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erma4kov [3.2K]
3 years ago
6

One person can do a certain job in twenty-one minutes, and another person can do the same job in twenty-eight minutes. How many

minutes will it take them to do the job together?
6 min
12 min
24 min
Mathematics
2 answers:
grigory [225]3 years ago
6 0

the correct answer is 12

MrMuchimi3 years ago
6 0

Answer: 12 min

Step-by-step explanation:

Given: Time taken by one person to do a job = 21 minutes

Time taken by another person to do a the same job = 28 minutes

If they work together then the total time taken by both of them to complete the job is given by :-

\frac{1}{T}=\frac{1}{21}+\frac{1}{28}\\\\\Rightarrow\frac{1}{T}=\frac{4+3}{84}\\\\\Rightarrow\frac{1}{T}=\frac{7}{84}\\\\\Rightarrow\frac{1}{T}=\frac{1}{12}\\\\\Rightarrow T=12

Hence, they will take 12 minutes to do the job together.

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You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How muc
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175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.

Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45

Solve for <em>v</em> :

43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)

43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>

0.25<em>v</em> = 35 mL

<em>v</em> = 140 mL

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Write a real word problem that can be represented by the expression 5x+10
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A member ship at the gym cost 5 dollars a month plus a locker holding fee of 10 dollars 
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What is the answer to 0.5(4a+6b)
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The way we simplify this is by using the distributive property and multiply every term by 0.5. When we do this we get 2a+3b
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A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.
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The first graph is the correct answer.
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WILL MARK BRAINLIEST!! PLEASE HELP ASAP.
Rudiy27

Answer:

I think this is the answer I hope this can help you

Step-by-step explanation:

1) 3 gallons=36 miles

16 gallons=?

so it will be

36 \times 16 = 576

576 \div 3 =  192

or you can do like this

1 gallons=12 miles so if 16 gallons multiply with 12 it will be 192

2)2 hours=$28.50

? =$99.75

so it will be

99.75 \times 2 = 199.5

199.50 \div 28.50 = 7

so it will be 7 hours

3) 4.5 km= 5 hours

? =60 hours

60 \times 4.5 = 270

270 \div 5 = 54

the answer will be 54 kilometer

4) $9.60=3cm

$22.40=?

22.40 \times 3 = 67.20

67.20 \div 9.60 = 7

7 cm

5) $145.50=50 miles

$552.90=?

552.90 \times 50 =27645

27645 \div 145.50 = 190

190 miles

6)$239.85=359

$1.95=?

359 \times 1.95 = 700.05

700.05 \div 239.85 = 2.92

2.92 liter

7)

220=60 hours

?=3 hours

220 \times 3 = 660

660 \div 60 = 11

11 miles

8)1 gallon= $17.50

8.2 gallon=?

17.50 \times 8.2 = 143.50

$143.50

9)7cm=2 minute

? =13 minute

13 \times 7 = 91

91 \div 2 = 45.5

45.5 cm

10)17=4 acres

? =244 acre

244 \times 17 = 4148

4148  \div 4 = 1037

1037 kg

11) 1= $2.85

4.4=?

2.85 \times 4.4 = 12.54

$12.54

12)

$2.50=5 oz

$32.50=?

32.50 \times 5 = 162.50

162.50  \div 2.50 = 65

65 oz

5 0
3 years ago
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