In a student opinion poll at Jump Middle School 27.5% of the students who responded chose football as their favorite sport. Basketball was chosen by 17.5% of the students who responded. The rest of the people chose “other” sports. “Other” sports were chosen by 44 people in the poll. What is the total number of the people who responded to the poll?

Answers

Answer 1

Answer-

The total number of the 80 students responded to the poll.

Solution-

The percentage of student who responded that football was their favorite sport = 27.5%

The percentage of student who responded that basketball was their favorite sport = 17.5%

As the remaining students opted for others, so the percentage of student who opted other sport = 100-(27.5+17.5) = 100-45 = 55%

The number of student who chose others, was found to be 44. If total number of student participated in the opinion poll was x, then

[tex]\Rightarrow x \times\frac{55}{100} =44[/tex]

[tex]\Rightarrow x=44 \times\frac{100}{55}=80[/tex]

∴ The total number of the people who responded to the poll was 80.


Related Questions

one integer is 5 more than another. their product is 50. Find the integers

Answers

five times 10. because 10 is 5 more that 5 and 5 times 10 is 50 so the answer wound be 5 and 10 or 5×10=50

can you solve the equation 2/3(4x-5)=8 by using the division property of equality? explain

Answers

Answer:

Yes, you can use the division property of equality in this equation.

Step-by-step explanation:

This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.

Write the equation of the line parallel to the given line and passing through the given point. y=−2x−1 through (4,3)

Answers

if the lines are parallel the slopes are the same so the slope is -2

the equation for a line given a point and a slope is

y-y1 = m(x-x1)

y-3= -2(x-4)

y-3 = -2x+8

y = -2x+11

A new sidewalk will be 4 feet wide 200 feet long and filled to a depth of 3 inches (0.25 foot) with concrete. How many cubic yards of concrete are needed?

Answers

The number of cubic yards of concrete that are needed to fill the sidewalk is 7.40741 cubic yards

Volume of a cuboidv = lwh

where

l = length

w = width

h = height

Therefore,

l = 200 ft

w = 4 feet

h = 0.25 feet

v = 200 × 4 × 0.25

v = 200 ft³

In yards the concrete will fill the following volume:

7.40741 yard³

learn more on cuboid here:https://brainly.com/question/849398?referrer=searchResults

Final answer:

To find the volume of concrete needed for the sidewalk, multiply the length, width, and depth of the sidewalk. Convert the volume from cubic feet to cubic yards by dividing by 27.

Explanation:

To find the volume of concrete needed, we need to multiply the length, width, and depth of the sidewalk. The length is given as 200 feet, the width is 4 feet, and the depth is 0.25 foot. Multiplying these values together gives us the volume in cubic feet. To convert this to cubic yards, we divide the volume in cubic feet by 27 (since there are 27 cubic feet in a cubic yard).

The volume of the sidewalk in cubic feet is 4 ft * 200 ft * 0.25 ft = 200 cubic feet. Dividing this by 27, we get the volume in cubic yards: 200 cubic feet / 27 = 7.41 cubic yards. Therefore, approximately 7.41 cubic yards of concrete are needed for the sidewalk.

Which is a correct verbal expression for 9+ n?

Answers

Nine plus a unknown number equals unknown.

Answer:

The sum of 9 and a number.


Step-by-step explanation:

Sum = Add.

9 = 9

Number = n


Hope this helps :-)


Approximate 221 ( square root) to the nearest hundredths.

A. 14.28
B. 15.52
C. 14.86
D. 12.89

Answers

the answer would be C

Which is another way to express the problem 1 - (-7)

Answers

1+7

because when there are two negatives together you turn it into a positive and add

1 + 7

Because two negatives makes a positive. Hope this helps!

Adam invests $6139 in a retirement account with a fixed annual interest rate compounded continuously. After 17 years the balance reaches $8,624.97. What is the interest rate of the account? Help! Working out required.

Answers

Answer:

2.38% annual interest rate

Step-by-step explanation:

We have the initial value that is $6139 and the final value that is $8,624.97 the initial value is a 100% and the final value is 100%+17x%  where x is the annual interest rate, then:

[tex]\dfrac{8624,97\cdot 100\%}{6139\cdot (100\%+17x\%)}=1[/tex]

[tex]\dfrac{8624,97\cdot 100\%}{6139}=100\%+17x\%[/tex]

[tex]\dfrac{862497\%}{6139}-100\%=17x\%[/tex]

[tex]140.49\%-100\%=17x\%[/tex]

[tex]40.49\%=17x\%[/tex]

[tex]\dfrac{40.49\%}{17}=x\%[/tex]

[tex]2.38\%=x\%[/tex]

Final answer:

To find the interest rate of the account, you can use the formula for continuous compound interest, which is A = Pe^(rt). By plugging in the given values, you can solve for r and find that the interest rate is approximately 1.77%.

Explanation:

To find the interest rate of the account, we can use the formula for continuous compound interest:

A = Pe^(rt)

Where:

A = final balanceP = initial investmente = Euler's numberr = interest ratet = time in years

Given that Adam invested $6139 and the balance after 17 years is $8624.97, we can plug in these values and solve for r:

8624.97 = 6139 * e^(17r)

Divide both sides of the equation by 6139:

e^(17r) = 8624.97 / 6139

Now, take the natural logarithm (ln) of both sides:

ln(e^(17r)) = ln(8624.97 / 6139)

Use the logarithmic property ln(e^x) = x to simplify the equation:

17r = ln(8624.97 / 6139)

Finally, divide both sides of the equation by 17 to solve for r:

r = ln(8624.97 / 6139) / 17

Using a calculator, we find that the interest rate of the account is approximately 0.0177, or 1.77%.

Learn more about Finding interest rate using continuous compound interest formula here:

https://brainly.com/question/28524037

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can y’all help please . i don’t know how to do this .

Answers

I'll explain how, if you want the answers to fact check, ask in the comments.

If the first number is in the ones place, and there's no notation, it's 10^0 (number * 1), if the first number is in the tens place, it's 10^1 of the number if it was pushed back into the ones place. If the first number is in the hundreds place, it's 10^2 if it was...

You might get the idea, same applies to negative powers of 10:

If the first number is in the tenths place, it's 10^-1, if the beginning of the number was moved forwards into the ones place, and so on.

I hope I helped you, please ask questions if you need them, I might have delivered a confusing explanation.
for scientific notation you have to move your decimal to where you number value is between 1-10

so for example on number one you are going to have to move your decimal to the right 2 times to get 2.9 (a value between 1-10)

now you have to write it in scientific notation-ask yourself two questions: how many times did you move your decimal? we moved it 2 times in this problem. and was it to the right or to the left? if you moved it to the right (which is the direction we moved it in this problem) its going to be a negative exponent so our answer would be 2.9x10^-2

same thing with number 2 starting with 64,000 to get our value to a number between 1-10 we need to move our imaginary decimal at the end of our value 4 times to make 6.4

two questions:
how many times did we move it? 4
did we move it to the left or to the right? to the left (so our exponent is positive)

making our answer 6.4x10^4

if you want me to check your answers after you have finished let me know:)

Round each decimal number to the nearest hundred 8.314

Answers

8.31 because it goes after the decimal tenth then hundreth the for is in the thousandths


The answer is 8.3 Hope this helps

what is the common denominator for 30, 24, 18, and 12?

Answers

I believe it is 360 sorry if i am wrong i truely sorry


how can i use variables to describe real world problems

Answers

A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.

Here is an example.

Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?

We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.

She had x dollars in her account before depositing the $20.

After she deposited the $20, she now has x plus 20, or x + 20.

We are told her account now has $85, so x + 20 must equal 85.

That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.

x + 20 = 85

Subtract 20 from both sides.

x + 20 - 20 = 85 - 20

x + 0 = 65

x = 65

Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.

Mary had $65.

you can use varibales in real life problems by using them to describe the constants

What is the solution set of {x|x<-5} n {x|x>5}?

Answers

[tex]\{x|x < -5\}\ \cap\ \{x|x > 5\}=\O[/tex]

Look at the picture.

The common part does not exist.

Find the missing number to complete this division fact. 63 ÷ ∎ = 9

Answers

Hello AskMeBosh

The missing number in this equation is 7

This is because 9 * 7 is 63

So your answer would be 7

:)

63/7=9 the missing number is 7

a store is selling a hat at 55 percent markup. the store originally paid $16 for the hat. what is the retail price for the hat

Answers

$24.80 is the new retail price for the hat


Answer:

$24.8

Step-by-step explanation:

Hello, i think I can help you with  this,you can easily solve this by using a rule of three

Step 1

define

the retail price for the hat will be the originally paid value plus 55%, it is equal to 155% of the original price

if

$16 ⇒100%

$x? ⇒155%

the relation is

[tex]\frac{16}{100}=\frac{x}{155}\\solve\ for\ x \\\frac{155*16}{100}=x\\x=\frac{2480}{100}\\ x=24.8[/tex]

the retail price is $24.8

Have  great day.

To enter a local fair, one must pay an entrance fee and pay for the number of ride tickets he/she wants. Admission to the fair is given by the equation f(x) = .50x + 10, where x represents the number of tickets purchased and f(x) represents the total price. How much does each ride ticket cost?


A) $10
B) $0.50
C) $10.50
D) Not enough information.

Answers

It is B because they show the X variable next to the .50 cents meaning that this can change depending on how many the rider buys in this Equation.

Answer:

no the answer is a $10. i took the usatestprep :)

Step-by-step explanation:


When asked to factor the trinomial 4x^2+20x+25, a student gives the answer (2x-5)(2x-5). What is one thing wrong with this answer?

Answers

when factored out you would get 4x^2-20x+25 you don’t want a -20x you want a +20x so you would want (2x+5)(2x+5) instead

The minus signs should be plus signs

recipe for banana oat muffins call for 3/4cups of old fashion oats you are making 1/3of recipe how many cups of oats should you use

Answers

Use 1/4 cups of rolled oats becuase 1/3*3/4 = 1/4

The full recipe for the banana oat muffins requires 3/4 (or 0.75) cups of old fashion oats. But you are planning to make only 1/3 of the recipe.

To find the amount of oats required for 1/3 of the recipe, we need to multiply the amount required for the full recipe (3/4 cups) by the proportion of the recipe you are making (1/3).

Let's start with the full amount, which is 3/4 cups of oats. Then, we are going to use only 1/3 of this amount. So, we multiply 3/4 by 1/3.

The result of this calculation is 0.25.

So, you will need 0.25 cups of old fashion oats to make 1/3 of the banana oat muffins recipe.

What is the slope of this line?

Answers

The slope of this line is 1/4, because slope is rise/run. This line rises 1 for every 4 it runs. The slope is positive because the line is moving upward.

1/4 because u have to do rise over run

Suppose the function, g(x), is used to model the height ,y, of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground. Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds. What would be an appropriate domain for g(x)?

Answers

the ball reaches its maximum height of 15 feet in 2.2 seconds

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground

The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds

the ball reaches its maximum height of 15 feet in 2.2 seconds

So it takes 2.2 second to reach the maximum height

It will take another 2.2 seconds to reach the ground

The time the ball in the air is 2.2 + 2.2 = 4.4

The ball will reach the ground in 4.4 seconds

So the domain for g(x) is {0,4.4}


Answer:

0 ≤ x ≤ 4.4

Step-by-step explanation:

py+7=6y+qp, y, plus, 7, equals, 6, y, plus, q y=y=y, equals

Answers

Py +7 = 6y + qp

Solve the equation for y

To solve the equation for y we need to get y alone

Py +7 = 6y + qp

Subtract 6y from both sides

Py - 6y +7 = + qp

Subtract 7 from both sides

Py - 6y = + qp - 7

Now factor out y

(P - 6)y = qp - 7

Divide by P - 6 from both sides

[tex]y =\frac{qp - 7}{(P - 6)}[/tex]

Answer:

y=  p−6 /q−7

Step-by-step explanation:

The strategy

Move all y-terms on one side of the equation, and move all constant terms to the other side of the equation.

Using the distributive property, group like terms together on both sides of the equation.

To isolate y, divide both sides by the coefficient of y.

Solving for y

py+7 = 6y+q

py+7 -6y = q

 py-6y= q - 7

y(p-6) = q-7

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days. What exact interest rate was she paying? (Round your answer to the nearest tenth of a percent.)

27.1%


18.5%


17.3%


25.9%

Answers

answer : 25.9%

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days.

Interest to be paid = 5200 - 4500 = $700

To find the rate we use simple  interest formula

[tex]I =P*\frac{r}{100}*\frac{n}{360}[/tex]

I is the interest

P is the principal amount = 4500

r is the rate of interest

n is the number of days= 219

[tex]700 =4500*\frac{r}{100}*\frac{219}{365}[/tex]

[tex]700 = \frac{985500r}{36500}[/tex]

Multiply by 36500 on both sides

25550000= 985500 r

Divide by  985500

r = 25.92592

so interest rate is approximately = 25. 9%

Evaluate the square root

Answers

[tex]\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144[/tex]

How many numbers between 1 and 100 (inclusive) are divisible by 9 or 4?

Answers

There are 11 numbers divisible by 9 between 1 and 100, and 25 numbers divisible by 4 between 1 and 100. So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.

Answer:34

Step-by-step explanation:

I had the answer on khaun academy

46 out of 310 seniors graduate with honors. What is the ratio of seniors graduating with honors to the total number of seniors

Answers

23:155 Simply its 46:310 and you simplify to 23:155

Final answer:

The ratio of seniors graduating with honors to the total number of seniors is 46/310, which simplifies to 23/155.

Explanation:

To find the ratio of seniors graduating with honors to the total number of seniors, you would divide the number of seniors graduating with honors by the total number of seniors. In this case, 46 seniors graduate with honors out of a total of 310 seniors.

Therefore, the ratio is 46/310, which can be simplified to 23/155 when reduced to the lowest terms.

34÷3536
with a remainder please

Answers

0.00961538461

I typed this for 20 characters

Find the value of r so that the line through (1,4) and (-5,r) has a slope of 1/3

Answers

r would be 2
the easiest way to solve this is by drawing your own graph, plotting the points and working it out from there:)

Final answer:

To determine the value of r for the line to have a slope of 1/3, the slope formula is applied and solved to find that r must be 2.

Explanation:

To find the value of r so that the line through the points (1,4) and (-5,r) has a slope of 1/3, we use the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1).

Step 1: Insert the known values into the slope formula

Slope (m) = 1/3, x1 = 1, y1 = 4, x2 = -5, y2 = r

1/3 = (r - 4) / (-5 - 1)

Step 2: Solve for r

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

Therefore, the value of r is 2 for the line to have a slope of 1/3.

find the inverse function f -1 (x) for the given function f (x) plz don't write a random answer to get points this is the fourth time I have posted this I need actual help

Answers

I've attached the answer to the first question with steps as well as notes on inverse functions.

Tell whether the angles are adjacent or vertical. Then find the value of X

Answers

for #5: you put the equations equal to each other then combine like terms & you’ll get x=41 & the angles are vertical.

for #6: you add the equations together to equal 180 bc that is the measure of a straight line. once you do so, you combine like terms & x should equal 14. & the angles are adjacent.

The FunWorld Obstacle Course is scored by awarding 10 points for every activity that is passed and by deducting 5 points for every activity that is failed. Bob passed 4 activities and failed 3 activities. Tom passed 7 activities and failed 4 activities. Who got a higher score?

Answers

Bob passed 4 activities, so 4 x 10 = 40 points. He failed 3, so 3 x 5 = 15

Total points = 40-15 = 25 points.


Tom passed 7, so 7 x 10 = 70 points. He failed 4, so 4 x 5  = 20

Total points = 70-20 = 50 points.



Tom got a higher score.

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