There are three fourth grades classrooms (A, B, and C) at the local elementary school. Room A contains 12 children, Room B contains 18, and Room C contains 24 children. All the fourth graders get together to play a game in the middle of the day. The teachers want the children to be on teams with their own classmates but all the teams also need to be of equal size. Can you find the largest size of the teams so that each team contains only children from the same classroom?

9514 1404 393

Answer:

  3 solutions: 1368, 5364, 9360

Step-by-step explanation:

In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.

The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.

The three solutions are ...

  1368 = 38 · 36

  5364 = 149 · 36

  9360 = 260 · 36

Answer:

X = 9

Step-by-step explanation:

Answer:

Last option

Step-by-step explanation:

Answer:

1. (3, -1) 2. (-1, 3) 3. (2, 0) 4. (1, 0)

Step-by-step explanation:

Sorry the graphs' numbers keep changing, but hope this helps!

Answer:

Step-by-step explanation:

I needed points ⬛️⬛️

Answer:The vertex is

(0,7)

Sometimes we have problems with the easier questions because it's not exactly in the form we're used to. Normally for a quadratic, you would complete the square to find the vertex. But this quadratic is already in vertex or standard form:

f(x)=−(x−0)2+7

Step-by-step explanation: Hope this helps

Answer:

23°

Step-by-step explanation:

mABD is just the angle of B

9x-22 = 6x -7

3x -22 = -7

3x = 15

x = 5

9(5) -22

45-22

23

Answer:

d

Step-by-step explanation:

cause  it is d o.49

Answer:

4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

c=10

Answer:

The slope is 3

y-intercept is -16

Step-by-step explanation:

Let's start by using the slope formula, [tex]m=\frac{y2-y1}{x2-x1}[/tex]

plug in the points for the relating x and y and solve,

[tex]m\frac{5-2}{7-6}[/tex]   this simplifies to [tex]\frac{3}{1}[/tex]  or "3"

we have our slope: 3/1 or "3"

the equation needed to find the y-intercept is y=mx+b

We will need to solve for "b" to figure out the y-intercept.

let's plug in any pair of x and y, i'll just choose (6,2)

2=3(6)+b,   2=18+b,    2-18=18-18+b,     -16=b  

Y-intercept is -16

Answer:

I think you are supposed to add the interior + exterior

Answer:

Option 2

Step-by-step explanation:

[tex]2 \frac{2}{13} + \frac{15}{13} =[/tex] [tex]2 \frac{2}{13} + 1 \frac{2}{13} = 3 \frac{4}{13}[/tex]

Answer: The answer is option 2. 3 4/13

Step-by-step explanation:

2 2/13 + 15/13 =  2 17/13

17 fits into 13 one time and you're left with 4/13 as a remainder.

Since 17 was able to fit into 13 at least once, you get another whole number making your already existing whole number of 2 into 3.

Thus your answer is 3 4/13. I hope this was a helpful explanation! :)

Given :

The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C.

To Find :

The final temperature on Sunday.

Solution :

Temperature on Saturday = initial temperature + 4⁰C

= 32⁰C + 4⁰C

= 36⁰C.

Temperature on Sunday = temperature on Saturday - 7⁰C

= 36⁰C - 7⁰C

= 29⁰C

Therefore, final temperature on Sunday is 29⁰C.

Hence, this is the required solution.

Answer:

40

Step-by-step explanation:

Answer:

$1,186.92

Step-by-step explanation:

You multiply $1099 by 8% or 0.08, which is 87.92. Then add those 2

Answer:

Ok, and it's 9.35423007

Step-by-step explanation:

Answer: 9.35423006695

Step-by-step explanation:

Answer:

0.46666666666...

Step-by-step explanation:

divide 7 by 15 :/

Answer:

.4666666666...

Step-by-step explanation:

7/15

to get 7/15 to a decimal you want to divide 7 by 15

7/15 = .466666...

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

So

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m

Answer:

A

Step-by-step explanation:

all triangles equal 180°, it gives you two angles on each triangles. if you add them together and subtract that from 180 you'll get the final angle. the angles on both triangles Are 45,63, and 72. (they add up to 180) and because both triangles have two angels that are the congruent. they are similar by the Angle angle postulate.

Answer:

3

Step-by-step explanation:

8ab / 2bc

8(3)(1/2) / 2(1/2)(4)

24(1/2) / 1(4)

12 / 4

3

Answer:

3

Step-by-step explanation:

Answer:

x= 23

Step-by-step explanation:

180 minus 3 is 87

3 times 23

87

Answer:599998000Step-by-step explanation: their is your answer

Answer:

ITS A TEST WE NOT SUPPOSED TO TEO

Step-by-step explanation:

Answer:

DE = 15, AB = 6

Step-by-step explanation:

Because the triangles are similar, that means that the sides are proportional to each other. The ratio of CE to AC is 24/8 which is 3. That means that each length of the small triangle is 3 times smaller than the same side on the larger triangle.

Answer: 10

Step-by-step explanation:

(AP3X

Answer:

constant

Step-by-step explanation:

3 is the coefficient, b is the variable, 4 and 7 are the constants.