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fredd [130]
3 years ago
6

A coffee shop spends $408 for an order of 17 cases of paper cups.

Mathematics
2 answers:
muminat3 years ago
5 0

Answer:

C. $528

Step-by-step explanation:

We have been given that a coffee shop spends $408 for an order of 17 cases of paper cups.

Let us find cost of 1 case of paper cups by dividing the total cost (408) by number of cases of paper cups (17).

\text{Cost of each case of paper cups}=\frac{408}{17}

\text{Cost of each case of paper cups}=24

Therefore, cost of each case of paper cups in $24.

If we add 5 more cases of paper cups number of total cases of paper cups will be 17+5=22.

Now let us find cost of 22 cases of paper cups by multiplying cost of 1 case of paper cups by 22.

\text{The total cost}=22\times 24

\text{The total cost}=528

Therefore, the cost of 22 cases of paper cups will be $528 and option C is the correct choice.

solong [7]3 years ago
3 0

Answer:

Option C is correct

$528 will the total cost spends by coffee shop

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates.

As per the statement:

A coffee shop spends $408 for an order of 17 cases of paper cups.

Unit rate per cases = \frac{408}{17} =\$24

Now, if If the coffee shop adds 5 more cases of paper cups to the order

then,

total number of cases = 17 +5 = 22 cases

To find how much  total cost coffee shop spends.

Total cost = unit rate \times total number of cases

                 = 24 \times 22 = \$528

Therefore, total costs coffee shop spends = $528

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Step-by-step explanation:

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3 years ago
The stadium has 53,000 seats seats sell for $42 in section 8 $36 in section B $30 in section C the number of seats in this in se
Zielflug [23.3K]

Answer:

Section A = 26,500 seats

Section B = 14,900 seats

Section C = 11,600 seats

Step-by-step explanation:

Total seats = 53,000

Total revenue = 1,997,400

Section A seat = $42

Section B seat = $36

Section C seat = $30

The number of seats in this in section A equals the total number of seats in section BNC

A = B + C

A + B + C = 53,000 (1)

42A + 36B + 30C = 1,997,400 (2)

Substitute A = B + C into (1)

A + B + C = 53,000

B + C + B + C = 53,000

2B + 2C = 53,000

2(B + C ) = 53,000

B + C = 53,000 / 2

= 26,500

B + C = 26,500 (3)

Substitute B + C = 26,500 into (2)

42A + 36B + 30C = 1,997,400

Recall,

A = B + C

42( 26,500) + 36B + 30C = 1,997,400

1,113,000 + 36B + 30C = 1,997,400

36B + 30C = 1,997,400 - 1,113,000

36B + 30C = 884,400. (4)

Multiply (3) by 30

B + C = 26,500 × 30

30B + 30C = 795,000 (5)

36B + 30C = 884,400 (4)

Subtract (5) from (4) to eliminate C

36B - 30B = 884,400 - 795,000

6B = 89,400

B = 89,400/6

= 14,900

B = 14,900

From (3)

B + C = 26,500

C = 26,500 - B

= 26,500 - 14,900

= 11,600

A = B + C

= 14,900 + 11,600

= 26,500

Section A = 26,500 seats

Section B = 14,900 seats

Section C = 11,600 seats

8 0
2 years ago
The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries
EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>

Step-by-step explanation:

Given:

Probability of ordering fries is, P(F)=0.32

Probability of ordering cheese sandwich is, P(S)=0.76

Probability of ordering both sandwich and fries is, P(F\cap S)=0.65

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as P(F\cup S).

Now, using addition theorem of probability, we get:

P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43

Therefore, probability of ordering cheese sandwich or fries is 0.43.

8 0
3 years ago
Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on
Oksana_A [137]

Answer:

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?

segment EG ≅ segment E prime G prime.

The slope of segment EF is the same as the slope of segment E prime H prime.

segment H prime F prime will overlap segment HF.

segment EH and segment E prime H prime both pass through the center of dilation.

Step-by-step explanation:

5 0
3 years ago
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saul85 [17]
L = 50 yards or 150 feet W = 20 yards or 60 feet H = 9 feet V = 150 * 60 * 9 V = 81000 cubic feet then multiply the volume, 81000, by  7.5, or 607,500 gallons.
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3 years ago
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