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Reika [66]
3 years ago
12

It takes a hose 5 minutes to fill a rectangular aquarium 10 inches long, 12 inches wide, and 13 inches tall. how long will it ta

ke the same hose to fill an aquarium measuring 21 inches by 27 inches by 33 inches?
Mathematics
1 answer:
pentagon [3]3 years ago
8 0
9" x 10" x 11" = 990 cubic inches.   990 cubic inches / 5 minutes = 198 cubic inches per minute   22" x 23" x 33" = 16698 cubic inches     16698/198 = 84 and 1/3 minutes   1 hour 24 minutes and 20 seconds  
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Please use statemnet reasoning!
dlinn [17]

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO <u>congruent</u> angle EWN Vertical Angles

angle OHW <u>congruent</u> angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

5 0
2 years ago
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I need answer. Please help me.​
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The quotient of a number and 3 is 9.
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2 years ago
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How long would it take you to double your money is the bank pays 3.6% interest, compounded
Lapatulllka [165]

Answer:

t=19.25\ years

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x  

substitute in the formula above

2x=x(e)^{0.036t}  

solve for t

simplify

2=(e)^{0.036t}  

Apply ln both sides

ln(2)=ln[(e)^{0.036t}]

Applying property of exponents

ln(2)=[0.036t]ln(e)

Remember that ln(e) =1

ln(2)=[0.036t]

t=ln(2)/[0.036]

t=19.25\ years

7 0
3 years ago
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu
alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.                        

Frequent Flier Miles (000) Frequency

0                     up to 3 5

3                      up to 6 12

6                      up to 9 23

9                     up to 12 8

12                   up to 15 2

Total                       50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.                

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3                                5 5

3 up to 6                                      12 17

6 up to 9                                      23 40

9 up to 12                               8 48

12 up to 15                               2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0
3 years ago
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