1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
White raven [17]
3 years ago
13

A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the sa

me 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?
Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

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

You might be interested in
[PHOTO] Please help me need this done by tomorrow thank you! ​
Angelina_Jolie [31]

9514 1404 393

Answer:

  x = 28

Step-by-step explanation:

The marked angles are supplementary, so you have ...

  (3x +10) +(3x +2) = 180

  6x +12 = 180 . . . . . . . . . . simplify

  x +2 = 30 . . . . . . . . divide by 6

  x = 28 . . . . . . . subtract 2

__

<em>Additional comment</em>

You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.

The obtuse angle (on the left) is 94°; the acute angle is 86°.

7 0
3 years ago
What quadrant does this lie in: cot(theta)&gt;0 and sin(theta)&gt;0?
Mice21 [21]

Answer:

lies on IV quadrant

Step-by-step explanation:

6 0
3 years ago
Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
stiv31 [10]

Answer:

Since angle G is the largest angle, the opposite side, JH, is the longest. The order of the side lengths from longest to shortest is JH, HG, GJ

8 0
3 years ago
Read 2 more answers
Elise built a rectangular vegetable garden that is 9 feet long and has an area of 72 square feet. What is the perimeter of Elise
Papessa [141]

We have to find the width first.

72 divide by 9 = 8

To find the perimeter, you can do it two ways:

1. 9 + 8 + 9 + 8 = 34

2. 2(9) + 2(8) = 18 + 16 = 34

The answer is 34 feet.

7 0
3 years ago
What is (-6x) to the third power
FromTheMoon [43]

Answer:

-216 x^3

Step-by-step explanation:

(-6x)^3

This is really (-6x)* (-6x) * (-6x)

-216 x^3

8 0
4 years ago
Other questions:
  • hi yes I NEED SOMEONE'S HELP WITH A GUARANTEED ANSWER PLSSSS WILL GIVE 22 POINTS AND MARKED BRAINLIEST EVERYTHING IS IN THE PIC
    14·1 answer
  • Suppose that during the past year the price of a laptop computer fell from 2950 to 2450. During the same time period consumer sa
    7·1 answer
  • Write the number name for 485,002,000
    13·1 answer
  • How far did the Open Door policy towards China benefit the USA?
    15·1 answer
  • Can you please tell me which is larger 30 quarts or 3 gallons?
    15·1 answer
  • What is the tangent of 42 degree angle
    6·1 answer
  • 0.361, 0.35, 1/5, 0.36 greatest to least
    15·2 answers
  • The area of the rectangular room is 34 square feet. Which statement best describes the width of the room?
    9·1 answer
  • Find the least common multiple of each set of numbers,<br> 12 and 18
    13·1 answer
  • Which equation represents an exponential function that passes through the point (2, 80)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!