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3 years ago

A cyclist travelled 4 miles in 15 minutes. What is her average speed in mph?

Mathematics

1 answer:

avanturin [10]3 years ago

8 0

Answer:

16 Miles/Hours

Step-by-step explanation:

Average speed is the total distance covered divided by the total time

In that case we have a distance of 4 miles

Time is 15 minutes and in order to convert from minutes to hours we divide by 60 and it becomes 0.25 hours

So 4/0.25 is 16 Miles/Hours

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Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53

8_murik_8 [283]

Answer:

The amount that came is $\frac{-68}{3}$

Step-by-step explanation:

The computation is shown below:

According to the question, it is mentioned that

Multiply 4 by $-5\frac{2}{3}$

First open the equation in a fraction it would be $\frac{-17}{3}$

Now multiplied the above fraction by a 4

That gives the result of $\frac{-68}{3}$

Hence, the amount that came is $\frac{-68}{3}$

We simply multiply the 4 with the given fraction

Thus the above represents the simplest form of the fraction

5 0

3 years ago

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

$\Rightarrow t=16.34$

8 0

3 years ago

Read 2 more answers

PLEASE HELP WILL GIVE BRAINLYEST AND 10 POINTS!!!

Alina [70]

Answer:

Step-by-step explanation:

6 0

3 years ago

At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per mo

pshichka [43]

S(x)=30x+45
F(x)=90x+35

4 0

3 years ago

Amanda teaches the art of quilling to four students these students each teach the art of quilling to four other students if this

il63 [147K]

Answer:

341

Step-by-step explanation:

The number of people who know the art of quilting in each successive generation is

1, 4, 16, …

These numbers represent a geometric sequence where each term has the form

aₙ = a₁rⁿ⁻¹

In your sequence, a₁ = 1 and r = 4.

Then, the formula for your sequence is

aₙ = 4ⁿ⁻¹

Sum over five generations

The formula for the sum of the first n terms of a geometric series is

Sum = a₁[(1 - rⁿ)/(1 - r)]

Sum = 1[(1 - 4⁵)/(1 - 4)

= (1 - 1024)/(-3)

= -1023/-3

= 341

If the process continues for five generations, 341 people will know the art of quilting.

4 0

3 years ago

Read 2 more answers