in a survey if 27.5 percent of those questioned chose swimming as their favorite. If 11 people chose swimming then how many people were surveyed

Answers

Answer 1

Answer: 27.5% of x=11 x is the number of people 27.5%=.275 x=11/.275=40 people in the survey participated

Answer 2

Answer:

Final answer:

To determine the total number of people surveyed when given the number who preferred swimming and the percentage they represent, you set up an equation based on the percentage and then solve for the total. With this data, 40 people were surveyed.

Explanation:

The question pertains to the mathematical concept of percentages. You mention that 27.5 percent of the surveyed population favored swimming and this equaled to 11 people. To calculate the total number of people surveyed, we let the total number be 'x'. Therefore, the mathematical equation, based on the provided data, becomes 27.5% of 'x' = 11. In mathematical terms, it can be written as 0.275x = 11. For finding 'x', divide both sides of the equation by 0.275. Thus 'x' = 11 / 0.275 = 40. Therefore, based on the given percentages and data, it's inferred that a total of 40 people were surveyed.

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Divide.8.64÷(−0.27)Enter your answer in the box.
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Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
an item has listed price of 85$. If sales tax rates is 3 percent, how much is the sales tax (in dollars)

Estimate the sum by rounding each mixed number to the nearest half or whole number.8 1/5+ 1 7/16

Answers

You round the 1st number to the nearest whole number which is 8. The second number is rounded to the nearest half.
So it would be 8 + 1 8/16 = 9 1/2.

A game spinner has regions that are numbered 1 through 9. If the spinner is used twice, what is the probability that the first number is a 3 and the second is a 5?

Answers

On the first spin, the probability that any specific number from 1 to nine inclusive is 1/9. On the second spin, the same value of probability applies. If the spinner is fair, the result from the first spin has no effect on the result of the second spin. therefore:
$P(3\ then\ 5)=(1)/(9)*(1)/(9)=(1)/(81)$

Final answer:

The probability that the spinner lands on 3 in the first spin and 5 in the second spin is 1 out of 81, given that each spin is independent and the spinner has numbers 1 through 9.

Explanation:

The question is asking about the probability of getting a 3 followed by a 5 on a spinner with numbers 1 through 9. Since the outcomes of spinning are independent, the probability of both events happening is the product of their individual probabilities.

Now, since the spinner has numbers 1 through 9, the probability of landing on any specific number is 1/9. Therefore, the probability of landing on 3 in the first spin is 1/9. In the second spin, the probability of landing on 5 is also 1/9.

To find the combined probability of both these events happening, you need to multiply the individual probabilities together. So, in this case, P(3 and 5) = P(3) * P(5) = 1/9 * 1/9 = 1/81. So the probability of the spinner landing on 3 in the first spin and then 5 in the second spin is 1 out of 81.

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold? a. 6
b. 9
c. 12
d. 15

Answers

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

Answer:

d is the correct answer

Step-by-step explanation:

Simplify:
(6r^4S^3)(9rs^2)

Answers

$(6r^4s^3)(9rs^2)=6\cdot9r^(4+1)s^(3+2)=54r^5s^5$

What is the logarithmic form of the equation e3x ≈ 3247?

Answers

e^(3x) = 3247

3x = log 3247

x = [log 3247]/3

Mikaela is competing in a race in which she both runs and rides a bicycle. She runs 5 kilometers in 0.5 hour and rides her bicycle 20 kilometers in 0.8 hour. A. At the rate given, how many kilometers can Mikaela run in 1 hour?
____________________
B. At the rate given, how many kilometers can Mikaela bike in 1 hour?
____________________
c. If Mikaela runs for 1 hour and bikes for 1 hour at the rates given, how far will she travel?
____________________

Answers

As Mikaela is running 5km in 0.5 hours, as you're looking for an hour, you double it. Therefore, she can run 10km in 1 hour.
As she bikes 20km in 0.8 hours- she bikes 5km in 0.2 of an hour, therefore, she bikes 25km per hour.
If she continues at this rate, she will travel 35km in 2 hours.
A) 10km
B) 25Km
C) 35 KM
Hope this helps :)

Mikaela can run 10 kilometers in 1 hour.

Mikaela can bike 25 kilometers in 1 hour.

If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.

We have,

To find the number of kilometers Mikaela can run in 1 hour, we can set up a proportion using the information given:

5 kilometers / 0.5 hour = x kilometers / 1 hour

Cross-multiplying, we get:

(5 kilometers) x (1 hour) = (0.5 hour) x (x kilometers)

Simplifying:

5 kilometers = 0.5x kilometers

To isolate x, we can divide both sides of the equation by 0.5:

5 kilometers / 0.5 = x kilometers

x = 10 kilometers

Similarly, to find the number of kilometers Mikaela can bike in 1 hour, we can set up a proportion:

20 kilometers / 0.8 hour = x kilometers / 1 hour

Cross-multiplying:

(20 kilometers) x (1 hour) = (0.8 hour) x (x kilometers)

Simplifying:

20 kilometers = 0.8x kilometers

Dividing both sides by 0.8:

20 kilometers / 0.8 = x kilometers

x = 25 kilometers

To find the totaldistance Mikaela will travel if she runs for 1 hour and bikes for 1 hour, we can simply add the distances:

Distance = distance run + distance biked

Distance = 10 kilometers + 25 kilometers

Distance = 35 kilometers

Therefore,

Mikaela can run 10 kilometers in 1 hour.

Mikaela can bike 25 kilometers in 1 hour.

If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.

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