There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?

Answers

Answer 1

Answer:

by taking Hcf of 96 and 72 we get 4 so each team have 4

Answer 2

'24' teams can be made with each team having 4 girls and 3 boys.

Given that,

No. of girls = 96

No. of boys = 72

Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.

96 = 2 * 2 * 2 * 2 * 2 * 3

72 = 2 * 2 * 2 * 3 * 3

GCF = 2 * 2 * 2 * 3 = 24

Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:

No. of girls in each team = Total girls/no. of teams

= 96/24

= 4 girls

No. of boys in each team = Total boys/no. of teams

= 72/24

= 3 boys

Thus, each team will have 4 girls and 3 boys.

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Related Questions

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?

Answers

Answer:

Ok, so the discount is given in a percentage, in this case 10%.  The sale price is going to reflect 10% of the original price minus the discount, so...

Sale $ = original$ - original $ x .10

If we use some algebra, we can reorganize the equation to solve for the original price...

Sale $ = original$ - original $ x .10

Sale $ = original$ (1 - .10)

Sale $ = original$ x .90

original$ = sale$/.90

So now we can plug in our values

original price = 50/.90

original price = 55.55555 = $55.55 to the nearest nickel

Identify the function by that reflects f(x)=5x^3-3 across the x axis and shifts up 2 units

Answers

f(x)= 5(-x^3)-3+2
f(x)=5(-x^3)-1

The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=5x³-3.

When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).

The given function reflected across the x-axis and shifts up 2 units.

Now, g(x)= -(5x³-3)+2

= -5x³+3+2

= -5x³+5

Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

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Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74

Answers

Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

Can anyone Help me pleasee!

Answers

It’s reflected across the y axis

What is the y-intercept in the table of values

Answers

Answer:your mom

Step-by-step explanation:

cause i took it already

(5x + 5 - 2x)(4 + 7x - 1)

Answers

Answer: 21x^2 + 44x + 15

Step-by-step explanation:

first, i used the distributive property.

5x x (4 + 7x - 1) + 5 (4 + 7x - 1) - 2x x (4 + 7x - 1)

then, i removed the parentheses.

20x + 35x^2 - 5x + 20 + 35x - 5 - 8x - 14x^2 + 2x

then, i collected the like terms.

44x + 21x^2 + 15

finally, i reordered the terms.

21x^2 + 44x + 15

PLEASE HELP ASAP i am willing 30 points


You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for FEDERAL INCOME TAX for this pay period was $

Answers

567

becoz it's merits in increment

Someone please help me I only have until January 18th to turn this in. Question: Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag. What is the total weight, in tons, of the dog food Mr. Lopez delivers to the animal shelter?

Answers

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

c=27+10h where c= cost in dollars and h= number of hours rented ​

Answers

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

determnine if each table shown below represents a function or not.

Answers

                                                 Table 1

Input (x)               1            3           5            5              9

Output (y)             7           16          19          20           28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 1, it is clear that:

Each input or x-value of the X set has a unique y-value or output of the Y set. There is no duplicated input (repeated x value).

Therefore, Table 1 represents a function.

                                                Table 2

Input (x)               0.5          7           7            12            15

Output (y)             7           15          10          23           30

 

We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 2, it is clear that:

There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.

As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.

Therefore,  Table 2 does not represent a function.

the table shows the relationship between the number of CDs and their cost at the flea market. Which equation shows the same relationship?

Answers

Answer:

probably 2.5/d

Step-by-step explanation:

my mathematical teacher

Megan ate a fraction of a fruit salad. David ate 1/4 of the rest of the salad. If 9/16 of the salad is left, what fraction did Megan eat?

Answers

Answer:

5/16

sorry if i get it wrong! :(

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)

Answers

Answer:

the second one

Step-by-step explanation:

Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks. °ω°

Answers

Answer:

D ( not 100 percent) hear me out time is constant and I think the constant has to be on the bottom

Step-by-step explanation:

It’s between c and d for me hope this gets you a lil further ahead

please give explanation cuz i dont know how to do this

Answers

Answer:

Step-by-step explanation:

y=a*b^x

a=$2,000

This is the amount that the homeowner borrowed from the lender

b=This would be represented as 1.04 in decimal form

The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)

x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years

Therefore the equation would be y=2000*(1.04)^x

What is the area of a 3/4 yards and 5/6 yard rectangle?

Answers

Answer: 15/24

Step-by-step explanation:

A x B = 5/6 x 3/4 = 15/24

What expression represents the value of y?​

Answers

The expression that represents the solution of y is y = √wz

How to determine the value of y?

The triangle represents the given parameter

Also, we can see that the figure combines two right-angled triangles is

By the theorem of the right-angled triangle

w : y = y : z

Express the above ratio as a fraction

So, we have the following equation

w / y = y / z

Cross multiply in the above equation

So, we have

y² = wz

Take the square roots

y = √wz

Hence, the solution of y is y = √wz

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Select the correct answer.

Simplify.

Answers

Answer:

is it m-9?

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

direct and inverse variation

Answers

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

Covert 7/8 to a decimal to a percent
and show a example how you do It

Answers

Answer:

[tex] \frac{7}{8} \\ = 0.875 \\ = 87.5percent[/tex]

Step-by-step explanation:

To get the decimal we divide: 7÷8=0.875

To get percentage multiply 0.875 by 100 So

0.875×100=87.5%

I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!!!

The figure below shows a square ABCD and an equilateral triangle DPC:


ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle D


Jake makes the chart shown below to prove that triangle APD is congruent to triangle BPC:


Statements Justifications

In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal

Sides of square ABCD are equal

In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° and angle ADP = angle BCP = 90° − 60° = 30°

Triangles APD and BPC are congruent SAS postulate

Which of the following completes Jake's proof? (1 point)


In triangles APD and BPC; AD = BC

In triangles APD and BPC; AP = PB

In triangles APB and DPC; AD = BC

In triangles APB and DPC; AP = PB.

Answers

9514 1404 393

Answer:

  (a)  In triangles APD and BPC; AD = BC

Step-by-step explanation:

We're not concerned with triangle APB, eliminating the last 2 choices.

We're not concerned with sides AP and BP, as they're not sides of the square, eliminating the second choice.

The choice that makes any sense in the proof is ...

  In triangles APD and BPC; AD = BC

Evaluate the expression for the given value of x.

4.5 − 1.5 for = 3

Answers

There is no x? Can’t help because information is missing

Answer:

Either 0, 12, or 9 (Possibly)

Step-by-step explanation:

I'm assuming that you forgot to put the x next to 4.5 or 1.5 or that you forgot to put x next to both of them and that =3 means x=3

Case 1 (4.5x - 1.5x, x = 3):

You can simplify this expression because both of the units are the same (x). 4.5x - 1.5x = 3x. Next, you have to plug in 3, which would be 3 * 3 which is 9.

Case 2 (4.5x - 1.5, x = 3):

Plug in 3 and you would get 13.5 (4.5 * 3) - 1.5, which is equal to 12.

Case 3 (4.5 - 1.5x, x = 3):

Plug in 3 and you would get 4.5 - 4.5 (1.5 * 3), and since they are the same, it is equal to 0.

If none of these are the answer or you are asking something else, feel free to comment on this answer

-Hope this helped-

solve algebraically for all values of x[tex]\sqrt{x-4} +x=6[/tex]

Answers

Answer:

x=5

sqrt of 5-4=1

then 1 +x(5)=6

The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.

To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:

Start with the given equation: (√x - 4) + x = 6.

Begin by isolating the square root term on one side of the equation. Subtract x from both sides:

(√x - 4) + x - x = 6 - x

√x - 4 = 6 - x

Move the constant term to the right side by adding 4 to both sides:

√x - 4 + 4 = 6 - x + 4

√x = 10 - x

Square both sides of the equation to eliminate the square root:

(√x)² = (10 - x)²

x = (10 - x)²

x = (10 - x)(10 - x)

x = 100 - 10x - 10x + x²

x = 100 - 20x + x²

Rearrange the equation to form a quadratic equation:

x² - 21x + 100 = 0

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:

(x - 4)(x - 25) = 0

Set each factor equal to zero and solve for x:

x - 4 = 0 or x - 25 = 0

Solving for x in each case:

x = 4 or x = 25

Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.


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Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5

Answers

Answer:

the answer is A.................

pls help with these two questions!

Answers

Answer:

1. D 2. A

Step-by-step explanation:

please tell me if you need an explanation.

Answer:

Question 1. CQuestion 2. A

Step-by-step explanation:

Question 1

Given equation

(-2/3)x - y = -9

Rewrite in slope-intercept form:

(-2/3)x - y = -9(-2/3)x + 9 = yy = -2/3x + 9

The slope is -2/3 and the y-intercept is 9

Correct answer option is C or third option

Question 1

Given equation

C = 10 + 0.25m

The bill of $25 is represented as:

25 = 10 + 0.25m

Correct option is A or the first option.

Giving brainliest!!!???

Answers

Answer:

B.

Step-by-step explanation:

Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.

I hope this helps :)

A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?

Answers

Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation:

can someone help with this

Answers

Answer: -1

Step-by-step explanation:

Find the Slope

(0, 2) , (1, 1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  _________

     change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m = _____

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

      1 − (2)

m = _____

      1 − (0)

Simplify.

Simplify the numerator.

       −1

m = ____

     1 − (0)  

Simplify the denominator.

      −1

m = ___

        1

Divide −1 by 1.

m = −1

if y=4x+5 what is the slope of the line

Answers

Answer:

4

Step-by-step explanation:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

In this case, check what number replaces the variable for slope, m:

y = mx + b

y = 4x + 5

In this case:

y = y

m = 4

x = x

b = 5

Therefore, 4 is your answer.

~

Hii!

___________________________________________________________

Answer:

Below is all the information you need! ^^

Step-by-step explanation:

Note that the equation that is given to us is in slope intercept form.

The slope intercept formula is y=mx+c, in which.

m=slope

c=y intercept

In the equation y=mx+c, the slope is m.

Similarly, in the equation y=4x+5, the slope is 4.

--

Hope that this helped! Best wishes.

--

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