A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of

soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?

Answers

Answer 1

The number of marbles in the bag is illustrated using proportions.

There are 15 basketballs in the bin

The given parameters are:

[tex]\mathbf{B : S = 3 : 1}[/tex]

[tex]\mathbf{S : D = 1 : 4}[/tex]

[tex]\mathbf{n = 40}[/tex]

First, we combine the ratios

[tex]\mathbf{B:S:D = 3:1:4}[/tex]

The number of basketballs is calculated as follows:

[tex]\mathbf{Basketball= \frac{B}{B + S + D} \times n}}[/tex]

So, we have:

[tex]\mathbf{Basketball= \frac{3}{3 + 1 + 4} \times 40}[/tex]

[tex]\mathbf{Basketball= \frac{3}{8} \times 40}[/tex]

[tex]\mathbf{Basketball= 3 \times 5}[/tex]

[tex]\mathbf{Basketball= 15}[/tex]

Hence, there are 15 basketballs in the bin

Read more about ratios and proportions at:

https://brainly.com/question/7810782


Related Questions

Which expression gives the correct volume of the steps?

Math item stem image
CLEAR CHECK

4×4×1 cubic feet



(4×4×1)+(3×3×3) cubic feet



(4×4×1)+(3×3×1)+(2×2×1)+(1×1×1) cubic feet



(4×4×4)+(3×3×3)+(2×2×2)+(1×1×1) cubic feet

Answers

Answer:

(4×4×4)(3×3×3)(1×1×1) Cubic feet

Lola's puppy weighed 19 ounces on the second visit the puppy had gained 9 ounces on the third visit the puppy heaven gained another 7 ounces what is the percent increase since the first visit and the puppy weighed around to the nearest percent

Answers

Answer:

84%

Step-by-step explanation:

In order to calculate this, we first need to calculate the total weight of the puppy on the last visit. We do this by adding the weight that the puppy gained each visit like so...

19oz + 9oz + 7oz = 35oz

Now that we have the final weight we simply divide the final weight by the initial weight of the puppy in the first visit. Then we subtract 1 from that value and multiply by 100 to get the percentage increase.

35oz / 19oz = 1.84

1.84 - 1 = 0.84

0.84 * 100 = 84%

Finally, we can see that the puppy had an 84% increase since the first visit.

La Sra.Elena y el Sr.Eulalio,abortan taxis diferentes de la misma empresa el costo del servicio es un importe fijo de salida (banderazo) mas otra cantidad por los kilometros recorridos.Si la SraElena paga $190 por recorrer 8 km y el Sr Eulalio paga $130 por correr 5 km calcular el costo de banderazo y el costo por kilometro recorrido

Answers

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

[tex]x+8y=190\quad ...(i)[/tex]

[tex]x+5y=130\quad ...(ii)[/tex]

Aplicando [tex](i)-(ii)[/tex]

[tex]8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20[/tex]

Sustituyendo en [tex](ii)[/tex]

[tex]x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30[/tex]

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”

Answers

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

PLEASE HELP ME I NEED THIS ALOT!
1 . Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
Please help i'm really stuck on these questions!! :(

Answers

1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.

120e/1h

2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.

105e/1h

Evaluate square root of 121

Answers

Answer:

the square root of 121 is 11

the square root of 121 is 11

Kevin mowed 12 laws and earned a total of $60 which represents the amounts of money earned per lawn

Answers

Answer:

$5 per lawn

Step-by-step explanation:

60 divided by 12 = 5

please help will mark brainliest

Answers

Answer:

two

Step-by-step explanation:

1. Which of the following linear equations has a negative slope? Circle all that apply. A. y = 2x – 5 B. y = 4– 7x C. y=-3 D. X = -1 E. y=-5/4x+2 F. y=1/2x-2​

Answers

Answer:

C) y= -3, D) x= -1, E y= -5/4x +2

Step-by-step explanation:

C D and E if you plot them on a graph it would be a negative slope

Can someone tell me the answer?

Answers

Answer:

5

Step-by-step explanation:

16÷3=5r1. Hope this helps

please help im about to get in trouble

Answers

The answer is by changing the values 0,4 3,6 6.8 9.10 make it 0,4  3,8  6,12 9,16

Step-by-step explanation:

I am just that smart

A customer purchased a total of 10 hats and scarves. Each hat cost $4.50 and each scarf cost $3.00. The customer spent $36.00 all together.

How many hats did the customer buy?

Enter your answer in the box.

Answers

Answer:

The customer bought 4 hats, and 6 scarves.

Step-by-step explanation:

$4.50x4 = $18

$3.00x6 = $18

$18 + $18 = $36!

Please mark "Brainliest"!?

- Pricespidey

Mario makes 6 free throw shots out of his first 10 attempts.

Answers

Answer;

he missed 4 of his shots

Step-by-step explanation:

Mario made 4/10 shots

Plz hurry I will give 17 points

their notes to help them process the
The editing and formatting features of eNotes allow students to blank
information.

The answers are organize,translate,increase,misplace

Answers

Your answer should be organize, correct me if I’m wrong !

Answer:

Organize

Step-by-step explanation:

The cost of toilet paper increased by 50% after the "Great Toilet Paper Shortage" of 2020.

If toilet paper cost $6.50 before the shortage, how much did it cost after the shortage?​

Answers

Answer:

I think 9.25

Step-by-step explanation:

Answer:

9 dollar

Step-by-step explanation:

it is now 9 dollar because the increase was 3.00

Determine the intercepts of the line.
y = -32 + 12
y-intercept:
x-intercept:

Answers

Answer:

y-intercept: 12

x-intercept: unknown

Step-by-step explanation:

I think you meant y=-32x+12.

Tim and Lizzy are going camping. Tim has x amount of marshmallows for making stores. Lizzy has 6 times as many marshmallows as Tim.


What expression represents how many marshmallows Lizzy has?
x - 6

6/x

6x

6 + x


I NEED THIS ASAP PLEASEEEE!

Answers

Answer:

......................

6x or C because the expression says Lizzy has 6 times the amount of marshmallows Tim has. Tim has x amount of marshmallows so the expression for Lizzy’s marshmallows is 6 times x. Because x can be a variable in algebra we just write the expression as 6x.

Please help! Almost done! thx

Answers

Answer:

c^2 = a^2 + b^2 - 2ab cos(C)

Step-by-step explanation:

The angle at A is named A, the angle at B is named B, and the angle at C is named C

A case of canned dog food has 12 cans. Each can has 12.5 ounces of food. If Synceer’s dog eats 18 ounces of canned dog food a day, how many days will a case of canned dog food last?

Answers

Answer:

8 Days with 6 ounces of Dog Food left Over

Step-by-step explanation:

12 Cans per Case x 12.5 ounces per can = 150 Ounces Total

150 Ounces/18 ounces per day= 8.3333333333333 Days

.3333333333333 Days x 18 ounces = 6 remaining ounces.

This is urgent!!!! PLEASE DON'T HELP!!!​

Answers

Answer:

okay

Step-by-step explanation:

dont want help? bye good luck!

compare 5_5.4 by choosing <,>,or =​

Answers

Answer: five is < than 5.4

Consider the line y=-2/7x-7
and the point is (-7,-4) what would the perpendicular line be and the parallel be

Answers

Answer:

a) The equation of line perpendicular to above line and passes through point (-7,-4) is [tex]\mathbf{y=\frac{7}{2}x+\frac{41}{2}}[/tex]

b) The equation of line parallel to above line and passes through point (-7,-4) is [tex]\mathbf{y=-\frac{2}{7}x-6}[/tex]

Step-by-step explanation:

We are given the line: [tex]y=-\frac{2}{7}x-7[/tex]

The slope of the above equation is: [tex]m=-\frac{2}{7}[/tex] (By comparing with general form [tex]y=mx+b[/tex] where m is slope)

a) Find equation of line perpendicular to above line and passes through point (-7,-4)

If two lines are perpendicular there slopes are opposite reciprocal i.e [tex]m_1=-\frac{1}{m_2}[/tex]

The slope of new line will be: [tex]m = \frac{7}{2}[/tex]

Now finding y-intercept using slope and point (-7,-4)

[tex]y=mx+b\\-4=\frac{7}{2}(-7)+b \\-4=\frac{-49}{2}+b \\b=-4+\frac{49}{2}\\b=\frac{-8+49}{2}\\b=\frac{41}{2}[/tex]

So, the equation of line perpendicular to above line and passes through point (-7,-4) will be:

[tex]y=mx+b\\y=\frac{7}{2}x+\frac{41}{2}[/tex]

So, the equation of line perpendicular to above line and passes through point (-7,-4) is [tex]\mathbf{y=\frac{7}{2}x+\frac{41}{2}}[/tex]

b) Find equation of line parallel to above line and passes through point (-7,-4)

If two lines are parallel there slopes are same i.e [tex]m_1=m_2[/tex]

The slope of new line will be: [tex]m = -\frac{2}{7}[/tex]

Now finding y-intercept using slope and point (-7,-4)

[tex]y=mx+b\\-4=-\frac{2}{7}(-7)+b \\-4=-2(-1)+b\\-4=+2+b \\b=-4-2\\b=-6[/tex]

So, the equation of line parallel to above line and passes through point (-7,-4) will be:

[tex]y=mx+b\\y=-\frac{2}{7}x-6[/tex]

So, the equation of line parallel to above line and passes through point (-7,-4) is [tex]\mathbf{y=-\frac{2}{7}x-6}[/tex]

The line that passes through (2, 4) and (0, 8) can be expressed by which of the following

Answers

Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped

whats the slope (1,8) and (4,6)​

Answers

Answer:

-2/3

Step-by-step explanation:

What is the slope of the line that passes through the points listed in the table.

It should be easy I’m just not smart.

Answers

Answer:

this answer will be b

Step-by-step explanation:

PLEASE HELP!!!! THIS IS MY LAST QUESTION!!!WILL GIVE BRAIN}!!!

Answers

Answer:

x^2+7

Step-by-step explanation:

The graph shown represents a system of equations used to solve a polynomial inequality. If the polynomial expression must be greater than 50, which represents the solution set of the inequality? (–7, 0) U (2, ∞) (–7, –5.94) U (–2.469, 3.409) (–5.94, –2.469) U (3.409, ∞) (–5.94, –2.469) U (2, ∞)

Answers

Answer:c

Step-by-step explanation:

Answer:

C forsure i just did it just trying to help

Step-by-step explanation:

Can someone please help?!

Answers

Answer: B

Explanation:










Write a linear function f with the values f(−1)=5 and f(3)=4.

Answers

Answer:

f(x)=-0.25x+4.75

Step-by-step explanation:

-0.25x+4.75

-0.25(-1)+4.75=5

-0.25(3)+4.75=4

Hope this helps!

The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

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