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Natalka [10]
3 years ago
15

Suppose you are given a bottle of water and three beakers. One of the beakers holds 30mL, one holds 40mL, and the largest of thr

ee beakers holds 200mL when full. There aren't any markings on any of the beakers. Describe how you could put exactly 20 mL of water in the large beaker without using any other equipment.
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0
Fill the 200mL beaker all of the way. Using the water in that beaker, fill and pour out the 30mL twice and the 40mL three times. You should be left with 20mL in the 200mL beaker.
Zolol [24]3 years ago
5 0
You can fill the 40 ml beaker, then empty it into the 30 ml beaker. you should be left with 10 ml in the beaker, pour this into the 200 ml beaker
repeat this and you should have 20 ml in the 200ml beaker 
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melomori [17]

Answer:

The system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

Step-by-step explanation:

Given:

Number of flash cards already made by Tristan = 5

Number of flash card Tristan makes in 1 min = 5

Number of flash card Josh makes in 1 min = 6

We need to find the How long will Josh have same number of flashcards.

Also We need to find how many flashcards will each student have at that point.

Solution:

Let the number of minutes be'x'.

Now we can say that;

Total number of flash cards made by Tristan is equal to Number of flash cards already made by Tristan plus Number of flash card Tristan makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Tristan = 5+5x

Also We can say that;

Total number of flash cards made by Josh is equal Number of flash card Josh makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Josh = 6x

Hence the system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

Now to find the number of minutes when both would have same number of flash cards we will make both the equation equal.

so we get;

5+5x=6x

On solving we get;

Combining like terms we get;

6x-5x=5\\\\x=5\ mins

Hence It would take 5 minutes when both will have same number of flash cards.

To find the number of flash cards each would had at that time we will substitute value of x=5 in the system of equations.

so we get;

number of flash cards made by Tristan = 5x+5 = 5\times5+5=25+5=30

number of flash cards made by Josh = 6x =6\times 5 =30

Hence In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

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Step-by-step explanation:

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If (7,2) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
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