A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.​

Answers

Answer 1
Answer:

Final answer:

The charity needs to earn 55,000 dollars. Subtracting the donation of 10,000 they need to make 45,000 dollars from the race entries. They make 40 dollars per entry, so dividing 45,000 by 40 gives the number of race entries needed: 1125.

Explanation:

The charity makes $40 per race entry ($55 entry fee minus the $15 cost). It also receives an additional $10,000 in donations. To raise at least $55,000, the charity would need to make at least $45,000 from race entries because $55,000 - $10,000 = $45,000. This is the target earnings from the race entries.

The race entry is $40 so we divide the target by the amount earned per race to find out the number of race entries needed: $45,000 / $40 = 1125. Therefore, the charity would need to have at least 1125 race entries to raise at least $55,000.

So the inequality would be: 40x + 10,000 ≥ 55,000, where x is the number of race entries. Solving the inequality would give x ≥ 1125.

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Answer 2
Answer:

Step-by-step explanation:

$55,000 - $10,000 = $45,000

$55 - $15 = $40

$45,000 : $40 = 1,125 race entries needed


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A carnival ride holds 30 people at a time. In one hour,220 people went on the ride. It was full each time
except the last. How many times was the ride
completely filled?

Answers

Answer:

7

Step-by-step explanation:

Final answer:

Given that a ride can hold 30 people at once, and that 220 people in total went on the ride, one minus the total number of people (to account for the last ride not being completely filled) divided by the total ride capacity gives us 7.3. This means the ride was completely filled 7 times.

Explanation:

To find out how many times the carnival ride was completely filled, we will divide the total number of people who went on the ride, by the maximum number of people the ride can hold at a time. However, we know that the last ride was not completely full, meaning there was at least one less person on the ride than it can hold, so we need to subtract 1 from the total number of people before proceeding.

So, we have: (220 people - 1) ÷ 30 people = 7.3. Since a ride can't be partially filled (i.e. 0.3 of a ride), we know that the ride was filled completely 7 times, and the remaining 0.3 represent the last, not completely filled ride.

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PLS DO 3-4 I WILL BRAINLIST YOU AND USE THE DATA AND EXPLAIN IT PLSSS HELP

Answers

Answer:

25, 33

Step-by-step explanation:

3. 124 divided by 5 is 24 remainder 4, so they will need 25 cars

4. 230 divided by 7 is 32 remainder 6, so they will need 33 boxes

The temperature in a town is during the day and at night. Find the difference in the temperatures.The difference in temperature is
F.

Answers

Answer:

what are the numbers my g

Step-by-step explanation:

5. Taking a cruise is a costly discretionary expense. In a recent year, the top fivecruise lines in the world had this many passengers:
4,133,000 2,369,000 1,295,000 928,000 679,000
Round your answers to the nearest integer.
a. The computations will be easier to work if you view this problem in terms
of thousands of passengers. Represent each number in terms of thousands
of passengers.
b. What is the mean number of passengers for these five cruise lines? (Give
the full number.)
c. What is the range? (Give the full number.)
d. What is the standard deviation? (Give the full number.)

Answers

Final answer:

The numbers in thousands are: 4133, 2369, 1295, 928, 679. The mean is 1881 thousand passengers, the range is 3454 thousand passengers, and the standard deviation is approximately 1218 thousand passengers.

Explanation:

Part A: To represent each number in terms of thousands of passengers, we simplify them as follows: 4,133,000 is 4,133 thousands of passengers, 2,369,000 is 2,369 thousands, 1,295,000 is 1,295 thousands, 928,000 is 928 thousands, and 679,000 is 679 thousands.

Part B: To calculate the mean number of passengers, you would add up all the passenger numbers and then divide by the number of values (5 in this case). This adds up to 9,404,000 passengers or, in terms of thousands, 9,404. Divided by 5, this gives a mean of 1,880,800 passengers, or 1,881 thousands of passengers.

Part C: The range is calculated by subtracting the smallest number from the largest. In this case, that would be 4,133,000 - 679,000 = 3,454,000, which is also 3,454 thousands of passengers.

Part D: Calculating the standard deviation involves multiple steps. First, for each value, subtract the mean and square this result. Then, calculate the mean of these squared differences. Finally, take the square root of this mean. Doing so, the standard deviation is approximate 1,217,982 passengers, or 1,218 thousands of passengers.

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A fruit picker is paid $4.30 per box of fruit picked. How much would a picker earn for 37 boxes picked over a day?

Answers

Answer:

$159.10 a day

Step-by-step explanation:

4.3*37=159.1

Charlie is 4 feet 11 inches tall. If there are 2.54 centimeters in 1 inch, what is Charlie’s height in centimeters?

Answers

Answer:

149.86 cm

Step-by-step explanation: