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PilotLPTM [1.2K]
3 years ago
8

A company buys orange juice in bulk in containers which hold 25 litres. They sell the juice in cartons which are 8cm by 12cm by

20cm. How many cartons can they fill from one 25 litre container.
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

13 cartons

Step-by-step explanation:

According to the Question,

  • Given, A company buys orange juice in bulk in containers that hold 25 litres. They sell the juice in cartons which are 8cm by 12cm by 20cm.

Thus the volume of the carton is 8×12×20 = 1920 cm³

  • Now, 1cm³ is equal to 0.001 litre

So, 1920 cm³ = 1.92 litre ( capacity of 1 container)

Therefore, cartons needed to fill from one 25 litre container is

⇒ 25/1.92 = 13.02≈13 cartons

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Answer:

Correct option is (C)

Step-by-step explanation:

we are given that -Tim design a pair of shorts,S, and T-shirts,t.

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Tim can work atmost 18 hours a day so we can write time\leq 18

Time taken to design a T-shirt is 30 minutes and for Shorts, it is 45 minutes.

\frac{30}{60}t+\frac{45}{60}s\leq   18\\\text{Multiply both the sides by 60}\\30t+45s\leq 1080\\\text{Divide both the sides by 45}\\s+0.66t\leq 24\\\text{Subtract 0.66t from both the sides}\\s\leq 24-0.66t

He must design 12 itesm each day, so we can write t+s\geq 12

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t+s\geq 12\\\text{Subtract t from both the sides}\\s\geq 12-t

Also Tim can not design more than 30 items in one day, so we can write

t+s\leq 30\\\text{Subtsract t from both the sides}\\s\leq 30-t

Hence from the above equations , its claer that

s\geq 12-t,s\leq 30-t,s\leq 24-0.66t,s\geq 0,t\geq 0

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Answer:  16) \bold{\sqrt{x}}        (17) \bold{\dfrac{x-4}{2}}        (18) \bold{\sqrt{x}-2}       (19)  3x - 18

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and then solve for y

16) Given: y = x²

Swapped: x = y²

                \bold{\sqrt{x} =y}

17) Given:  y = 2x + 4

Swapped: x = 2y + 4

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            \bold{\dfrac{x-4}{2}=y}

18) Given:  y = (x + 2)²

Swapped: x = (y + 2)²

               √x = y + 2

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Swapped: x=\dfrac{1}{3}y+6

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2 years ago
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AfilCa [17]
Hi!
1. -25
2. 22
3. 0
4. -34.5

hope this helps!
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