Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.

Answers

Answer 1

Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.


Related Questions

Which pair of triangles MUST be similar?



A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.

B. Triangles 1 and 2 each have a 40 degree angle.

C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.

D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.

Answers

Answer:

C

Step-by-step explanation:

The total measurement of a triangle is 180

Triangle 7 has a 40 degree angle and 35 degree angle.

40+35=75

180-75=105

Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8

A gym membership costs $25 per month plus a
membership fee of $50. Which equation represents the
situation?

Answers

Answer:

Its B

Step-by-step explanation:

Answer:

y=25x+50

Step-by-step explanation:

She has to pay a fee of 50 and then 25 a month. X represents months since we don't know how many months she plans to have a membership.

Joe can run 12 miles in 125 minutes. How many miles can he run in 230 minutes? (solve and explain the steps)

Answers

Answer:

Joe will run 22.08 miles in 230 minutes.

Step-by-step explanation:

Given that Joe can run 12 miles in 125 minutes.

so Joe running the miles in 1 minute is = 12/125 = 0.096 miles

unit rate = 0.096 miles/per minute

As Joe runs 0.096 miles in one minute.

Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles

Therefore, Joe will run 22.08 miles in 230 minutes.

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Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.


For every quart she picks, she adds $ _____

to her total earnings for the day.


How much does Alyssa earn if she picks 0 quarts of strawberries?

$ ____

Answers

Answer:

1. She gets $3 per quart she picks.

2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.

At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?

Yes Or No

Answers

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious gravity that mimics gravity. The the device rotates according to the mathematical equation: n =g^0.5/2πr^0.5 Where n is the rotational speed and is measured in rotations per second (s). (r) is the radius of the circulator and is measured in meters (m). (g) is a simulation of gravity. Calculate the rotation speed of a device, that has a radius of 1.7 meters and rotates to simulate the gravitational force which equals to: g = 9.8 m/s^2 with steps please

Answers

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

[tex]n=\dfrac{g^{0.5}}{2\pi r^{0.5}}[/tex] ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]

Hence, the rotational speed is 0.38 rotation per second.

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What is he equation of the line passing through the points ( 2/5,19/20 ) and (1/3,11/12) in slope-intercept form?

Answers

Answer:

the second answer

y=1/2x+3/4

Solve for the unknown number in the equation 478 + ________ = 457 + 77.

a 50
b 53
c 56
d 59

Answers

Answer:

56

Step-by-step explanation:

457+77

=534-478

= 56

Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return

Answers

Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___

Thanks :)

Answers

Step-by-step explanation:

g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4

Answer:

[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]

Tyler's brother earns $12 per hour. The store offers him a raise - a 5% increase per hour. After the raise, how much will Tyler's brother make per hour?

Answers

Answer: $12*0.05=$0.60. Then, add this amount to his current hourly rate. So he now makes $12.60.

Click on the volume of this cube

Answers

What I’m Confused?????

2. Is the point (0,2) the solution to the system of equations: SHOW ALL YOUR WORK.
2 − = −2
2 + 4 = 8

Answers

Answer:

A system of linear equations usually has a single solution, but sometimes it ... Number of solutions to system of equations review. CCSS.Math: 8.EE.C.8 ... also work for the other equation, so there are infinite solutions to the system. ... (2, 0) ( 1, 2) and then draw a line that goes through all of the points. For the ... y = −3x− 4

Step-by-step explanation:

y = −3x− 4

Answer:

No variables in the equations so..?

2 - = -2 ; Not true

6 = 8 ; Not true

Calculate the measure of ABC to the nearest tenth of a degree.

Answers

Answer:

I had done rough method on the page

Step-by-step explanation:

I think first once is correct ...

why are the properties of equality important in solving equations?​

Answers

Step-by-step explanation:

As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation. Here are the properties of equality you need to isolate terms and solve equations. The Subtraction Property of Equality is used when you have an equation with addition in it

Someone answer all 1-10 please

Answers

1. -3/2
2. 2
3. 1/2
4.0
5. 1/2
6. -3/4
7. -1/4
8. -8/11
9. 0
10. -1/5

Please Help Me ASAP
what is X

Answers

how to solve: 20^2+5^2=x^2, then you take the square root, therefore x=20.62

Answer:

Simple!

Step-by-step explanation:

The triangle is obviously a right triangle, meaning, we can use the Pythagorean Theorem to solve for x!

(The Pythagorean Theorem is where [tex]a^2=b^2+c^2[/tex], or the length of the hypotenuse (side opposite to the 90 degree angle) squared is equal to the length of one leg squared plus the other leg squared).

To put it simply:

[tex]x^2=20^2+5^2[/tex]

Now to solve!

[tex]x^2=400+25\\x^2=425\\x=\sqrt{425} \\x=5\sqrt{17}[/tex]

This cannot be simplified further, so that's your answer!

Hope this helps!

How do I find the measurement indicated in each parallelogram.

Answers

Answer:

17) 23

18) 12

Step-by-step explanation:

17

x+15 = 7+2x

x-2x = 7-15

-x= -8

x=8

WX = x+15

= 8+15

= 23

18

2x = 3x-6

2x -3x = -6

-x = -6

x = 6

EF = 3x-6

= 3(6) -6

= 18 -6

= 12

Answer is 17 u need to write 17

2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4​

Answers

Answer:

would not be helpful to anser nowww... sory!

Step-by-step explanation:

The line that passes through (2, 6) and (9, 4)

Answers

Answer:

If you want to find the slope the answer is (2,7)that's the final answer

After a 25% discount, the price of a t-shirt was $12. What was the price before the discount?

Answers

Answer:

0.75

Step-by-step explanation:

0.75 x 16 = 12

Many of you guys think it's 16 and you are some way correct but you guys forget to multiply it by 0.75

PLZ give me good reviews :)

The price before the discount was $16.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the price of the -shirt is $12 after a 25% discount.

Since a 25% discount was given, only 75% of the actual amount was paid.

Therefore, it follows;

75% = $12

1% = $ (12/75)

100% = $(12/75) × 100

100% = $16

Hence, the price before the discount was $16.

Learn more on percentages here:

https://brainly.com/question/14979505

#SPJ2

Question 1 (10 points)
(03.01 MC)

A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game.

Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay.

Henri finds 70% of the original price and then calculates 110% of the sale price.

Will Pat's strategy calculate the correct total? Explain the calculations.

Will Henri's strategy calculate the correct total? Explain the calculations.

Do they each have enough to purchase the game?

Explain your answers using complete sentences and show your work. (50 points)

Answers

Answer:

hiiii we meet again.......

Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.

Answers

Answer:

w=10

Step-by-step explanation:

8.25+1/4w=10.75

8.25+0.25w=10.75

0.25w=10.75-8.25

0.25w=2.5

w=10

I hope this helps

Answer:

C/10

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the?​

Answers

Through the origin (0,0)

Answer:

Origin

Step-by-step explanation:

Here you go~

A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *

Answers

Answer:

$21 x 30 = 630 (630 the answer)

Step-by-step explanation:

In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.

Answers

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

p = x / n

p = 91/110

p = 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= p - Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

Which equation is written in slope-intercept form?
O y = 3x-2
O X= ży+ 8
- 2x + 5y = 12
O 3y = 8x-5

Answers

Answer:

The first one

y= 3x-2

Step-by-step explanation:

please answer my question

Answers

Answer:

dogs and birds..........

NO ANSWERS MY QUESTION I NEED HELP PLEAAASE

Answers

Answer:

configure 3 its B

Step-by-step explanation:

I THINK THE ANSWER IS FIGURE B.

oops didn't know i was in caps lock.

Determine the equation of the circle graphed below.

Answers

Answer: (-7,3)

Step-by-step explanation:

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