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1 year ago

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by

Mathematics

2 answers:

Firdavs [7]1 year ago

3 0

Answer:

(k-h)(x) = 4x - 8

Step-by-step explanation:

We know Profit = Revenue - Cost

Basically we gotta subtract cost function from revenue function and get the profit function.

The cost function is h(x) = 5x + 6

The revenue function is k(x) = 9x - 2

Hence, Profit is:

(k-h)(x) = (9x - 2) - (5x + 6)

(k-h)(x) = 9x -2 - 5x - 6

(k-h)(x) = 4x - 8

goldenfox [79]1 year ago

3 0

Answer:

Step-by-step explanation:

The complete question is

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

A. 14x – 8

B. 14x + 4

C. 4x – 8

D. 4x + 4

The expresison that represents the profit is $(k-h)(x)$ . Which means the profit is the difference between the revenue function and the cost functions, that is

$(k-h)(x)=k(x)-h(x)=9x-2-(5x+6)=9x-2-5x-6=4x-8$

Therefore, the expression that represents profit is 4x-8, whcih is choice C.

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Which of these is longest distance 0.1203km or 123m or 1230cm or 12030mm

bogdanovich [222]

<h3>Answer: 123 meters is the longest </h3>

============================

Work Shown:

Convert everything to the same unit. I'm going to convert everything to meters

0.1203 km = 120.3 meters (multiply by 1000)

1230 cm = 12.3 meters (divide by 100)

12030 mm = 12.03 meters (divide by 1000)

------------------

The four distances we have are: 120.3 meters, 123 meters, 12.3 meters, 12.03 meters. We see that 123 meters is the longest.

7 0

1 year ago

Half of the sum of six and three then divided by seven

nexus9112 [7]

The expression is 1/2 × (6+3) ÷7
1/2 × (6+3) ÷7
1/2 × 9 ÷7
4.5 ÷7
0.64285714
*Last 6 digits are repeating decimals
Hope this was helpful :D

6 0

1 year ago

Each year a town holds a winter carnival this year 40% of the attendees were children under the age of 10 if 304 children under

tatuchka [14]

Answer:

760 attendees

Step-by-step explanation:

40% of the attendees is 304. That means you can add 304 to 304 (304 x 2) to get 608. To get the last 20%, divide 304 by 2, because 40(%) divided by 2 is 20(%). The answer to that is 152. Now, add it all up. 608 + 152 = 760.

In conclusion, there were 760 attendees at the carnival.

4 0

1 year ago

Question 2 (1 point)

hichkok12 [17]

Answer:

Rebecca does not have a return yet because the stock was not sold since there was a limit order at $33.

However, the value of her investment can be put around $2,400 (100 x $24 average price).

Step-by-step explanation:

Price of Havad Stock bought a year ago = $20

No. of shares = 100

Limit order selling price = $33

Stock prices during the limit order day = $23, $26, and $22

The stock cannot be sold, since its price did not reach $33.

Rebecca's limit order is an order to buy or sell her stock in Havad at $33 or better. Since her order is a sell limit order, it can only be executed at the limit price of $33 or higher. Unfortunately, the price of the stock did not reach the limit order on that particular day. This implies that her limit order is not guaranteed to execute.

8 0

1 year ago

Mrs. Fox, the art teacher at Eastside Elementary school, has an empty space on her wall 6 ft.* 3 1/3 ft. She was given some whit

Oksi-84 [34.3K]

Answer:

<u>1. The space Mrs. Fox wants to fill is bigger than the space needed to hang 175 tiles , therefore it will be enough room in the designed space.</u>

<u>2. The area of the space Mrs. Fox wants to fill is 20 ft².</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Empty space Mrs. Fox has on her wall = 6 ft. * 3 1/3 ft.

White tiles measures Mrs. Fox was given = 1/3 ft. * 1/3 ft.

2. She wants her 175 fifth grade students to each design and paint a tile to be hung in the empty space on the wall. Will there be enough room in the designed space to hang all 175 tiles? What is the area of the space Mrs. Fox wants to fill? Justify your answer with words, diagrams, or an equation for both questions.

Let's recall the formula for the area of a rectangle:

Area = Length * Width

Area = 6 ft * 3 1/3 ft.

Area = 6 * 3.33 = 20 ft²

<u>The area of the space Mrs. Fox wants to fill is 20 ft²</u>

Now, let's find the area of each white tile and let's multiply that value 175 times, as follows:

Area of a white tile = 1/3 * 1/3

Area of a white tile = 0.33 * 0.33 = 0.1089 ft²

Area of 175 tiles = 0.1089 * 175 = 19.06 ft² (rounding to two decimal places)

<u>20 ft² > 19.06 ft² or the space Mrs. Fox wants to fill is bigger than the space needed to hang 175 tiles , therefore it will be enough room in the designed space.</u>

4 0

2 years ago