A stadium has 3000 people, including fans and staff. The ratio of fans to staff is 17:3. If another 500 fans arrive then what is the new ratio of fans to staff?​

Answers

Answer 1

Step-by-step explanation:

Required Answer:-

Total number of people =3000

Let

the number of fans=17x

The number of staff=3x

First we need to find Both numbers of fans and staffATQ

[tex]{:}\longrightarrow[/tex][tex]\sf 17x+3x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 20x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {3000}{20}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=150 [/tex]

Number of fans=17x=17×150=2650Number of staff=3x=3×150=450____________________________

500 more fans arrived

Latest number of fans= 2650+500=3150Latest number of staff=450

Now the new ratio=

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3150}{450}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1575}{225}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {315}{45}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {63}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7:1 [/tex]

[tex]\therefore[/tex]New ratio of fans to staff is 7:1.


Related Questions

Someone pls help!!!???

Answers

Answer:

Its #3

Step-by-step explanation:

What is the solution to the system of equations graphed below

(2,-3)
(-3,2)
(-2,3)
(3,-2)

Answers

The answer will be (2,-3) it’s 2 to the right and 3 down.

Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.

Step-by-step explanation: yay

Examine the system of equations.

y = negative one-fourth x minus 2

x = 4

What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)

Answers

The answer is 4,-3

Irfcdxsaacd d

Answer:

4,-3

Step-by-step explanation:

is one prime or composite?

Answers

It's neither prime or composite.

1 only has a single factor which is 1, so you can't really say.

One is a prime number because it can only be gotten in multiplication equation by using 1x1 to get 1! If it was 12 where multiple equations could get it like 3x4 then it would be composite!

Hope this helps, if not, comment below please!!!

true or fales: a significant correlation indicates that changes in the values of one factie cause changes in the values of a second factor

Answers

Answer:

A significant correlation means that there is a significant (in a statistical point of view) correlation between two things.

Then a significant correlation means that we have a (measurable) correlation between the variables in our experiment.

Now, the factors are the variables that experimenters control during an experiment in order to determine their effect on the response variable, then having a positive correlation between two factors, means that when we change one, the other is also affected by the change in the first one.

Then the statement is true.

how many grams in 1.7x 10^7 ug

Answers

Answer:

17 grams

Step-by-step explanation:

factor of 48, factor of 32, The greatest number is stuffed animals you can have in a roll is?​

Answers

Answer:

16

Step-by-step explanation:

The answer is 1”16 ur welcome

evaluate -(2^-6)(2^3)

Answers

Answer:

-0.125

Step-by-step explanation:

Just had that question on SAT

Answer:- 0.125

Step-by-step explanation:

A recipe uses 4 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from three gallons? Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?

Answers

Answer:

144 servings

Step-by-step explanation:

Step 1

We convert 3 gallons to cups

1 gallon = 16 cups

3 gallons = x cups

x = 3 × 16 cups

x = 48 cups

Step 2

If

4 cups of milk = 12 servings.

48 cups of milk = x servings

Cross Multiply

4 × x = 48 × 12

x = 48 × 12/4

x = 144 servings

Therefore, 3 gallons of milk(48 cups) = 144 servings

Solve the equation. 2 + |t+ 6| = 12

Answers

Answer:

t = 4 or t = -16

Step-by-step explanation:

Let's solve your equation step-by-step.

2+|t+6|=12

|t+6|+2=12

Step 1: Add -2 to both sides.

|t+6|+2+−2=12+−2

|t+6|=10

Step 2: Solve Absolute Value.

|t+6|=10

We know eithert+6=10 or t+6=−10

t+6=10(Possibility 1)

t+6−6=10−6(Subtract 6 from both sides)

t=4

t+6=−10(Possibility 2)

t+6−6=−10−6(Subtract 6 from both sides)

t=−16

The ratio 124:111 is a blank comparison

Answers

Answer:

part to part

Step-by-step explanation:

Answer:person abov me

Step-by-step explanation:

(03.07)
Solve x2 + 6x + 4 = 0. (1 point)

Answers

Answer:

x = -0.5

Step-by-step explanation:

could you please help me with a and b

Answers

You have to get a calculator online

586 : 18 =? Write your answer as a whole number and remainder. R Stuck? Watch a video or use a hint.​

Answers

Answer:

39 R 10

Step-by-step explanation:

18 goes into 586 evenly 32 times, but there is 10 left over, making that the remainder.

39 R 10 I think................

26 points!! I’ll mark BRAINLIEST!!! And I need this ASAP!!! 4 - 4 (-4) = ?

Answers

Answer:

Answer is 20

Step-by-step explanation:

4-4(-4) is = 20!

Please mark me Brainliest!

Can u also help me with the question I just posted?

40% of students have brown eyes 10 have brown eyes how many atudents in the class

Answers

Answer:

25

Step-by-step explanation:

40%x = 10

40/100 x=10

x=10* 100/40

x = 25

50 I believe I think that 40% is 40 + 10 = 50?

who do u guys think will win National League MVP if ur right u'll get brainlyest

Answers

Answer:

the national league

Step-by-step explanation:

Pls help
Are they SSS or SAS??

Answers

Answer:

I think they are SAS but I'm not sure

lim of x goes to a x minus a divided by the square root of x minus square root of a

A. negative 2 times the square root of a

B. 2 times the square root of a

C. the square root of a

D. 2a

Answers

Answer:

i know a nice song it's called hi guy. you are cool and smart

Step-by-step explanation:

you should take a bath everyday

-0.125 as a fraction

Answers

Answer:

-1/8

Step-by-step explanation.

125 x 8 = 1000

.125 x 8 = 1

-.125 x 8 = -1

-1/8

Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?

Answers

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

Shelley reaches into a bag of candies and chooses one without peaking. 1 point
The bag holds 12 red, 23 orange, 15 green, and 10 yellow candies. What is
the probability that Shelley will select a green candy?

Answers

Answer:

probability of choosing a green candy is 1/4

Rewrite
6 3/4
as an improper fraction.

Answers

Answer:

27/4

Step-by-step explanation:

To find the answer, all you would need to do is multiply the denominator by the whole number and add the numerator. And so if you multiply the denominator (4) by the whole number (6) , and add the numerator (3) , you will get the answer: 27/4

Answer:

27/4

Step-by-step explanation:

6*4=24

24+3=27

What is an equation of the line that passes through the points (6, -7)(6,−7) and (-6, 3)(−6,3)? Put your answer in fully reduced form.

Answers

Given:

A line passes through the points (6,-7) and (-6,3).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (6,-7) and (-6,3). So, the equation of line is

[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]

[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]

[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]

[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]

Using distributive property, we get

[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]

[tex]y+7=-\dfrac{5}{6}x+5[/tex]

Subtract 7 from both sides.

[tex]y=-\dfrac{5}{6}x+5-7[/tex]

[tex]y=-\dfrac{5}{6}x-2[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].

h
6
= 7


h =
bruh pls help help help help help

Answers

Answer:

if its h+6=7 h is 1

Step-by-step explanation:

What is meant by the term observed frequencies (O)?
a. The frequencies found in the population
b. The frequencies that are hypothesized for the population being examined
c. The frequencies calculated from the null hypothesis
d. The frequencies found in the sample

Answers

Answer:

The term observed frequencies are found in the sample.

Hence, option 'd' is correct.

Step-by-step explanation:

Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.

Therefore, we conclude that

The term observed frequencies are found in the sample.

Hence, option 'd' is correct.

Which statement BEST describes how muscles respond to weight training? A. Weight training stretches the muscles' limits and makes the muscles longer. B. Weight training pushes the muscles' abilities, making the muscles gain endurance. C. Weight training stimulates the muscles and causes the muscle fibers to sit closer together. D. Weight training overloads muscles, which causes the body to respond by making muscle fibers larger. Please select the best answer from the choices provided. A B C D

Answers

Answer:B

Step-by-step explanation:

The statement that best describes how muscles respond to weight training is:

Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.

Option D is the correct answer.

What is weight training?

Weight training, also known as resistance training, involves performing exercises that place a load or resistance on the muscles.

This load creates small tears or damage to the muscle fibers, which the body then repairs and adapts to by making the muscle fibers larger and stronger.

We have,

Option A:

Weight training stretches the muscles' limits and makes the muscles longer, which is not an accurate description of how muscles respond to weight training.

While stretching exercises can increase muscle flexibility, weight training typically does not cause the muscles to become longer.

Option B

Weight training pushes the muscles' abilities, making the muscles gain endurance, which is partially true.

Weight training can increase muscle endurance by strengthening the muscles, but the primary response of the muscles to weight training is hypertrophy, not increased endurance.

Option C:

Weight training stimulates the muscles and causes the muscle fibers to sit closer together, which is not an accurate description of how muscles respond to weight training.

While weight training does stimulate the muscles, it does not cause the muscle fibers to sit closer together.

Thus,

Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.

Learn more about weight training here:

https://brainly.com/question/522620

#SPJ5

∣−7∣ PLEASE HELP I HAVE 2 MINS TO GO

Answers

Answer:

The absolute value is 7.

Step-by-step explanation:

Because when a number has two lines between it you always make it positive.

Answer:

7

Step-by-step explanation:

|-7| means to switch it a positive and not a negative so |-7|=7

Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?

Answers

The reason I plugged 4 into the y spot of the equation and -2 into the x spot is because it allows us to find where the y intercept is if we solve for it. Look at picture for work and answer. Hope this helps.

what is the smallest sum of money that can be made up of exact number of 5 cent or of 25 cent pieces

Answers

292o2ox2927+8838_833873

Step-by-step explanation:

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