Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
(3x - 2) - (3x+ 6)=
3x - 5) + (3x + 6)
3x - 5 + 3x + 6
Combine the 'x'-terms: 3x + 3x = 6x
Combine the numbers: -5 + 6 = 1
The expression is equivalent to . . . . . 6x + 1
Answer:
A
B
C
Step-by-step explanation:
Well the sides of the smaller squares have to be greater than the biggest when put together.
a + b > c
So we need to find the square root of 55.
≅ <u>7.4</u>
<u />
Now for option A)
srt ⇒ 12 ≅3.5
srt ⇒ 43 ≅ 6.6
3.5 + 6.6 = <u>10.1</u>
So option A is correct.
Option B)
srt ⇒ 14 ≅ 3.7
srt ⇒ 40 ≅ 6.3
3.7 + 6.3 = <u>10</u>
So option B is also correct.
Option C)
srt ⇒ 16 = 4
srt ⇒ 37 ≅ 6.1
4 + 6.1 = <u>10.1</u>
So option C is also correct.
<em>Therefore,</em>
<em>all options are correct.</em>
<em />
<em>Hope this helps :)</em>
