On the Ford Aquatics swim team, 11 year olds and 12 year olds swim together. The Gold team has a 2:3 ratio of 11 year olds to 12 year olds. The Silver team has a 3:8 ratio of 11 year olds to the total swimmers. If the two teams have the same number of 11 year olds what could the size of the teams be?

Answers

Answer 1

Answer:

The Gold team has 8 swimmers and the silver team also has 8 swimmers.

Step-by-step explanation:

Let T be the total number of swimmers on the Gold team. Since, the Gold team has a 2:3 ratio of 11 year olds to 12 year olds, the number of 11 year old is T' = 2/(2 + 3) × T = 2T/5 and the number of 12 year olds is T" = 3/(2 + 3) × T = 3T/5.

The silver team has a 3:8 ratio of 11 year olds to the total swimmers. Let T₁ be the number of 11 year old swimmers in the silver team. So, from the ratio 3:8, the number of 11 year old swimmers in the silver team is 3 and the total number of swimmers in the silver team is 8.

Since the number of 11 year old swimmers in both teams are the same, then

2T/5 = 3

T = 3 × 5 ÷ 2

T = 15/2

T = 7.5

T≅ 8

So, the Gold team also has 8 swimmers.

So, the Gold team has 8 swimmers and the silver team also has 8 swimmers.


Related Questions

How is multiplying two binomials the same as multiplying two complex
numbers? How is it different?

Answers

Answer:

the process of multiplying these two complex numbers is very similar to multiplying two binomials! Multiply each term in the first number by each term in the second number.

Step-by-step explanation:

there

What is the answer to this quadratic equation: 6x² + 11x – 35

Answers

Answer:

Step-by-step explanation:

This thing looks like you have to use the quadratic equation to solve it. You don't. It will factor. but you might have to guess a bit.

(3x       )(2x      )

(3x - 5 ) (2x + 7)                       How lucky is that!!?

Remove the Brackets

3x * 2x + 3x*7 - 5*2x - 35       Combine

2x*3x^2 + 21x - 10x - 35            

6x^2 + 11x - 35

So the guess turns out to be correct. Now we need to solve for the roots.

3x - 5  = 0                             Add 5 to both sides.

3x = 5                                   Divide by 3

x = 5/3

x = 1.6667

2x + 7 = 0                            Subtract 7 from both sides

2x = - 7                                Divide by 2

2x/2 = - 7/2

x = - 3.5

Answer

x = 1.667 orx = - 3.5

The local furniture store pays $120 for a lamp and sells it with a 20% markdown. What is the
selling price of the lamp?

Answers

Answer:$24

Step-by-step explanation:

To find 20 percent of a number you multiply the number by 20, then multiply the answer by .01.

120 x 20 = 2400

2400 x .01 = 24

Answer: I think its 24 tell me if I'm wrong

20 divided by 100 gives you 0.2

0.2x120 gives you 24

This stuff is so confusing can anyone help

Answers

Answer:

question 10: 66

Step-by-step explanation:

[tex] \frac{6 \times 121}{11} = 66[/tex]

During each week of piano lessons, Elijah learns to play 2 new pieces. In all, how many weeks of piano lessons will Elijah need before he will be able to play a total of 8 pieces?​

Answers

Answer:

4 weeks

Step-by-step explanation:

you just take 8/2 and you get 4

Answer:

4 weeks

Step-by-step explanation:

(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?

Answers

Answer:

it might be 13/3 or just 13

Step-by-step explanation:

try doing 200 divided by 15

PLS HELP !!!











have a good day B)

Answers

Answer:

it is a wild flamenco

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!!!!!

Answers

Answer:2/5

Step-by-step explanation:

Answer: The answer would be D

Step-by-step explanation: To solve this problem you first need to add up all the total number of bills, which is 20. Then you want to format it 8/20 because there are 8 twenty dollar bills which means there is an 8/20 chance for you to get a twenty. Then simplify it if you can.

Help me with my math 8th grade​

Answers

3c means = 3 x c

2c means = 2 x c

and so on

so  if c = - 3

3 x (-3) x (2 x (-3) - 1) - 5 x (3 x (-3)² + (-3))

= -9 x (-6 - 1) - 5 x (3 x 9 - 3)

= - 9 x (-7) - 5 x (27 - 3)

= 63 - 5 x 24

= 63 - 120

= - 57

Answer :

- 57

Given expression :

[tex]{ \longrightarrow\qquad \sf 3c(2c-1)-5(3c {}^{2} +c)}[/tex]

When c = (-3) ,

[tex]{ \longrightarrow\qquad \sf 3( - 3) \bigg[2( - 3)-1 \bigg]-5 \bigg[3( - 3){}^{2} +( - 3) \bigg]}[/tex]

[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 6-1 \bigg]-5 \bigg[3( 9)+( - 3) \bigg]}[/tex]

[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 7 \bigg]-5 \bigg[27 - 3 \bigg]}[/tex]

[tex]{ \longrightarrow\qquad \sf 63-5 \bigg(24 \bigg)}[/tex]

[tex]{ \longrightarrow\qquad \sf 63-120}[/tex]

[tex]{ \longrightarrow\qquad \bf - 57}[/tex]

Therefore,

The value of the expression when c = (-3) is -57

Noel's age in 8 years will be three times as old as it was 2 years ago. How old is Noel now?

Answers

Answer:

6

Step-by-step explanation:

let Noel's age be x

if Noel's age in 8 years will be three+times as old as it was 2 years ago:

x%2B8=3%28x-2%29

x%2B8=3x-6

6%2B8=3x-x

2x=14

x=7

Noel is 7 years old now

Can someone please help?

Answers

Answer:

k=−(x−h) 2+r 2 +y

Step-by-step explanation:

Subtract (x−h)   from both sides of the equation.

Subtracting (x−h) from itself leaves 0.

Subtract (x−h)from r

Take the square root of both sides of the equation.

Subtract y from both sides of the equation.

subtracting y from itself leaves 0.

Dividing by −1 undoes the multiplication by −1.

Find the slope between the points (-6, 1) and (7,5).

Answers

Answer:

4/13

Step-by-step explanation:

There are 32 students in a class. Nine of those students are girls. What percent are boys? (Round your answer to the nearest WHOLE person.)

Answers

The answers 23...subtract 32-9
32 - 9 = 23

23/32 = 0.718

0.718 x 100 = ~72%

Solve x÷2<4. Graph the solution.

Answers

Answer:

The solutions are (-2, 0) and (1, 3).

Step-by-step explanation:

Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve

-x² + 4 = x + 2

Create two curves as follows:

y = -x² +4

and

y = x + 2

By graphing the two curves together, their points of intersection are the solutions.

y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.

y = x + 2  is a straight line with slope - 1 and with y-intercept = 2

The points of intersection are (-2, 0) and (1, 3).

Two crocodiles together can finish their snacks in 40 seconds

Answers

Answer:

That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.

[tex]:)[/tex]

The time it will take the second crocodile to finish its snack is 120 seconds

Ratio and proportions

Let x represent the rate of the first crocodile and let y represent the rate of the second crocodile.

The two crocodiles working together can finish a snack in 40 seconds. Thus;

(1/x + 1/y)40 = 1

It takes one of the crocodiles 60 seconds to finish its snack. Thus;

(1/x + 1/60)40 = 1

40/x + 2/3 = 1

x = 120 seconds

Read more about ratios and proportions here at; brainly.com/question/12442233

Complete question:

Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?

A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?

Answers

Answer:

The answer is 22.

Step-by-step explanation:

if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)  

Answer:

22 gallons per hour

Step-by-step explanation:

1036-860=176

176/8=22

22 gallons per hour is your answer

your aunt gave you 20 pieces of candy and you ate 2 pierced each day after a certain number of days there are 8 pieces how many days before there were only 8 pieces left?

Answers

Answer:

I believe 11 days.

Step-by-step explanation:

If you're looking for how many days until you had 8 including that day then it would be 11. But if you're just looking for days before, not including the day you got 8, your answer would be 10. Sorry if this doesn't help. Hope you have a good day/night!

Answer:

Step-by-step explanation:


set it up as an algebra equation- 20 = 2x - 8. You subtract 8 from the 20 original candy, since that’s what you have left. You end up with 16 candy.


divide by 2, for 2 candies a day, and you end up with 6.


You eat that much candy in 6 days

the running back for the bulldogs football team carried the ball 5 times for the total of losses of 11 1/4 yards. find the avrege change in field positionon each run. enter the evrege change as a simplified mixed number

Answers

Answer:

-2 1/4

The average change in the field position run was -2 1/4 yards

To find the answer to the problem, solve the
system of equations for x.
y = 200 + 10x
y = 50x

Answers

Answer:

the first one --->  x=[tex]\frac{y-200}{10}[/tex]

second one ----> x=[tex]\frac{y}{50}[/tex]

Step-by-step explanation:

X= 5
Y=250
(5,250)
You get this answer by substituting the y in the first equation with the 50x because they are the same thing. Then you solve for x and get x equal 5. Then you substitute 5 into the second equation and get 250

Norton started driving at 9 am by noon he had traveled 162 mi what was his average speed?

Answers

Answer:

54mph (or 54 mi/h)

Step-by-step explanation:

9 am to the noon is 3 hours.

S=d/t   where S=average speed, d=distance, and t=time

S=162/3=54

Hope that helps!!!

Answer:

54 mph

Step-by-step explanation:

Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54. This is correct

Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.

Answers

Check the picture below.

1. After quarantine is over, you and your family are planning to rent a van for a 1-day trip to Knott’s Berry Farm in Buena Park, CA. For the type of van, your family would like to rent, you can choose from the following options:

• Enterprise Rent-A-Car: $50 per day and $0.25 a mile

• Alamo Car Rental: $45 per day and $0.35 a mile

• Budget Car Rental: $40 per day and $0.30 a mile

• Hertz Car Rental: $30 per day and $0.45 a mile

• Thrifty Car Rental: $35 per day and $0.50 a mile


(a) Choose two of the car rental companies above that you would like to compare prices for and write a mathematical model to represent the cost of renting a van from the two companies.


Rental Company Choice Mathematical Model

A.

B.



(b) Graph these mathematical models in each blank graph provided on the next page. Make sure your model A matches graph A and your model B matches graph B. Please label the graph axes appropriately.

Answers

9514 1404 393

Answer:

  A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x

  B) see attached graph

Step-by-step explanation:

A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).

  Enterprise: E(x) = 50 +0.25x

  Hertz: H(x) = 30 +0.45x

- 9x = 81 plsssss help me will cash app put it below the answer !

Answers

Divide both sides of the equation by the same factor. -9/-9 = 81/-9. simplify x= -9 and the answer is x= -9

Please help. I will give Brainly it really would help

Answers

12075 is the answer for this problem because if you use a calculator, it gives you the answer..

Answer: The following image lays out everything you for you. Glad I could help!

Find x
Somebody please help me

Answers

Answer:

x=106

Step-by-step explanation:

I stitched a photo on how i got to my answer.

Solve the systems of inequalities:

Answers

Step-by-step explanation:

Add the equations to eliminate q

5p-3q<0

3p+3q<24

8p<24

p< 3

Plug in value of p to an equation

3(3)+3q<24

3q<24-9

q< 5

A family of 2 children and 1 adult visited an amusement park and paid an entry fee of $90. Another family of 3 children and 2 adults visited the same amusement park and paid an entry fee of $155. What is the entry fee for a child at the amusement park?

Answers

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

[tex]\leadsto[/tex]Let us assume entry fee for child be x

[tex]\leadsto[/tex]Let us assume entry fee for adult be y

[tex]\\[/tex]

[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]

[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]

Multiplying eq (1) by 2 it will be -

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]

Subtracting eq(2) from eq(3) -

[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]

Thus , entry fee for a child at the amusement park = $ 35

How do I simply the following equation?

(c^2/b + cb) /a

Please give an in-depth explanation, I didn’t understand the explanation my teacher gave me. Thank you!!

Answers

Answer: search up Expand and simplify trinomial square (a + b + c)^2 = a^2+b^2+c^2+2ab+2ac+2bc  on yutube and a video named that should show up

Step-by-step explanation:

this video helped me hope it could help you as well!

A dart player made 59 bulls eyes out of 100 attempted throws. What percent of the throws were pills eyes please helppppp

Answers

Answer:

59 percent

Step-by-step explanation:

59 divided by 100 is 0.59, which means 59 percent.

Also, when the total is 100, then the amount out of 100 is the percent ( 59 out of 100 is 59 percent, because it is out of 100).

what is the slope of the line

Answers

Answer:

-1/3.

Step-by-step explanation:

The line passes by the points (-4,1) and (2,-1). The slope is:

(-1-1)/(2-(-4))=(-2)/6=-1/3

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