8 is a whole number, so this will be the whole number part of our mixed number.
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.
![\sf\dfrac{25}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B25%7D%7B100%7D)
Simplify by dividing 25 to the numerator and denominator.
![\sf25\div25=1](https://tex.z-dn.net/?f=%5Csf25%5Cdiv25%3D1)
![\sf100\div25=4](https://tex.z-dn.net/?f=%5Csf100%5Cdiv25%3D4)
So our fraction is
![\sf8\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Csf8%5Cdfrac%7B1%7D%7B4%7D)
0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.
![\sf\dfrac{55}{100}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B55%7D%7B100%7D)
Simplify by dividing 5 to the numerator and denominator.
![\sf55\div5=11](https://tex.z-dn.net/?f=%5Csf55%5Cdiv5%3D11)
![\sf100\div5=20](https://tex.z-dn.net/?f=%5Csf100%5Cdiv5%3D20)
So our fraction is
![\sf\dfrac{11}{20}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B11%7D%7B20%7D)
![\sf\dfrac{5}{8}](https://tex.z-dn.net/?f=%5Csf%5Cdfrac%7B5%7D%7B8%7D)
To convert this to a decimal, just divide 5 / 8
Answer:
is the value of x. Step-by-step explanation: We have been given the two terms which are equivalent means they have equal value: and . So, by the given information: we have to solve for x: Firstly, we will cross multiply so, we will get: After simplification we will get the final result is the value of x.
Step-by-step explanation:
Answer:
The average number of visitors per day is 272.
Step-by-step explanation:
Total number of visitors in the zoo in a year = 98,464
Now,we know that 1 YEAR = 365 DAYS
Also, the zoo was closed on thanksgiving, Christmas, and New Year's Eve
So, the Number of days zoo was open = Total Days in year - 3 days
= 365 - 3 = 362 days
⇒Number of visitors in 362 days = 98,464
So, ![\textrm{Number of visitor per day} = \frac{\textrm{Total number of visitors in 352 days}}{\textrm{352 days}}](https://tex.z-dn.net/?f=%5Ctextrm%7BNumber%20of%20visitor%20per%20day%7D%20%3D%20%20%5Cfrac%7B%5Ctextrm%7BTotal%20number%20of%20visitors%20in%20352%20days%7D%7D%7B%5Ctextrm%7B352%20days%7D%7D)
![= \frac{98,464}{362} = 272](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B98%2C464%7D%7B362%7D%20%20%3D%20272)
or, the number of people visiting per day is 272.
Hence, the average number of visitors per day is 272.
Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
The number of kilometers she will have left to run to finish the race is 0.9 km.
<u>Given the following data:</u>
- Speed =
![8\frac{2}{5} \;km/hr](https://tex.z-dn.net/?f=8%5Cfrac%7B2%7D%7B5%7D%20%5C%3Bkm%2Fhr)
To determine the number of kilometers she will have left to run to finish the race:
First of all, we would calculate the distance she has covered by using this formula;
![Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}](https://tex.z-dn.net/?f=Distance%20%3D%20speed%20%5Ctimes%20time%5C%5C%5C%5CDistance%20%3D%208%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%201.5%5C%5C%5C%5CDistance%20%3D%20%5Cfrac%7B42%7D%7B5%7D%20%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5C%5C%5CDistance%20%3D%20%5Cfrac%7B63%7D%7B5%7D)
Distance = 12.6 meters.
<u>For the </u><u>distance left</u><u>:</u>
![Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6](https://tex.z-dn.net/?f=Distance%5C%3Bleft%20%3D%20Total%5C%3Bdistance%20-%20Distance%5C%3Bcovered%5C%5C%5C%5CDistance%5C%3Bleft%20%3D13.5%20-12.6)
Distance left = 0.9 km.
Learn more about distance here: brainly.com/question/10545161