All categories

3 years ago

Ahmad run 5 kilometres. If he completed 15% of the race. How many kilometres is the race?

Mathematics

2 answers:

stepladder [879]3 years ago

4 0

Answer:

x = 33.33 kilometers

Step-by-step explanation:

you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

$\frac{percent}{base} =\frac{rate}{100}$

$\frac{5}{x}=\frac{15}{100}$ ; cross multiply.

15x = 500

x = 33.33 kilometers

therefore, the race is 33.33 kilometers.

Vilka [71]3 years ago

4 0

Answer:

33.33

Step-by-step explanation:

15%/100 and 15%=5KM 5=15% so make it 1% 5÷15=0.3333..... = 1% therefore time it to 100×0.3333 (1%) = 33.33KM is the total race KM

You might be interested in

The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of

Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8 ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0

3 years ago

Darcy, Jason, and Maria share $268. Jason has $20 more then Darcy

aleksandr82 [10.1K]

Answer:

Darcy and Jason have $124 combined

Step-by-step explanation:

8 0

4 years ago

Which equation tells you the value in the truck pattern that is created from 26 squares?

Genrish500 [490]

Answer: 26=3x+2

Step-by-step explanation:

HOPE THIS HELPS =)

6 0

3 years ago

Read 2 more answers

Watch help video

adelina 88 [10]

Answer:

m= 6/-5

Step-by-step explanation:

m= y2-y1/x2-x1

m= 6-(-6)/-18-(-8)

m= 12/-10

m= 6/-5

8 0

3 years ago

Is 12n2+12n+1 prime over the set of polynomials with rational coefficients? Need help ASAP

professor190 [17]

Answer:

No, the given polynomial is not prime.

Step-by-step explanation:

Given: a polynomial $12n^2+12n+1$

To check: whether the given polynomial is prime or not.

Solution:

A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree and has integers as coefficients.

In the given polynomial, coefficients are integers.

Also, the polynomial $12n^2+12n+1$ cannot be factored further into polynomials of lower degree.

So, the given polynomial is not prime.

8 0

4 years ago