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Kruka [31]
3 years ago
11

An ice cream factory makes 29 quarts of ice cream in 5 hours. How many quarts could be made in 48 hours ? What was that rate per

day
Mathematics
2 answers:
frozen [14]3 years ago
7 0

Step-by-step explanation:

In 5 hours, 29 quarts of ice cream is made.

In 1hour, 29/5 quarts of ice cream is made.

In 48 hours, 29×48/5 quarts of ice cream is made.

In 48 hours, 278.4 quarts of ice cream is made.

Similarly, 1day= 24 hours.

In 24 hours, 29×24/5 =139.2 quarts of ice cream is made, which is the rate of production of ice cream per day.

Vadim26 [7]3 years ago
6 0

We can easily get the quarts per hour rate by dividing the number of quarts by the number of hours:

\text{29 quarts in 5 hours} \implies \dfrac{29}{5} = 5.8 \text{ quarts in 1 hour}

Now that we have the quarts per hour rate, we can easily address the question: the factory could make

5.8\cdot 48 = 278.4

quarts in 48 hours, with a daily rate of

5.8\cdot 24 = 139.2

quarts per day

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The difference of a number multiplied by 2 tens and 3 sevens is 119. What is the number?
Elan Coil [88]

Your question is not clearly stated. Do you mean the difference between 10 * 10 * x, and 7 * 7 * 7 *x ? Then the number is x = 119/243. That's about 0.48971... in decimal form.


It's confusing when you say the "difference of a number". Differences are BETWEEN two numbers. See what I mean?

4 0
3 years ago
Describe and correct the error in finding the area of a sector with a radius of 6 centimeters and a central angle of 40
Jet001 [13]

Answer:

12.56

Step-by-step explanation:

Remark

Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.

Formula

Area = (central angle divided by 360 ) * pi r^2

Solution

Area = (40 /360) * 3.14 * 6^2

Area = 1/9 * 3.14 * 36

Area = 4 * 3.14

Area = 12.56

8 0
3 years ago
What is the answer to (14x-35)/7=7
IceJOKER [234]
Your not being very discriptive... BUT if you are finding 'x'...
(14x-35)/17=7
*17 *17
14x-35=119
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6 0
3 years ago
If it is true that z2 - 6 = 19, then z2 + 6 = ?
qwelly [4]
The answer is probably the opposite which in this case would be -19 ?
5 0
3 years ago
A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
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