In Coach Sullivan's gym class, there are 28 girls and 35 boys. Coach Sullivan plans to divide the students into teams so that each team has the same number of girls and the same number of boys. Coach Sullivan also wants to make as many teams as she possibly can.

How many teams will Coach Sullivan be able to make? How many girls will be on each team? How many boys will be on each team?

Answers

Answer 1
This a problem of GCF ( greatest common factor)
We have 28 girls and 35 boys.
28 is divisible by 2, 7 and 14 →→28 = 2x2x7
35 is divisible by 5 and 7 →→→→35 = 5x7
We notice that the greatest COMMON factor is 7.
If we divide the 28 girls by 7 we will get 7 teams with 4 girls in each team 
If we divide the 35 boys by 7 we will get 7 teams with 5 boys in each team 

Answer: 7 teams of girls and each team has 4 girls
      And 7 teams of boys and each team has 5 boys   




Related Questions

First right answer gets brain

Answers

I believe the answer is plane

Jaidee made her trip to the train station and back. The trip there took two hours and the trip back took five hours. She averaged 30 mph faster on the trip there than on the return trip. What was Jaidee's average speed on the outbound trip?

Answers

The trip to the train station:  t 1 = 2 h,  v 1 = d / t 1, v 1 = d / 2, where d is the distance from the train station.
The trip back:
t 2 = 5 h,  v 2 =  d / t 2,  v 2 = d / 5
Also:  v 2 = v 1 - 30
d / 5 = d / 2 - 30
d / 2 - d / 5 = 30
0.3 d = 30
d = 30 : 0.3
d = 100 miles.
v 1 = 100 / 2 = 50 mph
We can prove it: v 2 = 50 - 30 = 20 mph
100 miles = 50 mph * 2 h = 20 mph * 5 h 
Answer: Average speed on the ongoing trip was 50 mph. 

A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.

Answers

To find 65% of 40 multiply 40 by the percentage in decimal form (0.65) to get 26
26 because 0.65 times 40 to find how many passes he will complete out of the 40 will be 26 passes your welcome:]

Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how much has Carmen received in dividends?

Answers

153 x 7.14 = 1092.42
so every year she gets $1092.42
so times that by 6 and the answer is $6554.52

Answer: $6554.52


Step-by-step explanation:

Total number of shares bought by Carmen =153

A constant yearly dividend paid by each share=$7.14

Thus, 153 shares pays yearly dividend =[tex]153\times7.14=\$1092.42[/tex]

After 6 years, total dividend received by Carmen=[tex]6\times1092.42=\$6,554.52[/tex]

Hence, The total dividend received by Carmen in 6 years = $6554.52


A water tower is used to store fire fighting water at an industrial plant. The tank on top of the tower is in the shape of a cylinder with a height of 15 feet and a diameter of 7 feet. One cubic foot is approximately 7.5 gallons. how many gallons are in the tank if its 55% full?

Answers

V=hπr^2

(15π(3.5^2)ft^3)(55/100)(7.5gal/ft^3)≈2381.23 gal  (to nearest hundredth of a gallon)

Rick and Ben had the same amount of money. Ben spent $138. In the end,Rick had 4 times as much as Ben.How much did Rick have?

Answers

At the start, Ben and Rick have the same amount of money.  Let x represent that amount.

Rick's money:  x
Ben's money:  x

Then, Ben spends $138.

Rick's money:  x
Ben's money:  x - 138

At that point, Rick has 4 times the amount that Ben has.

x = 4(x - 138)
x = 4x - 552
552 = 3x
184 = x

Rick has $184.

the selling price of a house dropped from 250,000 to 210,000 over a period of five years. By what percentage didnthe sellling price decrease?

Answers

Final answer:

The selling price of the house decreased by 16%.

Explanation:

To find the percentage decrease in the selling price of the house, we need to calculate the difference between the initial selling price and the final selling price, and then divide that by the initial selling price. Finally, we multiply the result by 100 to get the percentage decrease.

Difference = Initial Selling Price - Final Selling Price = $250,000 - $210,000 = $40,000Percentage decrease = (Difference / Initial Selling Price) x 100 = ($40,000 / $250,000) x 100 = 16%

Therefore, the selling price of the house decreased by 16%.

Final answer:

The selling price of the house decreased by 16%.

Explanation:

To find the percentage decrease in the selling price of the house, we can use the following formula:

Percentage decrease = ((Initial price - Final price) / Initial price) x 100

In this case, the initial price is $250,000 and the final price is $210,000. Plugging these values into the formula, we get:

((250,000 - 210,000) / 250,000) x 100 = (40,000 / 250,000) x 100 = 0.16 x 100 = 16%

Therefore, the selling price of the house decreased by 16%.

plz help you have to turn your phone to the side

Answers

I agree with your choice
[tex]Perimeter=2\times Width+2\times Length[/tex]
[tex]P=2w+2l[/tex]
[tex]P=2(9)+2(x)[/tex]
[tex]P=18+2x[/tex]

Can some one please help me ?

Answers

110% =1.10

 multiply the old price by that

2.85 *1.10 = 3.135

 round to 3.14

 new price is $3.14

The answer will be D

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

Answers

There're a lot of many irrational that meet the requirement. For example:
[tex]11/ \pi * \pi /7[/tex] where[tex]11/ \pi [/tex] and [tex] \pi /7[/tex] represent irrational numbers
Cancel [tex] \pi [/tex] out to get 
11/7
 [tex] \sqrt{2} * \sqrt{2}= \sqrt{4} =2=2/1[/tex]  where[tex] \sqrt{2} [/tex]  is known as irrational number. As a result, these are some examples of how an irrational number times another irrational number to get rational. Hope it help!

Answer:

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

     

A

a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle

Answers

It is a right triangle (90 degrees is the other angle)

Which of the sets of ordered pairs represents a function?

A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}

B = {(4, 2), (3, −2), (9, 4), (11, −3)}

Answers

(x,y)
if x repeats with a differnt y then it is not a function


A. none of them repeat, it's a function
B. none of them repeat, it's a function

both of them are functions

math question down below

Answers

Set up a proportion

45/225= x/100

45/225 simplifies to 1/5.

1/5= x/100
5*20=100
1*20=20=x

Final answer: 20%
Your answer is 500% Here's why: 2. We assume, that x is the value we are looking for.  If 100% equals 45, so we can write it down as 100%=45. 
 We know, that x% equals 225 of the output value, so we can write it down as x%=225. 
Now we have two simple equations:
1) 100%=45
2) x%=225
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45/225
 Now we just have to solve the simple equation, and we will get the solution we are looking for.
 Solution for 225 is what percent of 45

100%/x%=45/225
(100/x)*x=(45/225)*x       - we multiply both sides of the equation by x
100=0.2*x       - we divide both sides of the equation by (0.2) to get x
100/0.2=x 
500=x 
x=500

now we have: 
225 is 500% of 45 That's your answer. Hope I helped! 

Model the function rule y = -2x - 3 with a table of values. Show your work.

Answers

to make out table, we will pick random numbers and sub them in for y to find y.

y = -2x - 3....subbing in 0 for x
y = -2(0) - 3
y = -3....so when x = 0, y = -3....(0,-3)

y = -2x - 3...subbing in 1 for x
y = -2(1) - 3
y = -2 - 3
y = -5....so when x = 1, y = -5...(1,-5)

y = -2x - 3...subbing in 2 for x
y = -2(2) - 3
y = -4 - 3
y = -7...and when x = 2, y = -7...(2,-7)

ur table would then be :

   x          y
  0          -3
  1          -5
  2          -7

u can add more points if needed...but I think u can figure it out now.
y=-2x-3

-2(-3)-3= (6)-3= 3
-2(-2)-3=(4)-3= 1
-2(-1)-3=(2)-3= -1
-2(0)-3=(0)-3= -3
-2(1)-3=(-2)-3= -5
-2(2)-3=(-4)-3= -7
-2(3)-3=(-6)-3= -9

x  l   y
-3   3
-2   1
-1   -1
0    -3
1    -5
2    -7
3    -9

An arrow is shot upward with a velocity of 64 feet per second. Using the formula h(t)=64t-16t^2, how long after the arrow is released does it hit the ground?

Answers

It hits the ground when h(t)=0

-16t^2+64t=0  factor

-16t(t-4)=0, we know t>0 so

t=4 seconds.

Answer:

After the 4 second arrow is released, it will hit the ground.

Step-by-step explanation:

Consider the provided formula.

[tex]h(t)=64t-16t^2[/tex]

We need to find how long after the arrow is released does it hit the ground.

If the arrow hit the ground that means the value of h(t)=0.

Substitute the value of h(t)=0 and solve the equation as shown.

[tex]64t-16t^2=0[/tex]

[tex]16t(4-t)=0[/tex]

Now use zero product rule: If ab=0 then either a=0 or b=0

[tex]16t=0\ or\ 4-t=0[/tex]

[tex]t=0\ or\ -t=-4[/tex]

[tex]t=0\ or\ t=4[/tex]

Hence, after the 4 second arrow is released, it will hit the ground.

what is 18 divided by negative 3

Answers

18 / -3 = -6

answer

negative 6 is 18 divided by negative 3

hope it helps
[tex]18/-3 = -6[/tex]

A negative divided by a positive concludes in a negative.
Check your work. 

[tex]-6(-3) = 18[/tex]

A negative times a negative equals a positive. 

Which is colder 0°F or 6°F

Answers

because 6 is greater than 0, so 0F would be colder.

"Exponents and Multiplication- Simplify. Your answer should only contain positive exponents." Please help quickly !!

Answers

the answer to number 4 is 2 to the 5th power

The highest score that is a record for a particular video game is 19,749 points. The lowest score on record for the same video game is 176 points. Which of the following inequalities best shows the range of scores recorded on the game?

Answers

According to my algebra knowledge, the answer is D.

They key is the less than or equal to sign.

Have a blessed day :)
Let x represent the score that the individual can get
The highest score that is a record for a particular video game is 19,749 points, and it means that the individual could get 19749 points or lower than that, so the inequality will be like this:
[tex]x \leq 19749[/tex]
Next, the lowest score on record for the same video game is 176 points, and it also means that the individual could get 176 points or lower, so the inequality will be:
[tex]x \geq 176[/tex].
Finally, we have the two inequality we want and let's combine them, to get:
[tex]176 \leq x \leq 19749[/tex]. As a result, D is your final answer. Hope it help!

The area of a triangle is 6 square feet. The base is 3 times its height. What is the base of the triangle?

Answers

The base of the triangle is 2. 

Area=1/2 bh
6=1/2bh
12=bh
height is x, base 3x

12=3x^2
x^2=4

x=2
height = 2 feet

 base = 3*2 = 6 feet


Rewrite the set M by listing its elements. Make sure to use the appropriate set notation

M= {x | x is an integer and -2 < x < 1}

Answers

We are given the rule for the set,
M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

Answers

Final answer:

To find the height of the mat off the ground, we can use trigonometry.

Explanation:

To find the height of the mat off the ground, we can use trigonometry. Since the angles of the right triangle formed by the mat are 60° and 30°, we can determine the height using the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.

In this case, the side opposite the 30° angle is the height of the mat, and the hypotenuse is the length of the mat, which is 5 feet. So, we have sin(30°) = height/5. Solving for the height, we get height = 5 * sin(30°) = 5 * 0.5 = 2.5 feet.

Therefore, the mat is 2.5 feet off the ground.

The correct answer is option B. The height of the gymnastics mat off the ground is [tex]\frac{5\sqrt{3}}{3}}[/tex] feet.

Given that the gymnastics mat extends 5 feet across the floor, this length corresponds to the side opposite the 60° angle in the right triangle.

Let's denote the length of the side opposite the 30° angle as [tex]$x$[/tex].

According to the properties of a 30-60-90 triangle, the side opposite the 60° angle is [tex]\sqrt{3}[/tex] times the side opposite the 30° angle, so we have:

[tex]\[ 5 = x\sqrt{3} \][/tex]

To find [tex]$x$[/tex], we divide both sides of the equation by [tex]$\sqrt{3}$[/tex]:

[tex]\[ x = \frac{5}{\sqrt{3}} \][/tex]

To rationalize the denominator, we multiply the numerator and the denominator by [tex]$\sqrt{3}$[/tex]:

[tex]\[ x = \frac{5\sqrt{3}}{3} \][/tex]

The complete question is:

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

A. [tex]\frac{5}{2}[/tex] ft.

B. [tex]\frac{5\sqrt{3}}{3}[/tex] ft.

C. [tex]5\sqrt{3}}[/tex] ft.

D. 10 ft.

A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is: $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff. How much was the wage bill for the 3 full-time staff?

Answers

one made 36,000, one made 27,000 and one made 21,000. So, in total, the 3 full time staff members made $ 84,000.

The total wage for full-time workers is 84000$.

What is simplification?

Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.

Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.

The Total wage for the full-time staff =  36000 + 27000 + 21000

The total wage for the full-time staff = 84000

Therefore 84000$ was the wage bill for the 3 full-time staff.

Learn more about simplification here:

https://brainly.com/question/746677

#SPJ2

The area of a triangle is 6.75m2. If the base of the triangle is 3 m, what is the height of the triangle?

Answers

answer is given above

A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?

Answers

1 ton = 2000 pounds

4* 2000 = 8000 pounds total

8000 * 0.60 = $4,800.00

it will cost $4,800 to move

Answer:

Step-by-step explanation:

1 ton = 2000 pounds


4* 2000 = 8000 pounds total


8000 * 0.60 = $4,800.00


it will cost $4,800 to move

How to solve: (looking for b)
y =mx+b

Answers

Subtracting mx from both sides, we get y-mx=b

You are watching your favorite soccer player on TV. Statistics show that he has a 37% chance of scoring a goal each time he shoots. He shoots twice. What is the probability that he scores a goal both times?

Answers

Likely and unlikely is the answer

Simplify (9.5)(−2)(−5).

Answers

So you basically just multiply all of them
You get 95
hope this helps:)
(9.5)(-2)(-5)

All you have to do is multiply them :)

{(9.5)(-2) · (-5)}

Simplify.

(-19) · (-5)

Simplify.

95

~Hope I helped!~

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot

Answers

The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,

14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet

The height of the building from the top of the ladder is 12.6 ft

The situation forms a right angle triangle.

Right angle triangle:

A right angle triangle is a triangle that has one of its sides as 90 degrees.

Therefore,

The length of the ladder is the hypotenuse side.

The bottom of the ladder distance from the base of the building is the adjacent side of the triangle. Therefore,

The height of the building from the top of the ladder is the opposite sides. Therefore, using Pythagoras theorem.

c² = a² + b²

14² - 6² = b²

b² = 196 - 36

b² = 160

b = √160

b = 12.6491106407

b = 12.6 ft

learn more on right triangle here: https://brainly.com/question/12553755

7.06) If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m? m < 9 m > 9 m ≤ 9 m ≥ 9

Answers

greatest value of m is les than 9
means m is less than 9

m<9

Hello,

The correct answer is A) m < 9

Hope this helps!!!! Happy Holidays!!!! (:

Other Questions
Why is an untreated acute allergic reaction a life-threatening situation? Can you square both sides of an inequality this the picture for my question Why is it important for scientist to use the international system of units Use the given graph to determine the limit, if it exists. A Find limit as x approaches three from the left of f of x.. Karen bought 45 pound of broccoli and 210 pound of cauliflower. How many more pounds of broccoli did she buy? Patients are listed in a patient register under a unique number, which makes up the: Air contains water in a gaseous form called _____. Where should we assess pulse of an unconscious infant? A giraffe can run 40 meters per second what is its speed in miles per hour Which of the following describes how the natural resources found in North American countries affect their economies? With the many natural resources in these countries, disputes over ownership help grow the economy. With the expenses of transportation, trade is not a large part of the most North American economies. With a wide variety of natural resources, the countries can export to every continent. With limited natural resources, the countries must import more than they export. How many 3 person group can be formed in a club with 8 people? On november 9, 1918, the german republic was proclaimed after: What are the factors of 4x2 + 23x 6? (4x 6)(x + 1) (4x 1)(x + 6) (4x 2)(x + 3) (4x 3)(x + 2) What does crusoe's decision to "take up his state of affairs" in writing reveal about his character? Which of the following reactions is a neutralization reaction? A.ZnCl2(aq) + CaCrO4(aq) ZnCrO4(s) + CaCl2(aq) B.HNO3(aq) + LiOH(aq) H2O(l) + LiNO3(aq) C.2NaOH(aq) + MgCl2(aq) Mg(OH)2(s) + 2Na+(aq) + 2Cl(aq) D.4Fe(s) + 3O2(g) 2Fe2O3(s) What are used to organize text and are identified by the bullet style , indentation, and the size of the text in power point? Mario and luigi want to open up a pizza place. they have determined that the rent will cost them $2,000 per month and administrative salaries will cost $3,000 per month. the variable cost per pizza will be $7.00. mario and luigi estimate they will sell 850 pizzas per month. if mario and luigi sell all 850 pizzas and the only costs they incur are the ones listed above, what is their breakeven price per pizza? What is the important safety information found on a boat's capacity plate? How many moles are there in a 1.40 kg bottle of water? Steam Workshop Downloader