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lys-0071 [83]
3 years ago
15

Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi

eld together, how long will it take them?
Mathematics
1 answer:
Marianna [84]3 years ago
8 0
You must find the relative rates of both workers...

T=f/3 and J=f/2  so if they work together to clear the field then:

ft/3+ft/2=f  make all terms have a common denominator of 6

(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f

2ft/6+3ft/6=6f/6  multiply both sides by 6

2ft+3ft=6f  divide both sides by f

2t+3t=6  combine like terms on left side

5t=6  divide both sides by 5

t=6/5 hr

t=1 1/5 hr

t=1 hr 12 min
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5 0
3 years ago
Write the next whole number after 4444 in the base-five system.
svet-max [94.6K]
<h3>Answer:   10000 in base 5</h3>

====================================================

Explanation:

4+1 = 5 in base 10

But in base 5, the digit "5" does not exist.

The only digits in base five are: 0, 1, 2, 3, 4

This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).

----------------

Anyways let's go back to base 5.

Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.

Think how 9+1 = 10 in base 10.

Similarly,

44+1 = 100 in base 5

444+1 = 1000 in base 5

4444+1 = 10000 in base 5

and so on.

----------------

Here are the first few numbers in base 5, when counting up by 1 each time.

0, 1, 2, 3, 4,

10, 11, 12, 13, 14,

20, 21, 22, 23, 24,

30, 31, 32, 33, 34,

40, 41, 42, 43, 44,

100, 101, 102, 103, ...

Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.

7 0
2 years ago
Julie sold 4500 mL of lemonade. How many liters did she sell?
MA_775_DIABLO [31]

Answer:

4.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need help. i dont know where to start......
meriva

Answer:

start at x

Step-by-step explanation:

you are welcome

5 0
3 years ago
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Find the value of x please help
BARSIC [14]

Answer:

It would be 58 degrees

Step-by-step explanation:

In a perpendicular line the opposite side is equivalent

*I hope this was right! ;)


3 0
3 years ago
Read 2 more answers
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