Ariel and her family are going to order one large circular pizza that has a diameter of 20 inches and one small circular pizza that has a diameter of 12 inches. Which measurement is closest to the difference between the area of the large pizza and the area of the small pizza in square inches? *
5 points
804 in. squared
427 in. squared
314 in. squared
201 in. squared

Answers

Answer 1
Final answer:

To calculate the difference in area between two circular pizzas, first compute the area of each using the formula A = πr². After finding the areas, subtract the smaller area from the larger one to find the difference. The result is approximately 201 square inches.

Explanation:

The question involves calculating the area of two circles and finding the difference between the two. First, we need to find the radius of each pizza. Since the diameter is twice the radius, the large pizza has a radius of 10 inches (20 inches divided by 2), and the small pizza has a radius of 6 inches (12 inches divided by 2). The area of a circle is calculated using the formula A = πr², where π is approximately 3.14159, and r is the radius.

The area of the large pizza is A = π(10 inches)² = π * 100 inches² = 314.16 inches² (rounded to two decimal places). The area of the small pizza is A = π(6 inches)² = π * 36 inches² = 113.10 inches² (rounded to two decimal places). To find the difference, we subtract the area of the small pizza from the area of the large pizza, which gives us 314.16 inches² - 113.10 inches² = 201.06 inches², which is closest to 201 inches².


Related Questions

Locate the y-intercept for the graph of the linear function, and for the equation of the linear function. Which has a larger y-intercept
y=-3/2x- 1/2
A. The graph has a larger y-intercept
B. the equation has a larger y-intercept
C. The y-intercepts are equal

Answers

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

y = -3/2x - 1/2

b = -1/2      

To locate the y-intercept on the graph, find the point where the line crosses through the y-axis or the y-value when x = 0

I can't see the graph but hopefully this information helps you find the answer

Answer:

It’s A. The graph has a larger y/intercept.

Step-by-step explanation:

f y = x2 − 2x, which ordered pair gives the location for one of the points on the graph?

Answers

Answer: C) (-3,15)

Step-by-step explanation:

Just did USATestPrep and that is the order pair that gives u one of the points on the graph if y= x^2 - 2x

At the end of summer, Spencer's favorite toy store had a huge sale. Spencer picked out a remote–control car on sale for 20% off the original price of $79.99. He also picked out a robot for 25% off the original price of $99.99. How much money did Spencer save?

Answers

Answer:

he saved $40

Step-by-step explanation:

The required money saved by spencer at the end of the summer sale is $40.98.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Spencer picked out a remote–control car on sale for 20% off the original price of $79.99.
He also picked out a robot for 25% off the original price of $99.99.

Money saved by spencer = 0.2 × 79.99 + 0.25 × 99.99
                                       = 15.99 + 24.99
                                       = $40.98

Thus, the required money saved by spencer at the end of the summer sale is $40.98.

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Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's. He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays. How many total miles does Michael walk his dogs each week?

Answers

Answer:

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Step-by-step explanation:

Given;

Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's.

On four days = 1 2/3 = 5/3 miles per day

Total for the 4 days = 4 × 5/3 = 20/3 miles

He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays

On 3 days = 1/6 miles per day

Total for the 3 days = 3 × 1/6 = 3/6 miles

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Ava's aquarium is 95% filled with water. The tank holds 1,120 gallons of water. Select the remaining number of gallons of water needed to fill the aquarium to the top.

Answers

Answer:

The answer to your question is 56 gal

Step-by-step explanation:

Data

Percent filled = 95%

Total water can hold = 1120 gal

remaining water = ?

Process

1.- Calculate the 95% of 1120 gal

              1120 gal ------------------ 100%

                x           ------------------   95%

                      x = (95 x 1120) / 100

                      x = 106400 / 100

                      x = 1064 gal

2.- Calculate the remaining water by subtracting the previuos value to the total capacity.

Remaining water = 1120 - 1064

                             = 56 gal

Answer:

sgdggggggggggggsdfgfgfg

Step-by-step explanation:

The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did the number of calories increase?

Answers

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = [tex]\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100[/tex]

[tex]=\dfrac{300}{1500}\times100=20\%[/tex]

Hence , the number of calories increased by 20%.

Answer:

20%

Step-by-step explanation:

a 20 ounce bottle of lotion costs $3.95. how much does each ounce costs ?

Answers

Answer:

3.95 divided by 20 equals 0.1975

Each ounce costs $0.1975.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units. Hence this method aims at determining values in relation to a single unit.

Given here, a 20 ounce bottle and it costs $3.95

1 ounce of lotion would cost  $3.95 / 20= $0.1975.

Hence, Each ounce costs $0.1975.

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Let the random variable X represent the winnings at one play of game A. The mean, H. Of X is known to be -$0.42 and its standard deviation, o, is $0.26. Let the random variable Y represent the winnings at one play of game B. The mean, , of Y is known to be -$0.42 and its standard deviation, o, is $0.21. You have decided to play one of these two games just once. At which game are you more likely to make a profit (i.E., to not lose money)? Explain your thinking.

Answers

Answer:

345

Step-by-step explanation:

i know it not

Answer:

565$

Step-by-step explanation:

Y because he got more money

x + x + 3y how do I simplify?​

Answers

Answer:

2x + 3y

Step-by-step explanation:

I need help with summation notation. Look at picture

Answers

Answer:

[tex]=18[/tex]

Step-by-step explanation:

[tex]\sum _{j=1}^33j[/tex]

Apply the constant multiplication rule:

[tex]=3\cdot \sum _{j=1}^3j[/tex]

[tex]\sum _{j=1}^3j[/tex]

Apply sum formula:

[tex]=\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]

[tex]\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]

[tex]=3\cdot \:4\cdot \frac{1}{2}\\[/tex]

[tex]=\frac{1\cdot \:3\cdot \:4}{2}[/tex]

[tex]=\frac{12}{2}[/tex]

[tex]=6[/tex]

[tex]=3\cdot \:6[/tex]

[tex]=18[/tex]

I don’t understand 1 2 and 3 please help

Answers

Answer:

1. 336 in3

2. 384 cm3

3. 336 m3

Step-by-step explanation:

im not positive but i think you just multiply the numbers and put the label as cubed

Ummmmmmmmmmmmmmmmmmmmm

A wheel with a diameter of 25 in. is in a puddle of water 8.1 in. deep. What is the width of the wheel, AB, at the surface of the water?

Answers

Answer:

AB = 23.4 inches

Step-by-step explanation:

If the diameter of the wheel is 25 inches, we have that its radius is 25/2 = 12.5 inches.

If we draw a radius to the bottom of the wheel and a radius to point A, we have a triangle where we can use Pythagoras' formula:

(see image attached for better understanding)

r^2 = (r-8.1)^2 + (AB/2)^2

12.5^2 = 4.4^2 + AB^2/4

156.25 = 19.36 + AB^2/4

AB^2/4 = 136.89

AB^2 = 547.56

AB = 23.4 inches

What is the volume of this rectangular prism?

A rectangular prism with a length of 6 and one-fourth foot, a width of 14 feet, and a height of 3 feet.
87 and one-half feet cubed a
131 and one-fourth feet cubed b
252 feet cubed c
262 and one-half feet cubed d
Mark this and return

Answers

Answer:

262 1/2 cubic feet

Step-by-step explanation:

The volume of a prism is (length)(width)(height).

Here we have

V = (6 1/4 ft)(14 ft)(3 ft)

Converting 6 1/4 ft to an improper fraction, we get 25/4.

Then the above product is V = (25 ft/4)(14 ft)(3 ft)  = 262 1/2 cubic feet

The volume of the rectangular prism is 262.5 cubic feet. Thus, the correct option is D.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

A rectangular prism with a length of 6 and one-fourth feet, a width of 14 feet, and a height of 3 feet. Then the volume of the rectangular prism is calculated as,

V = (6 + 1/4) x (14) x (3)

V = 25/4 x 42

V = 1050/4

V = 262 + 1/2 cubic feet

V = 262.5 cubic feet

Thus, the correct option is D.

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Which expression correctly represents "twice the sum of four and a number"?

Answers

Answer:

2(4+x)

Step-by-step explanation:

"Twice the sum of" tells us it will be the equation times two

"the sum of four and a number" is easy, thats 4 + x

The second number is x because the number is not specified so we need a place holder, x in this case, to tell us that the number is not given.

All this put together = twice the sum of four and a number, or 2(4+x)

Final answer:

The expression for "twice the sum of four and a number" is represented by 2(x + 4) or 2 * (x + 4), signifying that you first sum the number with four and then double the result.

Explanation:

The expression that correctly represents "twice the sum of four and a number" is 2(x + 4) or 2 * (x + 4), where x is the variable representing the unknown number. To arrive at this expression, you first find the sum of four and the number (x + 4) and then multiply the result by two to get twice this sum.

In this context, the word 'twice' is similar to triple as in triple the amount of money being three times as much. This operation is an example of simple addition, much like when two numbers are added in any order, such as 2 + 3 or 3 + 2, which illustrates the commutative property of addition.

A rectangle is 2 inches wide, and more than 2 inches long. It so happens that this rectangle can be divided, by a single cut, into a 2-inch square and a small rectangle that has exactly the same shape as the large rectangle. What is the length of the large rectangle

Answers

Answer:

6 in.

Step-by-step explanation:

The Length of the large rectangle is 2 units.

It is required to find the length of the large rectangle.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A rectangle is 2 inches wide, and more than 2 inches long.

According to given question we have,

Ratio of width to length of known rectangle is 2:4 this simplifies to 1:2

The smaller similar rectangle will have the same ratio. .i.e. 1:2

Since the width is 1 then the length will be 2.

.This can also be looked at another way. the second value in the ratio is

2:1 of the first value in the ratio and the first value is 1:2 of the second value.

So, Length of the large rectangle is 2 units.

Width of the large rectangle is 1 units.

Therefore, the Length of the large rectangle is 2 units.

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If n(U) = 360, n(A) = 240, n(B) = 160, find the maximum value of
n(AUB) and the minimum value of n(A n B). When will the value of
n(An B) be maximum and find its value.​

Answers

Answer:

here is answer

Step-by-step explanation:

n(AUB) = n(A) + n(B) - n(AnB )

= 240 + 160 - n(A n B)

= 400 - n(AnB )

Since n(AnB) 20, so n(AUB) S 400

But n(U) = 360, so n(A U B)* 360

.. the maximum value of n(AUB) = 360.

When n(A U B) is maximum, n(AnB) will be minimum.

.. min. value of n(An B)

= n(A) + n(B) - Max, value of n(AUB)

= 240 - 160 - 360 = 40

Again, n(

A B) will be maximum when B C A.

..the max. value of n(

A B) = n(B) = 160

Which measures are $1 greater for Group B than for Group A?
the median and the mode
the mean and the range
the mean and the median
the mode and the range

Answers

Answer: C

the mean and the median

Step-by-step explanation:

From the attached table,

The range of group A = 5 - 0 = 5

The range of group B = 4 - 1 = 3

Difference in range is not equal to $1

The mode of A = 1

The mode of B = 3

Difference in mode is not equal to $1

The median of A = (1 + 2)/2 = 1.5

The median of B = 3

Difference = 3 - 1.5 = $1.5

The mean of A = 16/15 = 1.07

The mean of B = 40/15 = 2.67

The difference = $1.6

From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A

The best option among the options is

the mean and the median

Answer:

the right answer is c. mean and the median

Step-by-step explanation:

because i took the test and got the answer right

*click image*

Hello! I’m currently in need of help on a assignment thank you so much if you help out I really appreciate you and your hard work and effort!!

Also if you can please show work! I don’t really want to get the answers incorrect sorry!

Answers

Answer:

142

Step-by-step explanation:

[tex]\frac{x+18}{5}=32[/tex]

Multiplying both sides by 5, you get:

x+18=160

Now, you can subtract 18 from both sides to get:

x=142

Hope this helps! Comment if this wasn't clear enough, or you need more explanation.

Answer: x=142

Step-by-step explanation:

x+18 / 5 = 32

first multiply both sides by 5

x + 18 = 160

then subtract 18 from both sides

x=142

The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.
How many roots of f(x) are rational numbers?

Answers

Answer:

B. 2

Step-by-step explanation:

egd. 2021

Answer:

B

Step-by-step explanation:

The roots of rational numbers is when you find the square root making it B

Chester has a coupon for 1/10 off the price of a shirt. If the shirt originally costs $28.70, what discount would chester recieve from using his coupon

Answers

Answer:

Chester would receive a discount of $2.87 on using the coupon.

Step-by-step explanation:

We are given the following in the question:

Original cost of shirt = $28.70

Discount =

[tex]\dfrac{1}{10}\text{ of the original price}[/tex]

We have to find the discount Chester would receive from using this coupon.

Discount amount =

[tex]=\dfrac{1}{10}\times \text{Original Price}\\\\=\dfrac{1}{10}\times 28.70\\\\=2.87[/tex]

Thus, Chester would receive a discount of $2.87 on using the coupon.

Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most?

Answers

Answer:

Alvin can't have more than 2 fishes on his tank.

Step-by-step explanation:

In order to calculate how many fish Alvin can have in his tank we first need to calculate the volume of the tank. A prism's volume is given by the following formula:

v = Abase*h

Therefore for Alvin's, we have:

v = 0.9*0.6 = 0.54 m³

Since he can't have more than 5 fish per cubic meter we can use a rule of three in a way that:

5 fish -> 1 m³

x fish -> 0.54 m³

5/x = 1/0.54

x = 0.54*5 = 2.7

Since he can't have a 0.7 fish and in order to mantain the density to the recommended level, he can't have more than 2 fishes.

2c+2=10
A.-4
B.3
C.5
D.4

Answers

Answer: 4

Step-by-step explanation: Subtract 2 on both sides, you get 2c=8 ... divide 2 on both sides. C = 4

Answer:

D 4

Step-by-step explanation:

2c+2=10

Subtract 2 from each side

2c+2-2=10-2

2c = 8

Divide each side by 2

2c/2 = 8/2

c =4

Check all that apply

Answers

Answer:

The first and last option.

Step-by-step explanation:

This is true because in the first chart, different y values correspond to different x values. In the other chart and option, the same y value corresponded to multiple x values - when this happens, it is not a function. This is why the first option is a function. In the last option, you gave an equation to a parabola. When graphed, the parabola opens downwards.  Only parabolas that open upwards or downwards are considered functions. Parabolas that open left or right are not considered parabolas. You can test whether or not a parabola is considered a function by conducting the "Vertical Line Test."

Answer:

To determine if they are functions or not, each y value needs to have only one x value. There should never be 2 values with the same x.

The first one is a function.

The second one is not a function because there are two coordinates that have -1.

The third on is not a function because there are two of them that have 0.

The fourth one is a function because when listing the inputs and outputs, there are different x values for each y value.

Hope this helps ;)

Identify the volume and surface area in terms of π of a sphere with a great circle area of 225π ft2
V = 900π ft3; S = 4500π ft2
V = 4500π ft3; S = 900π ft2
V = 300π ft3; S = 900π ft2
V = 900π ft3; S = 300π ft2

Answers

The answer is going to be v= 4500ft3;S=900ft2

Answer:

B (V = 4500π ft3; S = 900π ft2)

Step-by-step explanation:

If the great circle's area is 225pi, that makes the radius sqrt225 = 15

The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi

The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi

That makes the answer B (V = 4500π ft3; S = 900π ft2)

Use 3.14 for π. Round answer to the nearest tenth if necessary. A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume. (Enter a numerical answer only)

Answers

Answer:

V=1,125.1

Step-by-step explanation:

The equation for the volume of a cylinder is (V= πr^2h)

V= π(5.25)^2(13)

V= π(27.5625)(13)

V= π(358.3125)

V=1,125.10125

At the beginning of the year, Omar has $120 in his bank account. He deposits $24 each week.

How many weeks will it take for Omar to have $480 in his account?

A) 4

B) 5

C) 15

D) 20

E) 25

Answers

Answer:

15 weeks

Step-by-step explanation:

He deposits 24 each week, so 480-120 is 360. Then if you divide 360 by 24 to see how many weeks, it is 15.

Answer:

that will be 15

Step-by-step explanation:

Amanda is 3 years older than Brantley and Carlos is twice as old as Amanda. The sum of their ages is 57. How old is Amanda?

Answers

Answer:

15 years old

Step-by-step explanation:

Let's say Amanda's age is a, Brantley's age is b, and Carlos's age is c.

"Amanda is 3 years older than Brantley" means that a = 3 + b

"Carlos is twice as old as Amanda" means that c = 2 * a = 2a

"The sum of their ages is 57" means a + b + c = 57

We know that a = 3 + b, which can be written as b = a - 3. Substitute a - 3 in for b and 2a in for c in the equation a + b + c = 57 so that we have one variable to solve for:

a + b + c = 57

a + (a - 3) + 2a = 57

4a - 3 = 57

4a = 60

a = 15

Amanda is 15 years old.

Answer:

15

Step-by-step explanation:

A = B + 3

B = A - 3

C = 2A

A + B + C = 57

A + A - 3 + 2A = 57

4A - 3 = 57

4A = 60

A = 15

Help please I really need it

Answers

Answer:

402.705‬ cm^2

Step-by-step explanation:

pi * r^2 * h /3    ---> (Volume of a cone)

3.14* 4.5^2 * 19 /3 =

3.14 * 20.25*19/3 = 402.705

Answer:

it would be around  318.09 cubic centimetres in volume for the cone

Let x denote the sum of two distinct numbers selected randomly from the set of numbers StartSet 1 comma 2 comma 3 comma 4 comma 5 EndSet . {1, 2, 3, 4, 5}. Construct the probability distribution for the random variable x.

Answers

Answer:

Step-by-step explanation:

Given:

The set of numbers {1, 2, 3, 4, 5}

Affter that, we find the sum um of two distinct numbers selected randomly from the set above;

1+2 =31+3=41+4=51+5=62+3=52+4=62+5=73+4=73+5=84+5 = 9

Therefore, we have the following number: 3,4,5,6,5,6,7,7,8,9

so we have x = {3,4,5,6,5,6,7,7,8,9 }

now we find P(x) of each number, we have n(S) = 10

x  3 4 5 6 7 8 9

P(x)  1/10 1/10 1/10 2/10 2/10 2/10 1/10

Hope it will find you well.

The probability distribution of a set gives the probabilities of possible outcomes of the set

The set of numbers is given as:

[tex]\mathbf{Set = \{1, 2, 3, 4, 5\}}[/tex]

Add two distinct numbers of the set.

The sum is as follows

[tex]\mathbf{1+2 =3}[/tex]

[tex]\mathbf{1+3=4}[/tex]

[tex]\mathbf{1+4=5}[/tex]

[tex]\mathbf{1+5=6}[/tex]

[tex]\mathbf{2+3=5}[/tex]

[tex]\mathbf{2+4=6}[/tex]

[tex]\mathbf{2+5=7}[/tex]

[tex]\mathbf{3+4=7}[/tex]

[tex]\mathbf{3+5=8}[/tex]

[tex]\mathbf{4+5 = 9}[/tex]

The sum of the distinct numbers are:

[tex]\mathbf{Sum = \{3,4,5,6,5,6,7,7,8,9\}}[/tex]

Calculate the probability of each number in the sum set i.e. 3, 4, 5, 6, 7, 8 and 9

[tex]\mathbf{P(3) = P(4) = P(5)= P(9)= \frac{1}{10} = 0.10}[/tex]

[tex]\mathbf{P(6) = P(7) = P(8)= \frac{2}{10} = 0.20}[/tex]

So, the probability distribution for the random variable is:

x   - - P(x)

3 -- 0.10

4 -- 0.10

5 -- 0.10

6 -- 0.20

7 -- 0.20

8 -- 0.20

9 -- 0.10

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hi what is the four time pi?

Answers

Answer:

12.5663706144 or just 12.57.

Step-by-step explanation:

4 x pi = 12.57

Estimate

Pi is approx. equal to 3.14

4 x 3 = 12

Other Questions
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