Answer:
John's mother has the present age that is four less than the 8 times the present age of John.
If his mother has the age of 28 years now, then find John's present age.
Step-by-step explanation:
We have to write a word problem that would have the equation 8x - 4 = 28.
John's mother has the present age that is four less than the 8 times the present age of John.
If his mother has the age of 28 years now, then find John's present age.
So, if we consider the age of John as x years, then we will get the equation as 8x - 4 = 28. (Answer)
Answer:
The correct option is:
2, 4, 12, 48, 240
Step-by-step explanation:
We have to determine the first 5 terms of the sequence by using following formula:
![a_n=2n!](https://tex.z-dn.net/?f=a_n%3D2n%21)
To Calculate the first 5 terms.
Put n = 1
a₁ = 2 (1)!
a₁ = 2(1)
a₁ = 2
Put n = 2
a₂ = 2 (2)!
a₂ = 2 (2·1) = 2(2)
a₂ = 4
Put n = 3
a₃ = 2(3)!
a₃ = 2(3·2·1)
a₃ = 2(6)
a₃ = 12
Put n = 4
a₄ = 2(4)!
a₄ = 2(4·3·2·1)
a₄ = 2(24)
a₄ = 48
Put n =5
a₅ = 2(5)!
a₅ = 2(5·4·3·2·1)
a₅ = 2(120)
a₅ = 240
Answer:
x<-10 or 0<x<7
Step-by-step explanation:
x-70/x<-3
x^2-70/x<-3
x^2-70=-3x
x^2-70- -3x=-3x- -3x
x^2+3x-70=0
(x+7)(x+10)=0
x-7=0 or x+10=0
x=7 or x=-10
![\displaystyle\int\frac{x^7}{1+x^{16}}\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7Bx%5E7%7D%7B1%2Bx%5E%7B16%7D%7D%5C%2C%5Cmathrm%20dx)
Notice that
![x^{16}=(x^8)^2](https://tex.z-dn.net/?f=x%5E%7B16%7D%3D%28x%5E8%29%5E2)
, so let's make the substitution
![y=x^8](https://tex.z-dn.net/?f=y%3Dx%5E8)
, so that
![\mathrm dy=8x^7\,\mathrm dx](https://tex.z-dn.net/?f=%5Cmathrm%20dy%3D8x%5E7%5C%2C%5Cmathrm%20dx)
. Then the above can be written as
Equation would be: 1.50 + 0.25x = 3.75
Where, x = miles / 5
0.25x = 3.75 - 1.50
x = 2.25 / 0.25
x = 9
So, In short, Your Answer would be 9/5 or 1.8 miles
Hope this helps!