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FromTheMoon [43]
3 years ago
8

A person needs to fill 18 water jugs with a hose. Filling the first 3 jugs has taken 5 minutes. How long to finish filling the r

emaining jugs?
Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

10.8 minutes

Step-by-step explanation:

Given data

We are told that the number of Jugs is 18

Filling the first 3 jugs has taken 5 minutes

let us find the filling rate

Rate= 3/5

Rate= 0.6 Jugs per minute

Hence the rate of filling is 0.6 Jugs per minute

Therefore the time take to fill the remaining 16 jugs is

TIme= Rate*Number of Jugs

TIme= 0.6*18

Time= 10.8 minutes

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What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain a
ivanzaharov [21]

Answer:

The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that x = 7, AB = 4\cdot x - 2, BC = 2\cdot x + 12, DC = 3\cdot x +5, AD = 6\cdot x -16, AC = 4\cdot x + 12 and DB = 8\cdot x -10, the lengths of each line segment are respectively:

Sides

AB = 4\cdot (7) -2

AB = 26

BC = 2\cdot (7) +12

BC = 26

DC = 3\cdot (7) +5

DC = 26

AD = 6\cdot (7) -16

AD = 26

Diagonals

AC = 4\cdot (7) +12

AC = 40

DB = 8\cdot (7) - 10

DB = 40

This information indicates that this quadrilateral is a square because of these characteristics:

1) All sides have the same length.

2) The ratio of any diagonal to any side is \sqrt{2}.

3 0
3 years ago
How do you solve 5x - 10 = 3x
svetoff [14.1K]
5x-10=3x
-10=-2x
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3 years ago
Desmond spends $800 per month on fixed expenses. Desmond earns $10,00 per hour,
Elis [28]

Answer:  160 hours

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

Explanation:

He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.

If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.

Set 10x equal to this and solve for x

10x = 1600

x = 1600/10

x = 160

He needs to work 160 hours a month.

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

Extra info:

Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week

If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.

So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).

7 0
3 years ago
This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?​
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Answer:

y= 1.25(2)^{x}

Step-by-step explanation:

y= 1.25(2)^{x}

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For x=2

y= 1.25(2)^{2} = 1.25(4)=5

For x=3

y= 1.25(2)^{3} = 1.25(8)=10

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What are two integers whose product is a negative.
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-25×2=-50
Negative and positive numbers are integers, like shown above. Their product is negstive.
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