Answer:
11/12
Step-by-step explanation:
Fraction of smoothie that is Banana = 1/4
Fraction of smoothie that is strawberry = 2/3
The fraction of smoothies that were either banana or strawberry
= 1/4 + 2/3
Least Common Denominator= 12
= (3 × 1 + 2 × 4)/12
= 3 + 8/12
= 11/12
The fraction of smoothies were either banana or strawberry is 11/12
X = a/b
4 = a/2
multiply both sides by 2 to isolate the variable
a = 8
Bror cancelled terms which should NEVER be done.
x² + 3x + 2 / (x + 2) =
(x+1) * (x+2) / (x+2)
Cancelling the (x+2) factor we get
x + 1
Answer:
17822
Step-by-step explanation:
The number that are divisible by 7 between 30 and 500 are as follows :
35, 42,49,.....,497
It will form an AP with first term, a = 35 and common difference, d = 7
Let there are n terms in the AP.
nth term of an AP is given by :

Putting all the values,

Now, the sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Putting all the values,
![S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B67%7D%7B2%7D%5B2%2835%29%2B%2867-1%297%5D%5C%5C%5C%5CS_n%3D17822)
Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.