Final answer:
The area per person served by a 12-inch quiche, it was determined that a 10-inch quiche can indeed feed 4 people with the same serving size, as the area available per person in the 10-inch quiche is sufficient.
Explanation:
To determine whether a quiche with a diameter of 10 inches can feed 4 people at the same serving size as a 12-inch quiche that feeds 6 people, we need to compare the areas of the two quiches. The area of a circle is calculated using the formula A = πr² where A is the area and r is the radius. Since the radius is half of the diameter, the 12-inch quiche has a radius of 6 inches and the 10-inch quiche has a radius of 5 inches.
For the 12-inch quiche:
A12 = π(6²) = 36π
For the 10-inch quiche:
A10 = π(5²) = 25π
So, the 12-inch quiche has an area of 36π square inches and the 10-inch quiche has an area of 25π square inches. To find out if the smaller quiche can serve 4 people, we calculate the area per person for the larger quiche: 36π/6 = 6π square inches per person.
Now, we check to see if the 10-inch quiche provides at least that much area for 4 people: 25π/4 ≈ 6.25π square inches per person. Since 6.25π is greater than 6π, we can conclude the 10-inch quiche can indeed feed 4 people with the same serving size as the 12-inch quiche fed 6 people.
Please help with this one
Which word completely describes the rhombus?
A.equilateral
B.equiangular
C.regular
Find the orthocenter of ABC
Answer:
(7,3)
Step-by-step explanation:
based on your schedule having a car will cut your transportation costs enough to squeeze in a 4-Hour shift each weekend at the fast food store paying $9 per hour your estimate that the car will cost you $100 per week to own and operate your take home pay will be 70% of your gross pay it is it worth it to get the car
A sweater is marked down $25 to $19 what is the percent of change
To solve the problem we must know about Percentage.
PercentageA percentage is a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex] can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given to us
A sweater is marked down $25 to $19AssumptionLet the x% be the remaining amount.
Remaining Amountx% of $25 = $19
[tex]\dfrac{x}{100} \times \$25 = \$19\\\\\dfrac{x}{100} \times 25 = 19\\\\\dfrac{x}{4} = 19\\\\x = 19\times 4\\x = 76[/tex]
Thus, $19 is 76% of $25.
Percent of changethe percent of change = Orignal percentage - final percentage
= 100% - 76%
= 24%
Hence, the percentage change is 24%.
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(c) Mrs. Dewalt looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
A theater has 28 rows of 38 seats downstairs and 24 rows of 26 seats upstairs. How many seats does he theater have?
multiply rows by seats for each section then add them
28*38 = 1064
24*26 = 624
1064 + 624 =1688 total seats
Set up the equation
The product of a number(variable) and 4 increased by 16 is -2
what is the multiplicative inverse of the the fraction 2/7
A. -7/2
B. 0
C. 1
D.7/2
Answer:
D.}7/2
Step-by-step explanation:
I took the test on time4learning in 2022 and got it right hope I helped and more importantly I hope you passed byee!!
Timothy recorded the monthly change in his savings account balance, in dollars, for 8 months. Month January February March April May June July August Balance Change (dollars) −30 −15 55 40 −20 −45 −10 65 What is the average monthly change in Timothy's savings account balance? Enter your answer in the box.
Answer:
5
Step-by-step explanation:
took the test
The weight of an elephant is 1000 times the weight of a cat if the elephant weighs 14,000 pound how many pounds does the cat weight
There were 15 apples in a bowls.dan used some apples to make a pie. Now there are 7apple in the bowl. How many Apple did dan use?
Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of notes will Brennan have in his notebook? Assume the relationship is directly proportional.
a football team lost 4yards on each of 2 plays,gained 14 yards on the thrid play and lost 5 yards on the fourth play.
Identify the corresponding word problem given the equation: x + 5 = 15 A) Billy is ten years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old, how old is Jenny? C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old, how old is Jenny?
Answer:
C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny?
Step-by-step explanation:
Which function represents the graph of y=10(4)x ?
f
g
h
j
Hence the the function that represents the graph of the given function is:
g
step-by-step-explanation:We are given graphs of four function.
f,g,h and j and we are asked to find which of the following given four graphs represents the graph of the function:
[tex]y=10\times 4^x[/tex]
Clearly when x=0 we see that the function gives the value.
[tex]y=10\times 4^0\\\\y=10\times 1\\\\y=10[/tex]
Hence when x=0 the graph of the function must pass through 10. i.e. the graph of the function passes through the point (0,10).
Hence the the function that represents the graph of the given function is:
g
what percentage is equal to 2/5?
a slab or ribs at the butcher costs $4.55 per pound how much will it cost if you buy 3.5 pounds of ribs round to the nearest penny
sec theta = 11/4, cot theta < 0
Find a counterexample. If two lines are parallel, then they do not intersect. A. If two lines do not intersect, they could be skew. B. If two lines are parallel, they may intersect twice. C. If two lines are parallel, they intersect once. D. The statement is true. There is no counterexample.
Answer:
The answer would be D.
Step-by-step explanation:
The statement is true. There is no counterexample. Parallel lines never intersect because they are parallel to each other. So, it is impossible for parallel lines to intersect. Hope that answers your question.
A counterexample is an example that is against or opposite the theory. They disapprove of the generalization. In math's counterexample is used to slightly abuse and refers to the example which shows the need to fully hypothesize a theorem.
Such as all prime numbers are odd numbers as number 2 is a prime number but is an even number hence contradictory. As parallel lines are always at the same distance apart and never intersect.Hence the correct option is B. If two lines are parallel, they may intersect twice.
Learn more about the find a counterexample.
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which expression is the same as 2(n+7)
Jon has -8 dollars in his account then adds 12 dollars, how much does he have now?
What does zero represent in your story problem?
Jungkook walks 3 1/2 miles in 1 1/4 hours, what is the unit rate? I also want to know how do you find the unit rate?
2.8 miles an hour
but legit the name ksksksksks-
When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match.
Part 1: Who do you believe has the correct solution for the group assignment—Jenny or Jeremy? In two or more complete sentences, explain, in mathematical terms, the reasoning behind your conjecture.
Part 2: Use long division to convert the fraction provided in each of the student's answers to a decimal number. Include all of your calculations in your final answer.
Part 3: Using complete sentences, compare your conjecture in Part 1 with your results in Part 2. Was your conjecture correct or incorrect?
Which would most likely be graphed using a continuous graph? Check all that apply.
A. total cost, c, of buying b cans of beans
B. total cost, c, of buying g pounds of broccoli
C. speed of a car, s, as it accelerates over time, t
D. number of stamps, s, needed to mail p postcards
E. total distance, d, that has been driven over time, t
F. decrease in outside temperature, F, one evening over time, t
The example that would most likely be graphed using a continuous graph is B, C, E, and F.
What is Discrete and Continuous?Discrete refers to something that cannot be divided into fractions or decimals. People are an example; you cannot have half a person. We commonly say that distinct items can be numbered.
Continuous is anything that can and must be divided into fractions and decimals. We can measure continuous circumstances, which are called to be measured. Height is an illustration of this.
Now in the given list of examples, the data that is continuous will have a continuous graph. Therefore, the data can be sorted as,
A. total cost, c, of buying b cans of beans
The given example is discrete because you can not buy a half can.
B. Total cost, c, of buying g pounds of broccoli
The given data is continuous because pounds of broccoli can be in decimal form.
C. Speed of a car, s, as it accelerates over time, t
The given data is continuous because the time period can be in decimal form.
D.The number of stamps, s, needed to mail p postcards.
The given example is discrete because you can mail a half postcard.
E. total distance, d, that has been driven over time, t.
The given data is continuous because the time period can be in decimal form.
F. decrease in outside temperature, F, one evening over time, t.
The given data is continuous because the temperature can be in decimal form.
Hence, the example that would most likely be graphed using a continuous graph is B, C, E, and F.
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Show me one way to count from $82 to $512
Product a is an 8 oz bottle of cough medication that sells for a $1.36 product B is a 16oz bottle of cough medication that costs $3.20 which product has the lower unit price
The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.
The total amount of energy produced by the sun in a year will be 11.78 × 10³⁴ joules.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The total amount of energy produced by the sun in a year can be calculated by multiplying the sun's energy production per second by the number of seconds in a year.
3.8 × 10²⁷ joules/second × 31,000,000 seconds/year
To express this in scientific notation, we can rewrite the number using powers of 10.
3.8 × 10²⁷ × 3.1 × 10⁷
11.78 × 10³⁴ joules
In this expression, the coefficient (11.78 ) is the number of units of energy produced, and the exponent (34) tells us the magnitude of the number. The exponent is based on the base of 10, so the number is 10 to the power of 34 or 1 followed by 34 zeros. This is a very large number and helps to give us a sense of the scale of energy production by the sun.
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Three different hoses, each with its own pump, can be used to fill a swimming pool. If hose A is used by itself, the pool takes 6 h to fill. Is hose B is used by itself, the pool takes 3 h to fill. If hose C is used by itself, the pool takes 2 h to fill. If all three hoses are used at the same time, how long does the pool take to fill?
[HELP!] Your friend competes in a high jump competition at a track meet. The function h= -16t + 18t models the height h (in feet) of your friend after t seconds. After how many seconds is your friend at a height of 4? How many seconds will it take your friend to land on the ground? (Show work please! ^^)