First add 1/2 and 3/4 together by making 1/2, 2/4 then add 3/4 to get 5/4 or 1 1/4 then 10 - 1 1/4 is 8 3/4 which is the answer
Answer:
A ≈ 254.5 in²
Option C
Step-by-step explanation:
Area of a Circle Formula: A = πr²
d = 2r
Since we are given diameter <em>d</em>, we simply divide by 2 to get radius <em>r</em>:
r = 18/2 = 9
Then we simply plug it into the formula:
A = π(9)²
A = 81π
A = 254.469
Answer:
10x + 30 = 600
Step-by-step explanation:
Johnny gets $10 per week, which is $10x for x number of weeks.
He already has $30, so his money becomes 10x + 30.
His goal is to have $600, so our equation becomes 10x + 30 = 600
Answer:
20 km/hr
Step-by-step explanation:
Hey
Distance= 15km
Time= 45min
Since the unit for time is hours, we will convert 45 minutes to hours
45/60 = 0.75 hours
Speed= d/t
= 15/0.75
= 1500/75
= 20 km/h
Hope this helps
Answer:
Option B
Step-by-step explanation:
Expression representing the series is,

Here, k = Number of terms
By placing k = 6, 7, 8, 9, 10, 11 in the expression we can get the terms of the series.
For k = 6,
(2k + 5) = 2(6) + 5
= 17
For k = 7,
(2k + 5) = 2(7) + 5
= 19
For k = 8,
(2k + 5) = 2(8) + 5
= 21
For k = 9,
(2k + 5) = 2(9) + 5
= 23
For k = 10,
0(2k + 5) = 2(10) + 5
= 25
For k = 11,
(2k + 5) = 2(11) + 5
= 27
Therefore, expanded form will be,
17, 19, 21, 23, 25, 27
There, is a common difference in each successive to previous term,
d = 19 - 17
d = 2
Number of terms 'n' = 6
First term = 17
Sum of an arithmetic sequence is given by,
![S=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Therefore, sum of the given sequence will be,
![S=\frac{6}{2}[2(17)+(6-1)2]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B6%7D%7B2%7D%5B2%2817%29%2B%286-1%292%5D)
= 3(34 + 10)
S = 132
Option B will be the correct option.