The difference of three times a number and 4 is 13. Find the number. Round your answer to the hundredths place as needed.

marin [14]

The correct answer is 1 5/12. Hope this helps.

6 0

3 years ago

A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time

777dan777 [17]

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour = $\frac{1}{6}$

Part filled by four taps in one hour = $4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}$

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = $1-\frac{1}{2}=\frac{1}{2}$

Time taken to fill the half of the bucket= $(\frac{1}{2} )(\frac{2}{3})=\frac{3}{4}$ hours

Convert the hours to minutes

$(\frac{3}{4})60=45$ minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+ Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

Learn more about time here

brainly.com/question/28050940

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8 0

1 year ago

Which is the minimum or maximum value of the given function? a. The function has a minimum value of -2 b. The function has a min

Alex17521 [72]

Answer:

The function f(x) is not given, I used a different function but the approach and steps is the same .

Step-by-step explanation:

Given the function f(x) = 2x2 - 8x + 5

compare with the normal quadratic equation ; ax2 + bx + c = f(x)

a = 2, b = -8 and c = +5

since a is greater than zero i.e a > o {positive}

As such, it has a minimum

hence for minimum value; x = -b/2a

x = -(-8)/2 x 2

x = 8/4 = 2

plugging the values of x in f(x) ; f(2) = 2(2)^2 -8(2) + 5

f(2) = -3, hence it has minimum value and the minimum value is -3

3 0

3 years ago

From $2003$ onward, the number of daily visitors to a website increased by $200\%$ every two years. So, for example, the number

andrew-mc [135]

Answer:

2007

Step-by-step explanation:

If the number of visitors was, say, 100 people in 2003, then in 2005 that number would have gone up to 300 people, which is a 200% increase. And that number would have gone up to 900 people in 2007, which is an 800% increase.

5 0

3 years ago

The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t

ziro4ka [17]

Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

$Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}$

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

3 0

2 years ago