √0.28(0.72)/200 + 0.18(0.82)/200
= 0.04178 ~ 0.0418
the z-value for significance level 0.05, Zα/2 = Z₀.₀₂₅ = 1.96 (from Z-table)
Margin of error = α/2 ( S.Eₚ₁ ₋ₚ₂)
= 1.96× 0.0418 = 0.08189
CI is given by (p₁-cap - p₂-cap) +- Zα/2 ( S.E )
Lower limit = (0.28-0.18)+ 0.08189
=0.01818 ~ 0.018
Upper limit = (0.28-0.18) - 0.08189
= 0.18189~0.182
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Determine the number of moles of air present in 1. 35 L at 750 torr and 17. 0°C. Ideal Gas Law formula: PV = nRT(R = 62. 396 L•torr/mol•K) Which equation should you use? P equals StartFraction n R T over V EndFraction. N equals StartFraction R T over P V EndFraction. N equals StartFraction P V over R T EndFraction. What is the number of moles present? mol.
Answers
The number of mole of air present is 0.056 mole
Data obtained from the question Volume = 1.35 LPressure (P) = 750 torr Temperature (T) = 17 °C = 17 + 273 = 290 KGas constant (R) = 62.396 L•torr/mol•KNumber of mole (n) = ?How to determine the number of moleThe number of mole present can be obtained by using the ideal gas equation as illustrated below:
PV = nRT
Divide both side by RT
n = PV / RT
n = (750 × 1.35) / (62.396 × 290)
n = 0.056 mole
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Answer:
the answer on edge is c
Step-by-step explanation:
edge 2022
please answer this question
Answers
Answer:
B
Step-by-step explanation:
sum of the interior angles of a triangle is 180
180-(75+70+?)=35
∆ABC~∆DEF area of triangle abc is 64cm² and area of triangle DEF is 9cm². if AB is 16cm what is De?
Answers
In this solution, we assume that the given sides of ∆ABC and ∆DEF correspond to each other. So, the side DE is equal to 6 cm.
Since ∆ABC ~ ∆DEF, the corresponding sides of the triangles are proportional to each other, from that the following proportion can be done:
AB/DE = BC/EF
By substituting the given values, we get:
16/DE = √(64/9)
To simplify the equation, we have to square both the sides:
(16/DE)² = 64/9
By Cross-multiplying, we get:
256 = 64(DE)²/9
By simplifying further, we have:
(DE)² = (256 × 9)/64
(DE)² = 36
By taking the square root of both sides, we get:
DE = √36
DE = 6 cm
Therefore, the DE is equal to 6 cm.
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two numeric variables x and y exhibit a negative correlation if a. the value of y tends to decrease as the value of x decreases. b. the value of y tends to increase as the value of x decreases. c. the value of y tends to increase as the value of x increases. d. the values of x and y always have the same difference.
Answers
If x and y are two numerical variables, they will have a negative correlation. As the value of x declines, the value of y tends to do the same.
Statistics uses the terms correlation or dependency to describe any statistical relationship between two random variables or bivariate data, regardless of whether it is causal or not. When two variables are negatively correlated, one drops when the other grows.Therefore, if the value of x decreases, the value of y will decrease as well.A negative correlation between x and y means that when x increases, y decreases, and when x decreases, y also decreases. This is expressed by the formula y = -x.
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Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of her swimming pool is 8 feet and the length is 10 feet. If she has enough wood to build a deck that is 280ft, how wide can she make the deck?
Answers
Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
\(P = 2(l + w)\)
In this problem:
She has enough wood to build a deck that is 280ft, hence P = 280.The length is of 10 feet, hence l = 10.Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.Then:
\(P = 2(l + w)\)
\(280 = 2(10 + 8 + w)\)
\(36 + 2w = 280\)
\(2w = 244\)
\(w = \frac{144}{2}\)
\(w = 122\)
She can make a deck of 122 ft wide.
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determine which equations have the same solution set as startfraction 2 over 3 endfraction minus x plus startfraction 1 over 6 endfraction equals 6 x. – x
Answers
The equation 2/3 - x + 1/6 = 6x - x has the same solution set as the equation x = 5/36.
To determine which equations have the same solution set as the given equation, let's simplify and rearrange the terms.
Starting with the given equation:
2/3 - x + 1/6 = 6x - x
We can simplify the left side by finding a common denominator for 2/3 and 1/6, which is 6:
(4/6) - x + (1/6) = 6x - x
Combining like terms on the left side gives us:
(5/6) - x = 6x - x
Further simplifying, we can combine the x terms on the right side:
(5/6) - x = 5x
To isolate the x term on one side, we can add x to both sides:
(5/6) = 6x
Next, we can divide both sides by 6 to solve for x:
5/36 = x
Therefore, the equation 2/3 - x + 1/6 = 6x - x has the same solution set as the equation x = 5/36. Any equation that simplifies and rearranges to x = 5/36 will also have the same solution set as the given equation.
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What must be added to -9.46 to yield 7.489?
Answers
Let the number to be added = x
so the equation will be
-9.46+x=7.489
x=7.489+9.46
as the sign changes on the other side of the equals sign
x=16.949
To check: -9.46+16.949
=7.486
So the number to be added is 16.949
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Determine the number of solutions to the system of linear equations shown on the graph.
Answers
Answer:
Step-by-step explanation:
If desalinated water costs $ 2100 per acre-foot, how much does desalinated water cost per liter? ΑΣφ ? $/L Request Answer Submit Part B How much would it cost one household per day if it were the only source of water?
Answers
The cost of desalinated water is approximately $0.00513 per liter.
To calculate the cost of desalinated water per liter, we need to convert the cost from acre-feet to liters and then divide it by the total volume.
1 acre-foot is equal to 1233.48 cubic meters or 1,233,480 liters. Therefore, if desalinated water costs $2100 per acre-foot, the cost per liter can be calculated as follows:
Cost per liter = Cost per acre-foot / Volume in liters
Cost per liter = $2100 / 1,233,480 liters
Cost per liter ≈ $0.00513
For Part B, we need additional information about the water consumption of the household per day to calculate the cost.
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If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
Answers
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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a raffle for a charity fund-raiser is being planned. each of 2000 raffle tickets will be sold for $1.00 . the holders of 32 winning tickets will each win a prize. the table shows the prize values and the number of prizes for each value. prize value number of prizes $25 20 $50 10 $300 2 the random variable w represents the value of the prize won for a single ticket minus the cost of the ticket. what is the expected value of w ?
Answers
The expected value 'w' for the total raffle tickets sold for $1.00 with other conditions is equal to $0.784.
Number of raffle tickets sold for $1.00 = 2000
Expected value of w is ,
= Expected value of the prize won - cost of a single ticket $1.00
The probability of winning a $25 prize is
= 20/2000
= 0.01.
The expected value of winning this prize is equal to
= (25 - 1) × 0.01
= 0.24
The probability of winning a $50 prize is
= 10/2000
= 0.005.
The expected value of winning this prize is equal to
= (50 - 1) × 0.005
= 0.245
The probability of winning a $300 prize is
= 2/2000
= 0.001.
The expected value of winning this prize is,
= (300 - 1) × 0.001
= 0.299
This implies,
The expected value of w is equal to
= 0.24 + 0.245 + 0.299
= 0.784
Therefore, the expected value of winning a prize minus the cost of the ticket is $0.784.
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24 is 96% of what number?
Answers
Answer: 24 is 96% of 25.
Step-by-step explanation: You can apply the rule of three in order to answer this question. If 24 represents 96%, you can put this as 24/96. Then, use x as the value that represents 100%, you can put it as x/100. Order the data in a way you can cross multiply them; 24/96 = x/100. The answer is x = 25.
Each time Cheryl runs, she runs 3miles. She rides her bike only on Saturday’s and always for 10miles. She exercises the same amount each week. She rides and runs for a total of 22 miles in a week.
Write an equation that can be used to find out how many times, X, Cheryl goes running each week.
Answers
Answer: 6
Step-by-step explanation: 22 / 6 = 3.6666666666666666666666666667
Based on the information given, the equation will be 3x + 10y = 22.
How to solve and equation:Let the number of times she walks be x.
Let the number of times she rides be y.
Since she runs 3miles, therefore, from the information given, the equation will be 3x + 10y = 22.
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What is the scientific notation for .000472
Answers
Answer:
The scientific notation for 0.000472 is 4.72 * \(10^{-4}\).
a washing machine can hold 3/4 kg of laundry in each load. if randy has . 6 kilograms of laundry, how many loads does he need to do? 5 6 7 d8
Answers
Randy needs 8 loads.
To find the answer on the question we have to follow the method of multiplication and division .
A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.
\(\frac{3}{4}\) kg of laundry is equal to 1 load.
\(\frac{3}{4}\) kg of laundry = 1 load
1 kg of laundry = \(\frac{1 * 4}{3}\) load ( following the method of division )
1 kg of laundry = \(\frac{4}{3}\) load
Randy has 6kg of laundry.
So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.
6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)
= 8 loads
Hence, Randy needs 8 loads.
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what is the location of all the numbers??
Answers
Answer:
Item 1: -3,3.5
Item 2: -3,1
Item 3: -1,-2.5
Item 4: 2.25,-1
Answer:
item 1. (3,3.5 )
item 2. ( 3, 1 )
item 3. (-1 , -2.5)
item 4. ( 2 , -1 )
Step-by-step explanation:
Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answers
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
what is the word for:
The solid, liquid, or gas through which sound travels:
Answers
Answer:
I believe your answer would be Soundis
Answer:
A material through which sound waves can travel is called a medium.