Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.

Answers

Answer 1

Answer:

Soccer = 120

Tennis = 220

Step-by-step explanation:

The total number of students enrolling for soccer and tennis classes is, 340.

The ratio number of students enrolling for soccer and tennis classes is, 6:11.

Then,

6x + 11x = 340

17x = 340

x = 20

The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.

The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.


Related Questions

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

Answers

Answer:

V = 19200 - 12m

Step-by-step explanation:

The pool contains 19200 gallons of water.

Now we are told that water drains from the pool at the rate of 12 gallons per minutes.

Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.

Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.

Thus, total volume V left after m minutes can be expressed as;

V = 19200 - 12m

Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?

Answers

Answer:

20 hours

Step-by-step explanation:

Let x = number of hours

Jordan

Allowance = $10

Pay per hour = $7

Total = 10 + 7x

Alex

Allowance = $20

Pay per hour = $6.50

Total = 20 + 6.50x

Equate total of Jordan and Alex earnings

10 + 7x = 20 + 6.50x

Collect like terms

10 - 20 = 6.50x - 7x

-10 = - 0.5x

Divide both sides by - 0.5

x = -10 / -0.5

= 20

x = 20 hours

Jordan and Alex will both work for 20 hours to have the same amount of money in a week


Find the equation of the line.
Use exact numbers.
Y=?x+?

Answers

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

Learn more about slopes here:

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Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)

If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.

Substitute from -3≤x≤1 (We get 5 points)

f(-3) = 4^-3

f(-3) = 1/4^3

f(-3) = 1/64 (First point) (-3,1/64)

f(-2) = 4^-2

f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)

f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)

f(0) = 4^0 = 1 (Fourth point) (0, 1)

f(1) = 4^1 = 4 (Fifth point) (1,4)

Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?

Answers

He Gave 28 Pieces Of Candy Away
He gave away 28 candies

Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?

Answers

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

5. Do this without using a calculator

Calculate 39 × 63 + 39 × 37

A. 3,510. B. 3,900. C. 4,290. D. 97,812

Answers

Answer:

3900

Step-by-step explanation:

Not really sure how to explain this one.

can you terminate 1/10

Answers

Answer:

Hope this helps...if it dosent, sorry

Step-by-step explanation:

Plzs help I give u BRAINLIST

Answers

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

Help meee pleaseeeeeee :(

Answers

Answer:

I am pretty sure its D

Step-by-step explanation:

If u want to be sure tho search up the dilation scale factor on Google:)

if i’m not mistaken it’s b

Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)

Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g

2. Find the density of a sphere with radius of 2m and a mass of 2kg

Answers

Answer:

Step-by-step explanation:

1st one is 62.5 kilogramic meter

2nd one is 1 kilo kilogram/cubic meter

Step-by-step explanation:

1)First calculate the volume

v=Pir²h

v=3.15×4²×4

v=201mm³

p=m/v

p=0.250/0.201

p=1.24Kg/m³

2)v=3/4pi r³

v=3/4×3.14×2³

v=33.5m³

p=m/v

p=2/33.5

p=0.0597kg/m³

Please help me i can’t get this one right. someone help me please if you know how to do this.

Answers

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?​

Answers

Answer:

1 teaspoon of salt to 3 teaspoons of red pepper flake

Step-by-step explanation: 12 divided by 4

help me plzzzzzzzzzzz

Answers

1. √8, π, 4
2. 5, π+ 2, 17/3,
3. -2, √2 , 1.7
4. 3/2, √5, 2.5
5. √13, 3.7, π + 1
6. √5/2, π - 2, 5/4

Apologies if I got some wrong

Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.

Answers

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In
this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.

Answers

Answer:  

$20 <= X < = $21

Step-by-step explanation:

You are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo,  x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

Mrs. Bartz was going shopping for Halloween Candy for her first grade class. If
a bag of 25 Skittle's costs $4.00, how much would one bag of Skittles cost?

Answers

Answer:

The answer is 0.16

Step-by-step explanation:

because if you add .16 25 times or if you see the other answers it cant be 6.25 or 1.05 you think it could be 0.82 but its not

Answer:

0.16

Step-by-step explanation:

3.46x + 6.38 = -4 the answer

Answers

Answer:

x = -3

Step-by-step explanation:

start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.

   

A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?

Answers

Answer:

[tex]A' =(-y,x)[/tex]

Step-by-step explanation:

Given

Represent point A as thus;

[tex]A = (x,y)[/tex]

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

[tex]Pos = (y,x)[/tex]

Then, y is negated to give A'

[tex]A' =(-y,x)[/tex]

5. 27a3+216b3 ???
tomorrow is the submission :(

Answers

Answer:

(3a +6b) (9a² - 18ab + 36b²)

Step-by-step explanation:

27 = 3 * 3 * 3 = 3³

216 = 6 * 6 * 6 = 6³

a³ + b³ = (a + b)(a² - ab + b²)

27a³ + 216b³ = (3a)³ + (6b)³

                      = (3a + 6b)( (3a)² - 3a*6b + (6b)² )

                      = (3a +6b) (9a² - 18ab + 36b²)

Simplify the expression.
74÷(32)

A. −218
B. 218
C. 76
D. −76

Answers

Answer:

Simplify the expression.

Exact Form:

37

16

Decimal Form:

2.3125

Mixed Number Form:

2

5

16

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?​

Answers

Answer:

x=34

Step-by-step explanation:

If you put Y and X into a ratio then it will be

5:2

because since their GCF is 11, then we will have to divide both of the numbers by 11.

If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.

That will get you 34.

How do you write 8.43 × 10^-4 in standard form?

Answers

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

If you find my answer helpful

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Which could be the first step of an indirect proof of the conditional below?
If x2 = 25, then 5’2= 25 and x = 5,
A. Assume x=5 is true.
B. Assume 52 = 25 is true,
C. Assume x2 + 25 is true.
D. Assume 52.25 and x + 5 are true,

Answers

Answer

Option D

Step-by-step explanation

For further help (727) 335-8234

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Conditions:

x² = 25 then 5² = 25 and x = 5

If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.

So,

We have to assume,

Step 1:

5² = 25

Step 2:

x = 5

Step 3:

x² = 25

Thus,

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

Learn more about equations here:

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Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1

Answers

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1


There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47

Answers

Answer:

impossible you cant get one that is over 5 if it only goes to 5

Step-by-step explanation:

what is an equation equivaent to x=-2

Answers

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .

a) What is an expression for the area of the shed?

Answers

Answer:

w * w+2 = area of the shed

Step-by-step explanation:

Well you just do the width times the width plus two. (please Brainliest)

is -7.8 an irrational number

Answers

Answer:

No.

Step-by-step explanation:

An irrational number has never-ending decimals.

A rational number can be written as a fraction or has a terminating decimal.

-7.8 can be rewritten into a fraction. Its decimal also terminates. Therefore, it is not irrational but rational.

Answer:

-7.8 is rational

Step-by-step explanation:

irrational numbers are nubers that repaet random numbers that you wont know what comes next like pi or the squar root of 2. hope this halps and can you take in consideration of giving me a brainliest?  Thank you

A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true?


The range is 34.

The range is 34.

The mode is equal to the mean.

The mode is equal to the mean.

The mean is greater than the median.

The mean is greater than the median.

The distribution curve is skewed to the right.

Answers

Answer:

The correct option is;

The distribution curve is skewed to the right

Step-by-step explanation:

The given parameters are;

The mean = 58

The outlier = 92

Given that the outlier, P, can be found from the following formula, we have;

P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)

92 > (Q₃ + 1.5 (Q₃ - Q₁)

Given that mean = 58

Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.

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