Elvira, the cafeteria manager, has just received a shipment of new trays with the school logo prominently displayed in the middle of the tray. After unloading 4 cartons of trays in the pizza line, she realizes that students are arriving for lunch and she will have to wait until lunch is over before unloading the remaining cartons. The new trays are very popular and in just a couple of minutes 24 students have passed through the pizza line and are showing off the school logo on the trays. At this time, Elvira decides to divide the remaining trays in the pizza line into 3 equal groups so she can also place some in the salad line and the sandwich line, hoping to attract students to the other lines. After doing so, she realizes that each of the three serving lines has only 12 of the new trays. "That's not many trays for each line. I wonder how many trays there were in each of the cartons I unloaded?"


Help the cafeteria manager answer her question using the data in the story about each of the actions she took. Explain how you arrive at your solution.

Answers

Answer 1

Answer:

im willing to bet that there is 3 in each carton

(just a guess for the points also theres no multiple choice?)

Answer 2

The quantity of trays that were in each of the cartons the manager unloaded was 12 trays.

How many trays there were in each of the cartons I unloaded?

To determine the quantity of trays in each carton, we need to analyze the given information step by step:

We know that 24 students have passed through the pizza line and received trays with the school logo.The remaining trays were divided into three equal groups for the salad line, sandwich line, and pizza line.Each serving line ended up with only 12 new trays.

From these points, we can deduce the following:

Since 24 students passed through the pizza line, and each student received one tray, this means that 24 trays were taken from the initial shipment.After 24 trays were taken, an equal number of trays were distributed to the salad line, sandwich line, and the remaining trays were kept in the pizza line.Each serving line ended up with 12 new trays. Since the trays were divided equally among the three lines, each line received the same number of trays.

Now, let's solve for the number of trays in each carton.

Let's assume that the number of trays in each carton is "x."

We know that 24 trays were taken initially, and each serving line ended up with 12 trays. So, we can set up the equation:

24 + 12 + 12 + 12 = 4x

48 = 4x

Dividing both sides of the equation by 4:

12 = x

Therefore, there were 12 trays in each of the cartons that were unloaded.

To summarize, each carton that Elvira unloaded contained 12 trays.

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Related Questions

What is the answer to this math problem; -2.4x+3.8x-x

Answers

Answer:

0.4x

Step-by-step explanation:

Answer: =0.4x

Step-by-step explanation: hope this help

Let's simplify step-by-step.

−2.4x+3.8x−x

=−2.4x+3.8x+−x

Combine Like Terms:

=−2.4x+3.8x+−x

=(−2.4x+3.8x+−x)

=0.4x

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Two circles are concentric. Let A be the area between the smaller circle and the larger circle. Let B be the area of the smaller circle. If A:B=3 and the radius of the smaller circle is 2020, what is the radius of the larger circle? (Do NOT include punctuation in your answer.)

Answers

Answer:

Circumference of circle 1 : Circumference of circle 2 = 1 : 2

Step-by-step explanation:

Circumference of a circle = πD, where D is the diameter.

Diameter of circle 1 = 1.125

Circumference of circle 1 = π x 1.125

Diameter of circle 1 = 2.25

Circumference of circle 1 = π x 2.25

Circumference of circle 1 : Circumference of circle 2 = 1 : 2

3125x=−62 value of x.

Answers

Answer:

x= -0.01984

Step-by-step explanation:

You divide both sides by 3125 to get x alone.

You get x=-0.01984

Hope this helps!

what is 852,442 rounded to the nearest thousand?

Answers

Answer:

852,000

Step-by-step explanation:

Simplify the expression (combine like terms):
6x + 12y + 5 + 2y + 8

Answers

Answer:

[tex]6x + 14y + 13[/tex]

Step-by-step explanation:

[tex]6x + 12y + 5 + 2y + 8 \\(6x ) + (12y + 2y) + (5 + 8) \\ 6x + 14y + 13[/tex]

6x+14y+13 might be the answer.

Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6

Answers

Answer:

8.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Answer:

Hi! I'm happy to help!

Step-by-step explanation:

8.026, 8.062, 8.26, 8.6

can someone please help me​

Answers

Answer:

when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c

so y=5x-3

is anyone able to solve this problem?

Answers

Answer:

Jar size: $12.49 for 62 oz ⇒ $0.20 for 1 oz

Step-by-step explanation:

Fun size: $2.88 for 10 oz ⇒ $0.288 for 1 oz

Party size: $8.98 for 38 oz ⇒ $0.24 for 1 oz

Jar size: $12.49 for 62 oz ⇒ $0.20 for 1 oz

Box size: $0.99 for 3 oz ⇒ $0.33 for 1 oz

A carnival ride consists of four circular cars - a b c d - each of which spins about at its center point The center points of cars a and b are attached by a straight beam as are the center points of c and d The 2 beams are attached at their midpoints by a rotating arm. A plan for the ride uses coordinate plane in which each unit represents one meter. In the plan, the center of car A (-6,-1) and B (-2,-3) and C (3,4) and D (5,0). Each car has a 3m diameter

Answers

Answer:

Hello your question is incomplete attached below  is the complete question

Answer : The shape of the fence will be a circle

              dimensions of the fence are : radius = 6.5 meters

Step-by-step explanation:

First we calculate the length of the different arms

AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]

     ≈ 4.47

CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]

     ≈ 4.47

Next we calculate the midpoint of these two arms

M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )

M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex]  = ( 4,2 )

hence midpoint of M1,M2 =( M ) = ( 0,0 )

finally considering M calculate the distance between M and car B,D

MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex]  = 3.60

MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex]  = 5

therefore the radius of the fence will be

= 5 + 1.5 = 6.5 meters ( because MD > MB )

The graph of a polynomial function f is shown

a. Is the degree of the polynomial odd or even? Explain how you know.

b. That is the constant term of the polynomial

Answers

Answer:

The degree of the polynomial is even because it is a 4th degree polynomial. 4 is even, so the graph will behave roughly like a quadratic; namely, its graph will either be up on both ends or else be down on both ends.

The y-intercept is the constant term. The constant term is -4 because it is the only number on the y-axis.

Need Answer ASAP 5 min.

Answers

Answer:

48

Step-by-step explanation:

55+65=120 and 2/5 of 120 is 48

Mario is baking pls help

Answers

Answer:

b

Step-by-step explanation:

3/4 is the same as 6/8. So 6/8 plus 5/8 is 11/8. But you can’t have a numerator greater than the denominator so that is equal to 1 3/8. Then you add that to the 15 and you get 16 3/8. Hope this helps!!!

Which choice is the equation of the line that passes through the point (5, 19) and has a slope of
m=12 and is written in slope–intercept form?

Answers

Answer:

The equation is;

y = 12x-41

Step-by-step explanation:

Mathematically;

slope intercept form is;

y = mx + b

where m is slope and b is intercept

Since we already have the slope , the equation is;

y = 12x + b

To get b which is the y intercept, we simply substitute the value of the points given

Thus;

19 = 5(12) + b

19 = 60+ b

b = 19-60

b = -41

So the equation is;

y = 12x - 41

HAPPY THANKSGIVING AGAIN I NEED HWLP ASAP

Answers

It’s B! Happy Thanksgiving!

1. The fair coin is tossed once. What is the
probability of obtaining obtaining i
a) A head
b) A tail
c)no head
d)No tail​

Answers

D.no tail f see gdgfhggarhgjxy
The probability of...
A head = 1/2
A tail = 1/2
No head (meaning tail) = 1/2
No tail (meaning head) = 1/2

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute. How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital

Answers

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

3.3x10^9+2.6x10^9+7.7x10^8

Answers

6000000008. Hope this helps

five is 6 less than one third of a number

Answers

Answer:

The equation should be

n is used to represent a number.

1/3 is in fraction form

It also says 6 less than 1/2 of a number, so -6 should be after 1/3n. The operation happening between 1/3 and n is multiplication

Your final equation: 5=1/3n-6

Answer:

n = 33

Step-by-step explanation:

[tex]5=\frac{1}{3} n-6[/tex] ..... (1)

(1) × 3

15 = n - 18 ⇒ n = 33

Pls show the work

2x - 3y = 12

Answers

Answer:

y= -2/3x - 4

x= 3/2y + 6

Step-by-step explanation:

2x - 3y = 12 (plus 3y)

2x = 3y +12 (divide by 2)

x = 3/2y + 6

2x - 3y = 12 (minus 2x)

-3y = 2x + 12 (divide by -3)

y = -2/3x - 4

can a triangle of 72/12 fit on the same line as 144/24

Answers

Answer: yes.

Step-by-step explanation: GCF.

Find the slope of the line on the graph
Write your answer as a fraction or a whole
umbes not a mixed number or decimal

Answers

The slope is -2/3

Slope is the change is y/change in x. the change in y from point to point is -2 and the change in x is 3. Thus, the slope is -2/3

In 1 min I walked 90 steps. so the ratio is?

Answers

If you walk 90 steps in 1 minute the ratio would be 1:90 because for every minute u walk 90 steps

Answer:

The ratio is 1:90

Step-by-step explanation:

Every minute, you walk 90 steps

A store advertises a 20% markdown on a dishwasher that normally sells for $952. a. Find the price on sale. b. The markdown is the greatest possible without the store losing money. What does this tell you about the store’s cost?

Answers

Answer:

a. $761.60

b. The store bought the dishwasher for the price they are currently selling it at. They are receiving no profit when it is on sale.

Step-by-step explanation:

give brainliest pls

If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that the Sales price = $952

Markdown % = 20%

The Sales price = (100 - 20)% x $952

The Sales price = 80% x $952

The Sales price = $761.60

If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60

Learn more about multiplications;

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7. The graph of a polynomial function is shown.

a. Is the degree of the polynomial odd or even? Explain how you know.

b. What is the constant term of the polynomial?

Answers

9514 1404 393

Answer:

even-4

Step-by-step explanation:

When the end behavior is the same sign on the left and the right, the degree is even. This polynomial is of even degree.

The y-intercept is the constant term: -4. (All the other terms are zero when x=0.)

Which is the graph of f(x) = 2(3)x

Answers

Well I can’t see all the graphs but this is how your equation on a graph should look like:

help 6th grade math i will give brainliest

Answers

I think C I’m NOT for sure but good luck!

Use the equation to answer the question 12 equals 3x + 6 what is the value of x makes the equation true

Answers

X is equal to 2 because 3(2) is 6 and the remaining 6 is equal to 12 6+6=12
X=2

Luis earns $30 washing 3 dogs. At this rate, how many dogs did Luis wash to earn $70?​

Answers

Answer:

7 dogs

Step-by-step explanation:

$30/3 = how many dollars per dog

$10 per dog he washes

$70/$10 = 7, he washes 7 dogs

Answer:

7 dogs

Step-by-step explanation:

30/3 = 10$ per dog

70/10 = 7 dogs

Please helpp!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12 mpm

Step-by-step explanation:

Because he goes 3 miles in 36 mins so 36/3=12

Answer:

A 1/12 mph

B 30 minutes

Step-by-step explanation:

18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25

Answers

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

__________________

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

_________________

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

_________________

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

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