Answer:
x=3
Step-by-step explanation:
3(2x+5)=4x+21
6x+15=4x+21
-4x -4x
2x+15= 21
-15 -15
2x=6
2 2
<h2>x=3 Hope that helped!!!!</h2>
In x th month, members =
. Option D.
Step-by-step explanation:
Given,
Initially number of members = 3
Every month each member brought 1 new member.
To find the number of members after x months.
<u>Solution:</u>
In 1st month, members = 3
In 2nd month, members = 3×3 = 9 = 3²
In 3rd month, members = 9×9 = 81 = 
In 4th month, members = 81×81 = 81 = 6561 = 
Hence,
In x th month, members = 
3x + 4y = 38 ( equation 1) ----> ×5
5x - 5y = -30 ( equation 2) ----> ×3
When you multiply eqn 1 by 5 you get, 15x + 20y = 190
And when you multiply eqn 2 by 3, you get, 15x - 15y = -90
Then you solve both equations by subtracting eqn 2 from eqn 1
15x + 20y = 190
15x - 15y = 90
Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280.
So that gives 35y = 280
y = 8
And when you replace y = 8 in any of the two equations, x = 2
Answer:
Step 4
Step-by-step explanation:
Given: Steps used by Shelly to evaluate the expression
To find: step that includes Shelly's mistake
Solution:
According to PEMDAS,
P denotes Parentheses
E denotes Exponents
M denotes Multiplication
D denotes Division
A denotes Addition
S denotes subtraction
Step 3 is
and step 4 is 
In step 4, first subtraction operation has been applied before the division operation.
There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.
Answer:

Step-by-step explanation:
Let
x ----> the number of 1/3 in that are in 5/6 in
To find out the number of 1/3 in that are in 5/6 in, divide 5/6 by 1/3
so

Multiply in cross

Convert to mixed number
