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Alexeev081 [22]
2 years ago
9

An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out t

he 131313 least popular flavors. The shop makes 808080 cartons of each of the remaining flavors. It takes 222 cartons to get one liter (\text{L})(L)(, start text, L, end text, )of ice cream. How much total ice cream is in the cartons
Mathematics
1 answer:
navik [9.2K]2 years ago
7 0

Answer:

Total <u>480 liters</u> of ice cream is in the cartons.

Step-by-step explanation:

Given:

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.

Now, to find the total ice cream in the cartons.

The ice cream shop invent new flavors = 25.

And ice cream shop throw out least popular flavors = 13.

So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:

25-13=12.

Thus, the remaining flavors = 12.

<em>According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.</em>

So, we get the unit rate of liter per carton:

If, 2 cartons contain 1 liter.

Then, 1 carton contain = \frac{1}{2} =0.5\ liter.

<u><em>Total quantity of ice cream per carton = 0.5 liter</em></u>

<u><em>Total number of cartons = 80.</em></u>

<u><em>Total flavors of ice cream = 12.</em></u>

Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:

0.5\times 80\times 12\\\\=480\ liters.

Therefore, total 480 liters of ice cream is in the cartons.

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motikmotik

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

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r = √79.53821656 Taking square root to each sides of equation.

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7 0
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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
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The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

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Learn more about inequalities here:

brainly.com/question/22976364

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2 years ago
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3 years ago
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9514 1404 393

Answer:

  12. (x, D, E, F) = (8, 38°, 75°, 67°)

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Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

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  x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

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  ∠F = 11(8) -21 = 67°

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13. (10x -4) +(4x -22) +(x +11) = 180

  15x = 195 . . . . . . . . . . add 15, simplify

  x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

  ∠P = 10(13) -4 = 126°

  ∠Q = 4(13) -22 = 30°

  ∠R = 13 +11 = 24°

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