Mathematics High School

An athletics club has junior
(i.e. boy or girl) members and adult members.
The ratio of girls to boys to adults is 3:4:9
and there are 16 more adult members than
junior members. In total, how many members
does the club have

Answers

Answer 1

Answer:

The total number of members are 128 members

Step-by-step explanation:

From the question, mixing the ratio of children to adult, we have ;

7:9

There are 16 more adult members

So if there are x children, then there are 16 + x adults

Thus, the total number of members will be;

16 + x + x = 2x + 16

Now, we have that;

7/16 * (2x + 16) = x

7(2x + 16) = 16x

14x + 112 = 16x

16x-14x = 112

2x = 112

x = 112/2

x = 56

The total number of members is thus;

2(56) + 16 = 128

Related Questions

declare the variables
set up the equation:
The difference in ages between Joe and his older brother Sam is five years. The sum of
their ages is 35. How old is each brother?

Answers

The answer is 7 because u add them

5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

its false

Step-by-step explanation:

5+4-6=24

9-6=24

3=24 3 does not equal to 24 so its false

Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?

Answers

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

x+0.5y=1.5 solve for y

Answers

Answer:

Y = 3 - 2x

Step-by-step explanation:

Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.

Answers

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

margarite owns a boutique. she sells her jewelry at a 30% markup. if she buys a bracelet for $22, what would she sell it for after the markup?​

Answers

She would sell it for $26.60 after the markup.

Solve for x. Will mark brainliest for the correct answer.

Answers

Answer:

x= 100 degrees

Because the angles are vertical

state if polygons are similar

Answers

Answer:

B

Step-by-step explanation:

What is 33127 rounded to the nearest 100

Answers

Answer:

33127 rounded to the nearest 100 is 33100

Step-by-step explanation:

Answer:

33100

Step-by-step explanation:

the numbers themselves dont go over 50

since its 27 its at tens are 2

we need a five to go over

therefore it doesnt

round up it stays at 100

use this answer hope it helped !

y=x+4

2x+3y=17

SOLVE USING SUBSITUTION

Show work

Answers

Answer:

( 1, 5 )

x = 1

y = 1

Step-by-step explanation:

y = x + 4

2x + 3y = 17

Since they gave us the value of "y" we can use that and substitute it into the equation to find what "x" is.

2x + 3y = 17

2x + 3 ( x + 4 ) = 17

Distributive Property

2x + 3 * x + 3 * 4 = 17

2x + 3x + 12 = 17

Combine Like Terms ( 2x and 3x)

5x + 12 = 17

Subtract 12 on both sides of the equation

5x + 12 - 12 = 17 - 12

5x = 5

Divide by 5 on both sides to isolate the variable

5x/5 = 5/5

x = 1

Now that we have what "x" is, we can substitute that into one of the equations to get the value of "y"

y = x + 4

y = 1 + 4

y = 5

x = 1

y = 5

( x, y )

( 1, 5 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Which expression is equivalent to the measure of 24 in the image below?
5
6
3
1
2
4

Answers

I can’t see the image I’m sorry maybe it’s just me

Can someone help with this.

Answers

A
Both would be considered exterior angles.

Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]

Answers

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi​

Answers

Answer: 16pi

Step-by-step explanation:

8. 0.399 + w = 0.4
Please help!

Answers

Answer:

w = 0.001

Step-by-step explanation:

question:
8.0399+w= 0.4

answer:
w= -7.6399

Mrs. Wong planted 3 tulips for every 4 daffodils. Which of the following could be the total number of tulips and daffodils that Mrs. Wong planted?

30 tulips and 44 daffodils

33 tulips and 34 daffodils

34 tulips and 33 daffodils

36 tulips and 48 daffodils

Answers

33 tulips and 34 daffodils

please help i’ll give you brainlest pleas

Answers

Answer:

20°,40°,75°

Step-by-step explanation:

Subtract the number from 90 and turn the difference to a degree

I’m pretty sure it’s 20°,40°,75°

I rlly need help and the operation bby plssssss help me

Answers

AFE=35 degrees because 180=55+90+x

Answer:

∠ AFE = 35°

Step-by-step explanation:

∠ EFD = ∠ BFC = 55° ( vertically opposite angles )

Since BD is a straight line , then

∠ EFD + ∠ AFE + AFB = 180°, that is

55° + ∠ AFE + 90° = 180

∠ AFE + 145° = 180° ( subtract 145° from both sides )

∠ AFE = 35°

7= -5x
Select one:
O1. Multiply each side by 5.
O2. Multiply each side by -5.
O3. Multiply each side by 1/5.
04. Multiply each side by -1/5.

Answers

Option 2 multiple each side by -5
Option 4. Multiply each side by -1/5
It’s the same as dividing by -5.
The - cancels out and 5/1x1/5 is equal to one

A train travels 240 miles in 6 hours. At this rate, how far could the train go in 13 hours?

Answers

Answer:

Step-by-step explanation:

520 miles

The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.

Answers

Answer:

Step-by-step explanation:

x + y = 25

2x - y = 6           Solve for y in this the second equation. Add y to both sides

2x  = 6 + y         The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25      Combine on the left

3x - 6 = 25           Add 6 to both sides.

3x = 25 + 6           Combine the right

3x = 31                   Divide by 3

x = 31 / 3            

x = 10.333333

x + y = 25

10.33333 + y = 25  Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

X + 5x - 6 < 12 solve for inequality

Answers

Answer:

7

Step-by-step explanation:

x+5x<12

x+5x=12

12-5x

=7

7 divide by 1

=7

Which angle number is adjacent to angle to ZOKL?
​

Answers

Answer:

there aint no picture

Step-by-step explanation:

What is the slope of the graphed line?

Answers

Answer:

3/9

Step-by-step explanation:

3/9 because it goes up 3 right 9

Solve 7+2x over 3 = 5

Please and thank you! x

Answers

Answer:

x = 4

Step-by-step explanation:

(7 + 2x) / 3 = 5

Cross product

7 + 2x = 5 * 3

7 + 2x = 15

Subtract 7 from both sides

2x = 15 - 7

2x = 8

Divide both sides by 2

x = 8/2

x = 4

4|m-n|
If m=-7 and n=2

Answers

you would first substitute -7 for m and 2 for n. It would look like this: 4| -7-2 | . we first solve the absolute value because it is the first step in PEMDAS or order of operations. -7-2 is equal to -9. Our equation should look like this now: 4 |-9| . we solve the absolute value portion, the absolute value of a negative number is the the same number but positive. the absolute value would be 9. (we just take the negative symbol off). we now have 4 x 9. This is equal to 36.

36 is the answer.

You and a friend tutor for a total of 12 hours. Use the
tape diagram to find how many hours you tutor.
You
Friend

Answers

The answer is 2
12/6=2
2x2=4

y = -x + 3
What is the slope for this?

Answers

The slope for this equation is x=3

Matthew buys 13 uniforms for the baseball team. He pays $455 in total. What ratio shows the relationship of price to uniforms?

2Points
Select 2 possible answers.

Remember to reduce the ratio by the GCF

A
1 to 13

B
35 to 1

C
13 to 455

D
455 to 13

Answers

Answer: 35:1

Step-by-step explanation:

Glad I could Help :)

Help please! i have gymnastics soon

Answers

Answer:

A)

Step-by-step explanation:

The answer is A for sure
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