Answer
A = 24.96 yd^2
Step-by-step explanation:
We need to find the area of the room
Area is length times width
A = lw
We know the length is 5.2 yds and the width is 4.8
A = 5.2 * 4.8
A = 24.96 yd^2
There are 60 sixth graders, 50 seventh graders, and 70 eighth graders at your school. Every student gets entered in a raffle. What is the probability that an eighth-grade student will win the raffle?
Po has a frame that is 9 in x 8 in. What is the maximum area the picture can have to fit in the frame? A) 63 sq in B) 72 sq in C) 81 sq in D) 96 sq in
Answer:
B) 72 sq in
Step-by-step explanation:
The maximum size of the picture that can fit into the frame must be equivalent to the area of the shape. Given that the frame is 9 in x 8 in, it may be safe to conclude that the frame is a 4 sides plane shape, a rectangle.
The area of a rectangle is given as the product of it's length and breadth, which are 9 in and 8 in respectively. Hence, maximum area the picture can have to fit in the frame
= 9 in * 8 in
= 72 sq in
Simplfy the expression: (x - 9)^2
How can I find the measurements for this questions?
99 POINTS! NEED HELP ASAP! WILL GIVE BRAINLIEST ANSWER!
Jenny is baking three dozen cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 36 will fit inside of the container.
Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for
Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for [tex] use 3.14 for \pi
use this equation for Parts B and A[/tex]
Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.
Alright to solve it
Part A)
C = 1.5
F =1
You will need to solve it for volume= length times width and times height
3.14 x 1^2 x 1.5
The answer you will get is 5 in^3
Part B) Just do the same proccess as i did on the first one
CV= 192 in^3
Part C)
C=36x5in^3
So this is going to be 180 in^3 because is the less volume.
Hope this helps
Tobey
What is the factored form of 6x2 + 13x + 6? (x + 4)(x + 9) (2x + 3)(3x + 2) (2x + 6)(3x + 1) (6x + 1)(6x + 1)?
Answer: B
Step-by-step explanation:
just did on edge
Solve 5kx + 6 = 7kx for x
Cylinder a has a radius of 6 cm. Cylinder b has the same height and a radius half as long as cylinder a. What fraction of the volume of cylinder a is the volume of cylinder b what fraction of the volume of cylinder is the volume of cylinder? Explain.
Answer:
the answer is 1/4
Step-by-step explanation:
The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is a quadratic equation the represents the area of the screen? What are the dimensions of the screen?
Final Answer:
Quadratic equation: [tex]\( x^2 + 24x - 3456 = 0 \)[/tex]
Dimensions: Length = 48 inches, Width = 72 inches
Explanation:
To find the quadratic equation representing the area of the screen, we first need to express the area as a product of its length (L) and width (W). Given that the width is 24 inches longer than the length, we can represent the width as [tex]\( L + 24 \)[/tex]. Thus, the equation becomes [tex]\( L \times (L + 24) = 3456 \)[/tex], which simplifies to the quadratic equation [tex]\( x^2 + 24x - 3456 = 0 \)[/tex], where x represents the length of the screen. Solving this equation yields the length x as 48 inches. Substituting this value back into [tex]\( L + 24 \)[/tex] gives the width as 72 inches. Therefore, the dimensions of the screen are 48 inches by 72 inches.
The sequence an= 27(1/3)^n-1 is graphed below. find the average rate of change between n=2 and n=4
A. - 1/4
B. 1/4
C. -4
D. 4
Find the area of the figure.
A farmer can buy two types of plant food, mix a and mix
b. each cubic yard of mix a contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. each cubic yard of mix b contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. the minimum monthly requirements are 440 pounds of phosphoric acid, 990 pounds of nitrogen, and 200 pounds of potash. if mix a costs $20 per cubic yard and mix b costs $30 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? what is this cost?
To find the minimum cost of blending the plant food mixes, set up a system of equations to calculate the quantities of each mix needed. Solve the equations to find the values of x and y, then calculate the cost using the mix prices.
Explanation:To find the minimum cost of blending the plant food mixes, we need to set up a system of equations and solve for the quantities of each mix needed. Let's let x be the number of cubic yards of mix a and y be the number of cubic yards of mix b that the farmer needs.
The total pounds of phosphoric acid required from mix a and mix b should equal the minimum monthly requirement of 440 pounds. This gives us the equation: 20x + 10y = 440.
The total pounds of nitrogen required from mix a and mix b should equal the minimum monthly requirement of 990 pounds. This gives us the equation: 30x + 30y = 990.
The total pounds of potash required from mix a and mix b should equal the minimum monthly requirement of 200 pounds. This gives us the equation: 5x + 10y = 200.
Solving this system of equations will give us the values of x and y. Once we have these values, we can calculate the cost by multiplying the quantity of each mix by their respective prices and adding them together.
If you see these clouds in the sky, which type of weather might you expect?
(Points : 3)
fog
no precipitation
heavy rain or snow
thunderstorms
An ice-cream shop sold 2.87 gallons of rocky road ice cream yesterday. The shop sold 0.449 gallons of rocky road ice cream today. What was the total amount of Rocky Road ice cream sold yesterday and today? Enter your answer, as a decimal, in the box.
PLEASE HELP ME! 50 POINTS IF YOU GET IT RIGHT!!
Darren flipped a quarter 40 times. The quarter landed on heads 65% of the time. How many times did the quarter land on tails ?
A 14
B 26
C 35
D 65
In the problem · N = 1, N must be _____. the additive inverse of the multiplicative inverse of the additive identity the multiplicative identity NEXT
The value N as shown in the question must be the multiplicative identity.
Multiplicative identityThe term multiplicative identity refers to that with which a number is multiplied and the result remains that number. Multiplying a number by its multiplicative identity returns the same value.
Therefore, the the problem, we can see that the value N as shown in the question must be the multiplicative identity.
Learn more about multiplicative identity: https://brainly.com/question/514731
Answer: the multiplicative inverse of 3/4
Step-by-step explanation: its right :)
Suppose the probability that a randomly selected man, aged 55-59, will die of cancer during the course of the year is startfraction 300 over 100 comma 000 endfraction 300 100,000. how would you find the probability that at least 1 man out of 1,000 of this age will die of cancer during the course of the year?
Final answer:
To assess the likelihood of at least one cancer death among 1,000 men, calculate the probability none die and subtract from one. The actuarially fair premiums for men with and without family cancer history are different, but when combined for the whole group, there's a risk of adverse selection affecting the company.
Explanation:
To find the probability that at least one man out of 1,000 aged 55-59 will die of cancer in a year, given that the probability for any one man is 300/100,000, we first find the probability that no man dies of cancer and then subtract this from 1 (the certainty). The probability that a randomly chosen man will not die from cancer in the year is 1 - 300/100,000 = 99,700/100,000.
The probability that all 1,000 men do not die of cancer is (99,700/100,000)^1,000. Subtracting this from 1 gives us the probability that at least one man out of 1,000 will die of cancer in the year:
1 - (99,700/100,000)^1,000
For the life insurance question, to calculate the actuarially fair premium for each group, we use the probability of death and expected payout. For the group with family history (20% of 1,000 men), the probability is 1/50, and for the group without (80% of 1,000 men), it's 1/200. Thus, the premiums would be:
Group with history: (1/50) * $100,000 = $2,000Group without history: (1/200) * $100,000 = $500An actuarially fair premium for the group as a whole requires weighted averaging:
Premium whole group = (20% * $2,000) + (80% * $500) = $400 + $400 = $800
If the company charges this combined premium, it faces adverse selection; higher-risk individuals are more likely to purchase insurance, driving costs up.
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A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w+4, and the height of the bag is 18-w (which is greater than the width). What are the dimensions of the bag?
Final answer:
In this high school math question, you will solve for the dimensions of a gift bag shaped like a rectangular prism using the given volume and expressions for width, length, and height.
Explanation:
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. In this case, the volume of the gift bag is 1152 cubic inches, so we have 1152 = w(2w+4)(18-w).
Solving this equation leads to w = 8, which means the width is 8 inches, length is 20 inches, and height is 10 inches.
Therefore, the dimensions of the gift bag are 8 inches width, 20 inches length, and 10 inches height.
SHIFT 2: 18 25 56 42 29 38 54 47 35 30. SHIFT 2: 23 19 50 49 67 34 30 59 40 33. SHIFT 3: 19 22 24 40 45 29 33 29 39 59. SHIFT 4: 21 23 25 40 35 19 70 40 22 23. The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean closest to the population mean?
x + y = 21 3y + x = 19 Which value of x is part of a solution to this system of equations?
Final answer:
The value of x that is part of a solution to this system of equations is 22.
Explanation:
To find the value of x in the system of equations:
x + y = 213y + x = 19We can use the method of elimination or substitution. Let's use substitution for this example:
Solve the first equation for y: y = 21 - x.Substitute the expression for y into the second equation: 3(21 - x) + x = 19.Simplify and solve for x: 63 - 3x + x = 19.Combine like terms: 63 - 2x = 19.Subtract 63 from both sides: -2x = -44.Divide by -2: x = 22.Thus, the value of x that is part of a solution to this system of equations is 22.
How do you simplify (t^2 over 3)^5 ?
an architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house?
Answer:
The answer above me is correct
Step-by-step explanation:
Cause he big brain
Solve these simultaneous equations:
5x+2y=24 and 4x+3y=10
To solve the simultaneous equations 5x+2y=24 and 4x+3y=10, we use the elimination method, leading to a solution of x = 7.43 and y = -6.575.
To solve the simultaneous equations 5x+2y=24 and 4x+3y=10, we can use the method of elimination or substitution. Here, we will solve it using the elimination method.
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of y equal in magnitude. This gives us 15x + 6y = 72 and 8x + 6y = 20.
Subtract the second new equation from the first to eliminate y. This gives 7x = 52.
Divide by 7 to solve for x, which gives x = 52 / 7 or x = 7.43 (approximately).
Substitute x = 7.43 back into one of the original equations to solve for y. Using the first equation, 5(7.43) + 2y = 24, we get 2y = 24 - 37.15, which simplifies to 2y = -13.15, and finally y = -6.575.
Therefore, the solution to the simultaneous equations is x = 7.43 and y = -6.575.
Which expressions is not a polynomial
A. z + 1
B. 2x^4 - y
C. 6 + w
D. y^2 - ^3√y + 4
12 is 0.3% of what number?
Answer:
4,000
Step-by-step explanation:
Which of the six trigonometric functions do not depend on the value of r?
A jar contains 3 red, 4 blue, and 2 white marbles. What is the probability that a marble drawn at random is not red?
Answer:
Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Given : A jar contains 3 red, 4 blue, and 2 white marbles.
To find : What is the probability that a marble drawn at random is not red.
Solution : We have given that
Red marbles = 3.
White marbles = 2.
Blue marbles = 4
Total marbles = 9
Marbles that are not red = white + blue =2+4 = 6.
Probability that a marble drawn at random is not red = [tex]\frac{Number\ of\ marbles\ not\ red}{Total\ that\ number\ of\ marbles}[/tex].
Probability that a marble drawn at random is not red = [tex]\frac{6}{9}[/tex].
Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].
Therefore, Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].
There are 18 girls and 12 boys in class. What is the probability that a new kid in senior class will be a boy?
How will buying auto insurance help you?