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atroni [7]
3 years ago
6

Is 40/25 equivalent to 32/20

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0

Answer:

Yes, 40/25 is equivalent to 32/20.

Aleks04 [339]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Find a common denominator, so you could do 100. Multiply 40/25 by 4 to get 160/100. Then to get the other denomination to 100 multiply by 5, so 32/20 = 160/100

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I need help with this word problem it’s urgent please help.
harkovskaia [24]

Starting with some solution of volume <em>v</em> and an alcohol concentration of 100<em>c </em>% , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + <em>v</em>.

Each mL of the starting solution contains <em>c</em> mL of alcohol. For example, if the concentration of the starting solution is 80% (so <em>c</em> = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.

Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.

You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning

<em>cv</em> + 0.45 (180 mL) = 0.7 (180 mL + <em>v</em>)

and you want to solve for <em>v</em> :

<em>cv</em> + 81 mL = 126 mL + 0.7<em>v</em>

<em>cv</em> - 0.7<em>v</em> = 126 mL - 81 mL

(<em>c</em> - 0.7) <em>v</em> = 45 mL

<em>v</em> = (45 mL) / (<em>c</em> - 0.7)

Judging by context clues, <em>c</em> lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)

If, for example, <em>c</em> = 0.8, so that your starting solution is at 80% concentration, then you would need

<em>v</em> = (45 mL) / (0.8 - 0.7) = 450 mL

to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.

As another example, if you're mixing pure alcohol, so that <em>c</em> = 1, you would need

<em>v</em> = (45 mL) / (1 - 0.7) = 150 mL

to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.

3 0
3 years ago
What’s is the denominator of 23\24?
asambeis [7]

Answer:

24

Step-by-step explanation:

the denominator is the number that is down or under the fraction line

8 0
3 years ago
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natta225 [31]
7/8 + 4/8= 11/8 so 11/8 ÷2 = 5.5/8 she puts 5 1/2 /8 cups of the mixture in each bowl
4 0
3 years ago
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50 Points and brainliest, simple data
Masja [62]
14 | 7 | 21
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1. Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What
Sliva [168]

Answer:

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Step-by-step explanation:

you divide 75 by 37.50 i hope this helped.

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