Frank’s Pizzeria has a champion pizza eater named Sandy who can eat 61⁄2 slices in 2 minutes. Kelly’s Pizzeria has a champion pizza eater named James who can eat 3 slices in 11⁄2 minutes. Who can eat more pizza in 1 minute?
Use a number line to show the difference between the amounts of pizza eaten by the two competitors in one minute.



pls help i really need this answer

Answers

Answer 1

Using number line, the difference in the amount of Pizza they ate is 0.75

What is the difference between the amounts of pizza eaten by the two competitors in a minute?

To compare the amounts of pizza eaten by Sandy and James in 1 minute, we need to first calculate how many slices they eat in 1 minute.

Sandy can eat 6.5 slices in 2 minutes, which means she can eat 6.5/2 = 3.25 slices in 1 minute.

James can eat 3 slices in 1.5 minutes, which means he can eat 3/(1.5/2) = 4 slices in 1 minute.

Therefore, James can eat more pizza in 1 minute than Sandy.

To show the difference on a number line, we can mark 3.25 and 4 on the line, and subtract 3.25 from 4 to get the difference:

         0         1         2         3         4

         |---------|---------|---------|---------|

Sandy:                   3.25

James:                   4

Difference:             0.75

So the difference between the amounts of pizza eaten by James and Sandy in 1 minute is 0.75 slices.

Learn more on number line here;

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Related Questions

if l || m,find the value of x, (8x + 20) (11x-31)

Answers

Answer:

x=17

Step-by-step explanation:

8x+20=11x-31

We simplify the equation to the form, which is simple to understand  

8x+20=11x-31

We move all terms containing x to the left and all other terms to the right.  

+8x-11x=-31-20

We simplify left and right side of the equation.  

-3x=-51

We divide both sides of the equation by -3 to get x.  

x=17

Answer:

17

Step-by-step explanation:

8x + 20 = 11x - 31

-8. -8

20 = 3× - 31

+31. +31

51 = 3x

/3. /3

x = 17

Identify the angles that each have a measure of 88°. ​

Answers

Answer:

vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv

Step-by-step explanation:

1, 3, and 8

8 is it’s corresponding angle. 1 is vertical to it and 3 corresponds with 1

HURRY PLEASE HELP!!!!!!

the answer choices are
A. 55
B. 40
C. 60

Answers

Answer:

A. 55

Step-by-step explanation:

hope this helps have a good day :)

If b^2=a then b is what of a?

Answers

1:: If
a
is divisible by a square of a prime number, then we cannot conclude from |2
a
|
b
2
that |
a
|
b
.

Any time
a
is divisible by a square of a prime number, =⋅
a
=
k

p
n
where ≥2
n

2
and
p
does not divide
k
, you can see that
a
divides (⋅−1)2
(
k

p
n

1
)
2
, but
a
does not divide ⋅−1
k

p
n

1
.

Part 2: If
a
is not divisible by a square of a prime number, then we can conclude from |2
a
|
b
2
that |
a
|
b
.

On the other hand, if
a
is not divisible by a square of a prime number, then =12⋯
a
=
p
1
p
2

p
n
where
p
i
is prime for all
p
. Then, assuming
a
divides 2
b
2
, you can conclude that
p
i
divides 2
b
2
, and therefore
p
i
divides
b
(from prime factorization) for all
i
. From this, you can conclude that
a
divides
b
.

Answer:

[tex]\huge\boxed{b = \sqrt{a}}[/tex]

Step-by-step explanation:

If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

[tex]b^2 = a[/tex]

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

[tex]\sqrt{b^2} = \sqrt{a}[/tex]

[tex]b = \sqrt{a}[/tex]

So b is the square root of a.

Hope this helped!

If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?

Answers

Step-by-step explanation:

He will read 50 pages in an hour

2) A farmhouse shelters 61 animals. Some are cows and some are ducks. Altogether there are
208 legs. How many of each animal are there?

Answers

Answer:
43 cows and 18 ducks

Explanation:
Let c represent the number of cows in the farmhouse.
Let d represent the number of ducks in the farmhouse.

We know that:
- there are a total of 61 animals in the farmhouse
- one cow has 4 legs
- one duck has 2 legs
- there are a total of 208 legs

Using the information above, we can create two equations:

c+d=61
4c+2d=208

1) multiply the first equation by 2
If we do this, both equations will have 2d and we can subtract them to solve for c.

c+d=61
2c+2d=122

2) Subtract the first equation from the second

4c+2d=208
2c+2d=122
2c=86
c=43

Therefore, the number of cows in the farmhouse is equal to 43.

2) plug 43 into the first equation to solve for d
We can plug 43 into either of the original questions to find the number of ducks, but in this case, it would be easier to solve for in the first equation.

c+d=61
43+d=61
Subtract both sides by 43
43+d-43=61-43
d=18

Therefore, the number of ducks in the farmhouse is equal to 18.

I hope this helps!

find the third side in simplest radical form.

Answers

Answer:

C=12.8

On the caculator there are two buttons you need to press. 2nd and then x2. Once you press those add in 20.

You get 4.47 ROUND THAT to 4.5

12(2)+4.5(2)=C(2)

12×12=144 4.5×4.5=20.25

144+20.25=164.25

164.25=C(2)

On the caculator press 2nd and then x2

12.81=12.8

C=12.8

A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?

Answers

(30m/s divided by 2)x 10800 ( convert 3hr to seconds by x with 60squared)
= 162000 m ( convert m to km by dividing with 1000)
= 162 km


Plz mark as brainleast if this answers helped ya.

Can someone help me answer

Answers

Answer: she should by 9 bottles of juice

Step-by-step explanation:

because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9

She needs to buy 9 juice bottle


Identify the following data set:
The rates at which all of the cashiers scan products for a store on a study about the
cashiers for the day

Answers

Answer: Population

Step-by-step explanation:

Answer:

Population

Step-by-step explanation:

I just took the quiz

Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2

Answers

Answer:27^n+3–6*3^3n+3–n*9^n+2

Step-by-step explanation:

a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days

Answers

34560 ounces

Step by Step Explanation:

12 x 64 = 768
768 x 45 = 34560 ounces

Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?

Answers

Answer:

$90

Step-by-step explanation:

If she ended up with 70 dollars then subtract 25 from 70 and you will get 45. then you double 45 which gives you 90 dollars

simplify 3(12 - 8) + 5

Answers

Answer:

17

Step-by-step explanation:

The value of the given linear expression 3(12 - 8) + 5 is 17.

What is a linear equation?

A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.

Therefore, the variable x⁰ = 1.

Given linear expression:

3(12 - 8) + 5

= 3 × 4 + 5

= 12 + 5

= 17

Learn more about linear expression here: https://brainly.com/question/1955739

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Rewrite each equation 5x – 4y = 6

Answers

Step-by-step explanation:

5x-4y=6.....eqn.1

or,5x=6+4y

or,x=6+4y/5....eqn.2

from eqn.1..5(6+4y/5)-4y=6

or,6+4y=6

:y=0 ans..

frm eqn.2

:x=6+0\5

:x=6/5 ans..

Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $

Answers

6.86 hope this helps !! :))

A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?

Answers

Answer:

10 km

Step-by-step explanation:

volume of cube = s^3

1 m = 100 cm

volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3

Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.

1,000,000 cm = 10,000 m = 10 km

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25

You start at (3,-3). You move down 2 units and up 6 units. Where do you end? On a coordinate plane

Answers

Answer:

(3 , 1)

Step-by-step explanation:

(3 , - 3)

(3 , - 3 - 2 + 6) = (3 , 1)

HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.

Answers

The cost of the entrance would be 7.5$, because 2.50$ x 6 equals 15.

Let’s multiply 6 x 2 to get twelve, and if six rides are 15$, that would be 30$ for twelve rides. But we still have three more.

2.50 x 3 would be 7.5$, and if we add that to 30$, we would get 37.5$.

With entry fee though, we would add 37.5$ to
7.5$, and so it would be 45$ on the dot.

Your answer would be 37.5$ without entry fee, and 45$ with entry fee.

If this helped.. please do me a favor and mark this as the Brainliest! :))

Need this ASAP
What is the constant of proportionality in the equationy=2x

Answers

Answer:

2

Step-by-step explanation:

[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]

Hence, constant of proportionality = 2


A car is going 50 miles per hour.

A rate that describes this would have units of?

А. miles and hours.

B. miles and cars.

C. hours only.

D. miles only.

Answers

miles and hours is the correct option.

NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU

Evaluate 4p+q/p when p= -2 and q= -3

a) -11/2
b) 9/2
c) -9/2
d) 11/2​

Answers

Answer:

D

Step-by-step explanation:

Answer:

d. 11/2

Step-by-step explanation:

(4p + q)/p

(4(-2) + (-3))/(-2) = (-8-3)/(-2)

11/2

What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.

Answers

Answer:

4

Step-by-step explanation:

Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same.

m = 4

Determine the unknown side of the similar triangle.
A)
2
B)
3
4
D)
5

Answers

Answer : C) 4
Step by Step explanation:

Answer:

(C). 4

Step-by-step explanation:

Sides of the similar triangles are proportional.

if X ~ Y , then [tex]\frac{12}{6}[/tex] = [tex]\frac{8}{x}[/tex] ⇒ x = 4

help me please i dont know what this is i cant think

Answers

Answer:

ahhhhh swear that's scary honestly

What is -7 as a fraction

Answers

Answer:-7/1

Step-by-step explanation:

Answer:

-7/1

Step-by-step explanation:

Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.

Answers

Answer: D. A polygon is concave if no diagonal contains points outside the polygon.

Explanation:

Choice A is true since "equiangular" means "equal angles"

Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon

Choice C is true. The term "lateral" means "side".

Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.

Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50

Answers

Answer:

32

Step-by-step explanation:

Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest? ​

Answers

Answer:

The rate of interest is 9%.

Step-by-step explanation:

Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :

[tex]i = \frac{prt}{100} [/tex]

[tex]let \: i = 360,p = 4000,t = 1[/tex]

[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]

[tex]36000 = 4000r[/tex]

[tex] \frac{36000}{4000} = r[/tex]

[tex]r = 9[/tex]

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The function of the bones called the ________________ is to protect the brain. You kinda remind me of Joe... Can somebody help me with this Widmer Company had gross wages of $301,000 during the week ended June 17. The amount of wages subject to social security tax was $270,900, while the amount of wages subject to federal and state unemployment taxes was $38,000. Tax rates are as follows:Social security 6.0%Medicare 1.5%State unemployment 5.4%Federal unemployment 0.8%The total amount withheld from employee wages for federal taxes was $60,200.If an amount box does not require an entry, leave it blank. If required, round answers to two decimal places.a. Journalize the entry to record the payroll for the week of June 17.June 7 b. Journalize the entry to record the payroll tax expense incurred for the week of June 17.June 7 help plsss i really need it what are the solutions of x2-4x+5=0 please help!! Gibson Valves produces cast bronze valves on an assembly line, currently producing 2000 valves per shift. If the production changes to 1600 valves per shift, labor productivity will change by: A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right). Which of the following statements are true?The living conditions for the wealthy were safer and healthier than the housing of the common people.Wealthy people had more power than common people and slaves.Common people rented villas to house their families, however the conditions were cramped and dangerous.All men in the Roman Empire were equal. Which of the following is NOT a monomer?A. an amino acidB. a monosaccharideC. a proteinD. a nucleotide Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds? what is the income source obtained from silk worm? A report was sent to the hospital administrator indicating that within the last four months, the enforced safety regulations resulted in a twenty percent decrease in workplace injuries. The administrator also received some recommendations on how to further decrease that percentage. The abbreviation for the group that sent the report is most likely . Gina is monitoring her patient's fluid intake. At breakfast, the patient has 8ounces of milk. At lunch, the patient has 8 ounces of ginger ale and 6 ouncesof soup. At dinner, the patient has 8 ounces of water and 6 ounces of soup.How much fluid has Gina's patient consumed for the day? Record the numberin cups and ounces.A. 4 cups and 4 ouncesB. 2 cups and 8 ouncesC. 3 cups and 3 ouncesD. 16 cups and 1 ounce Select the correct answer.Which of the following careers poses the most significant daily risk?A. City managerB. FirefighterC. City plannerD. Paramedic what is 5+5 and then divided by 8 ___ muchacha es puertoriquena. Fill in the blankA. LaB. EllaC. Ellas Need help fast please !!!!Will mark as brainliest!!!! What plan was proposed in 1950 to promote lasting peace by increasing economic and political cooperation among European countries? A. the Marshall Plan B. the Schuman Plan C. the Treaty of Versailles D. the Munich Agreement Identify the part of speech or the form of a part of speech in the capitalized portion of the next sentence.I wanted TO SEE that movie yesterday, but I didnt have time.A. Prepositional phraseB. InfinitiveC. VerbD. Gerund