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Vesnalui [34]
2 years ago
12

Simplify this expression. 3^-3

Mathematics
1 answer:
Sphinxa [80]2 years ago
4 0

Answer:

1/27 is the answer

Step-by-step explanation:

It is 1/(3^3) which is 1/27

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Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters
KengaRu [80]

Answer:

1) Part A)

Liters    Mililiters

  1            1,000

  5           5,000

  8           8,000

 14          14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to <u>   multiply   </u> the number of liters by the number of milliliters in 1 liter. This means there are <u>   4,200   </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Explanation:

<u>1) Data:</u>

  • Grape juice: 8,000 mililiters
  • Cranberry juice: 4.2 liter
  • Orange juice: 12,000 mililiters

  • There are 1,000 mililiers in 1 liter

<u>2) Part A:</u>

<u>Table:</u>

The table is garbled. This is what the tables could look like:

Liters    Mililiters

  1            1,000

  5           5,000

  8           8,000

 14          14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

  • 1,000/1 = 1,000
  • 5,000/5 = 1,000
  • 8,000/8 = 1,000
  • 14,000/14 = 1,000
  • number of mililiters / liters = 1,000

<u>3) Part B)</u>

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to <u>   multiply   </u> the number of

liters by the number of milliliters in 1 liter.

  • As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are <u>   4,200   </u>milliliters in 4.2 liters.

  • That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Rank the amounts:

  • 12,000    >    8,000    >    4,200

            ↑                   ↑                   ↑

       orange            grape        cranberry

8 0
2 years ago
What is 1/2 of 22 and 2/3 of 16
Sholpan [36]
1/2 of 22:
1/2 · 22 = 22/2 = 11

2/3 of 16
2/3 · 16 = 32/3 = 10 2/3
6 0
2 years ago
Infections seldom start with a single bacterium. Suppose that you cut yourself on a rusty nail that puts 25
Soloha48 [4]

Answer: There would be 12,000 bacteria 8 hours after the initial infection.

Step-by-step explanation: You start with 25 cells and if they divide every 15 minutes, 25 multiplied by 15 gets you 375 cells every quarter of an hour. Then if you multiply that by the 32 quarter hours, you get 12,000 cells. To check that you can also multiply 25 by 15, still 375, then 375 by 4 for each quarter of the hour, then that gets you 1,500 cells every hour. If you multiply that by 8 for the 8 hours they have time to divide, you still get 12,000 cells.

I hope this helps!

3 0
2 years ago
Board feet is a measurement of lumber volume. A board foot is equal to 144 in3 of wood. About how many board feet is a piece of
Rudiy27
1st multiply 2 x 8 x 144 = 2304 in^3divide 2304 by 144 = 16 board feet

4 0
3 years ago
What is 4/7 of 70 apples
AlladinOne [14]

Answer:

40 apples

Step-by-step explanation:

4/7 of 70

1. rewrite in mathematical terms

4/7 * 70

2. solve

4/7 * 70

= 40

8 0
2 years ago
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