A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the same number of students from each grade level on each team. If all students participate, what is the largest possible number of teams and how many students will there be on each team?

Answers

Answer 1

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders


Related Questions

For the function below, state the x-coordinate of the x-intercept that is located to the left of the origin. F(x)=x^3-x^2-x+1

Answers

X intercepts are (1,0), (-1,0)
Y intercept is (0,1)
If this is not right then comment back and tell me what your tryna do with that equation u gave

Answer:

-1

Step-by-step explanation:

A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline (<1) of 28. What is the measure of <2?

Answers

Answer:

Step-by-step explanation:

two angles are said to be supplementary if their sum is 180 degrees

Hence <1 + <2 = 180

Given

<1 = 28

Required

<2

Substitute into the formula

28+<2 =180

<2 = 180-28

<2= 152

Hence the measure of <2 is 152 degrees

I need the answer plzz help me

Answers

Answer: A) a translation 3 units down

Step-by-step explanation: Notice how your y-values are decreasing by 3.

y-values only increase or decrease, so if they’re decreasing, they are going down.

Hope this helps!

Bethany uses the equation d=3.75h to find the distance, d, she travels while walking for h number of hours. what is the constant of proportionality between d and h? show your work

Answers

Answer:

The constant of proportionality between d and h is 3.75

Step-by-step explanation:

The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:

y=m*x

The value m is a constant called the constant of proportionality or the slope of the line and represents the inclination of the line with respect to the abscissa axis, that is, the x axis. Graphically this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).

You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours.  Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.

So, the constant of proportionality between d and h is 3.75

Find the value of A, B and C, given that 2z^2 + z + C = A (z+1)^2 + B (z+1) + 4 for all values of z. Please show the step by step process. :)

Answers

2z² + z + C = A (z + 1)² + B (z + 1) + 4

Expand the right side completely and collect terms with the same power of z :

2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4

2z² + z + C = Az² + 2Az + A + Bz + B + 4

2z² + z + C = Az² + (2A + B)z + A + B + 4

Now match up terms on either side that have the same power of z. This gives

2 = A ................. (2nd power)

1 = 2A + B ......... (1st power)

C = A + B + 4 .... (0th power)

Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get

1 = 2*2 + B

B = -3

and in the third equation we get

C = 2 + (-3) + 4

C = 3

Michael saw a pair of jeans that he really wants to buy. The price of the jeans is $25.60. He saw that they go on sale for weekend and will be 15% off. How much will he save?​

Answers

Answer:

$21.76

Step-by-step explanation:

15% of $25.60= $3.84

$25.60-$3.84= $21.76

5 1/3% is equal in fraction to 4/75 true or false

Answers

True, as 5 1/3% = 16/3 * 1/100 = 16/300. 16/300 simplifies to 4/75 as the gcf(16,300) = 4.

I don't get how to do this, can someone help?​

Answers

Google helps to so try that

Pleas help me!!!!!!!!!!!!!!!!!!!

Answers

Answer:

for 14).....ans: 0.01

Step-by-step explanation:

convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.

hope this was useful!

I don’t under this .

Answers

Answer:

The answer is QR,RS, and ST

Step-by-step explanation:

i hope this helps .

Answer:QR,RS and ST
Explanation:

which one is the warmest and why please​

Answers

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

Answer:

Wilmington

Step-by-step explanation:

All the others are negative, but Wilmington is zero degrees which is non negative.

can someone please help me

Answers

64 because 4 turns into -8 -8 turns into 16 and 16 turns into -32 so it must be 64

64 is the right answer

Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?

Answers

5 tickets I’m pretty sure

Answer:

5 tickets

Step-by-step explanation:

45.50t + 14.99 = 242.49

          -14.99      -14.99

           45.50t = 227.5

                    t  = 5

A rectangular garden is 10 2/7 feet by 5 4/9 . What is the area of the garden?

Answers

Answer:

50 8/63

Step-by-step explanation:

10*5=50

when multiplying fractions we have to multiply the numerators, then multiply the denominators.

2*4=8

7*9=63

hope this helps =3

sorry if im wrong

Answer please I’ll give you branliest

Answers

Trueeeeeeeeeeeeeeeeeeeeeeeeeeereeeeeeeeeeee

Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked was 3:10. Use Scratchpad to draw tape diagrams to represent this ratio. How many miles did Nash run in week 11?

Answers

Answer:

78

Step-by-step explanation:

you do 3 *26

Numbers between 380 and 410 divisible by 2,5, and 10

Answers

Answer:

Did you try this is a piece of cake

Step-by-step explanation:

que es suma y resta de fracciones homogeneas

Answers

Answer:

responder

Step-by-step explanation:

Para sumar y restar fracciones, sus denominadores deben ser iguales. Por tanto, sumar o restar fracciones homogéneas es más fácil, dado que ya tienen el mismo denominador.

Answer:

Recuerda que cuando se suman fracciones homogéneas se hace lo mismo que cuando se suman objetos del mismo tipo. Por ejemplo, la suma tres décimos más dos décimos da como resultado cinco décimos: , por la misma razón que sumar tres vacas más dos vacas da como resultado cinco vacas.

Step-by-step explanation:

how many quarts are there in 20 pints​

Answers

Answer:

Since 1 quart is 2 pints, there are 10 pints in 20 quarts.

Step-by-step explanation:

Answer:

There are 10 quarts in 20 pints

Step-by-step explanation:

1 pint is equal to 0.5 quarts, So if you multiply 0.5 by 20, you get 10.

Participation Quiz 10-23-2020 NEED HELP PLZZZZZ!!!!

Question 1 options:
m∠A = _____˚

m∠B = _____˚

m∠C = _____˚

m∠X = _____˚

m∠Y = _____˚

m∠Z = _____˚

Segment AB = _____ units

Segment BC = _____ units

Segment AC = _____ units

Segment XY = _____ units

Segment YZ = _____ units

Segment XZ = _____ units

Answers

Answer:

angle A is 53°

angle B is 90°

angle C is 37°

angle X is 53°

angle Y is 90°

angle Z is 37°

AB=3

BC=4

AC=5

XY=3

YZ=4

XZ=5

Help math hv 30 minutes

Answers

Answer:

ACD

Step-by-step explanation:

(0,0) shows that the cost is 0 when the weight is 0,

(0.5,2) shows that when the weight is 0.5 pounds the cost is 2 dollars

same concept for D

The definition of a circle uses the undefined term _______.
arc
line
plane
ray

Answers

Answer:

I believe the answer is plane

Step-by-step explanation:

Answer:

plane

Step-by-step explanation:

how many regions are in Ghana​

Answers

Answer:

Ghana Has 16 regions.

Step-by-step explanation:

Answer:

16 regions                    

No explanation because it isn't needed            

Divide 28 of soda into two groups so the ratio is 3 to 4​

Answers

Answer:Total units would be: 3+4 = 7. value of 1 unit = 28/7 = 4. ratio would be 3(4) & 4(4) = 12 & 16

Step-by-step explanation:

Evaluate - (2-6)(23).
O A. 8
O B.
1
8
Oc.
1
8
D. -8

Answers

Answer:

-92.

Step-by-step explanation:

2 - 6 is -4.

-4 x 23 is -92.

Learning Task 4. Solve the problem. Estimate the total amount. Mr. Cruz's monthly
income is P75,000.00. He divide his income to the following expenses:
Food: P 22, 450.89
Recreation: P5, 676.63
Clothes: P 15,670.25
Transportation: P 10,067.15​

Answers

Step-by-step explanation:

Answer: 21,135.08

Step-by-step explanation: because

22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92

so now 75,000 - 53,864.92 = 21,135.08 that's it

The ratio table below shows the number of eggs per omelette
how many omelettes can be made with 18 eggs?

4
6
9
12

Answers

Answer:

9

Step-by-step explanation:

18/ 2= 9


The marching band walks mile in 2.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your answer below.

Answers

Answer:

2.5 minutes

Step-by-step explanation:

The answer is given in the word problem.

What is the equation?

Answers

Answer:

9/1 x 3/1

Step-by-step explanation:

Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?

Answers

Answer:

Since it is a to-scale model,

the ratio of the wingspan to the length of both the airplanes must be equal

wingspan1 = 200 ft               wingspan2 = 30 cm

length1 = 240 ft                     length2 = x cm

wingspan1 / length1 = wingspan2/length2

replacing the variables

200 / 240 = 30 / x

x = 30 * 240/200

x = 36 cm

Therefore, the length of Emma's airplane is 36 cm

Answer:

Step-by-step explanation:

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