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vovangra [49]
3 years ago
10

Paul's bathtub is clogged. He has to empty 30 liters of water by hand. Paul has a 3- liter, a 4- liter, and a 5 liter bucket. Of

Paul carries 2 buckets each trip, what combinations of sizes allow him to empty the bathtub in exactly four trips?
Mathematics
1 answer:
notka56 [123]3 years ago
5 0
3 and 4 + 3 and 4 + 3 and 4 + 4 and 5 = 30
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Is 4/5 less than greater than or equal to 3/4
ryzh [129]
4/5=0.8
3/4=.75
So, 4/5 is greater than 3/4
Hope this helped

8 0
3 years ago
Read 2 more answers
Lucas’s computer took 480 seconds to download 30 songs. How many seconds per song did it take his computer to download?
Arte-miy333 [17]

Answer:

16 seconds per download

Step-by-step explanation:

480/30 = 16 seconds

4 0
3 years ago
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Steve drove for 8 1/2 hours at 72 miles per hour. How much distance did he travel?
Pie

Answer:

He traveled 612 miles in total.

Step-by-step explanation:

You simply multiply the mph he was going to how long he traveled for. This gives us 72x8.5 equaling 612.

7 0
3 years ago
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You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock
Rainbow [258]

Answer:

8.31  weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\  \Rightarrow 180 = 120\left(1.05 )^t \\\\

\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t

\Rightarrow \ln(1.5)=t \ln(1.05) [taking log both sides]

\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31 weeks

Hence, after 8.31  weeks the stock has been sold for $180.

6 0
3 years ago
The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

- 3y + 4x = 9 \\ or \\  - 3y =  - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\  \: is \:  - 4

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

y = mx + c \\  6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\  - 42 = c

y = mx + c \\ y =  - 4x - 42

3 0
2 years ago
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