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11Alexandr11 [23.1K]
2 years ago
15

Which is the best estimate for the liquid volume of a small carton of milk?

Mathematics
1 answer:
Scilla [17]2 years ago
7 0

Answer:

  • 250 milliliters

Step-by-step explanation:

Volume of a small carton is approximately one full glass

12 ml and 2 ml are too little for a small carton

1250 ml is too big

Best estimate is 250 ml

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Look at the exponents first and order them from least to greatest

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a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f
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So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


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6 0
3 years ago
Which value is equivalent to (7x5x2/7x3)^2 x (5^0/2^-3)^3 x2^-9?
koban [17]

Answer:

100/9

Step-by-step explanation:

(7*5*2/7*3)² * (5^0/2^-3)³ * 2^-9

Solution:

We know that any number with power 0 = 1

(7*5*2/7*3)² * (1/2^-3)³ * 2^-9

Now cancel out 2 by 2

= (7*5*2/7*3)² * (1/1^-3)³ * 1^-9

=(70/21)² * (1)³/(1^-3)³ * 1^-9

=(10/3)^2 * 1/1^-1 * 1/1^9

=100/9 *1 *1

=100/9....

7 0
3 years ago
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