Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
Answer:
The amount of Data needed for monthly charge to be same = 5 GB
Step-by-step explanation:
Given as :
<u>Cell Phone plan A </u>
Monthly rent of $ 20 per month
The charge on use of Data is $2 per GB
<u>Cell Phone plan B</u>
Monthly rent of $ 15 per month
The charge on use of Data is $3 per GB
Now from given two data plan ,
To make the monthly charge on Internet for both the cell phone to be same
Let the amount of data needed be x GB
So, A|C to question :
20 + x × 2 = 15 + x × 3
Or, 20 - 15 = (3x - 2x)
Or, 5 = x
∴ x = 5 GB
Hence The Amount of Data needed to make charges same is 5 GB Answer
Red is 1 out of 6 as there are 6 colors
blue is 1 out of 5 as there are 5 remaining colors to pick from
Answer:
115°
Step-by-step explanation:
The above shape is a quadrilateral.
A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
The sum of interior angles of a Quadrilateral is 360°
Therefore,
115 + 65 + 65 + m = 360
245 + m = 360
m = 360 - 245
m = 115°
Therefore, m< B = 115°
7(2x + 3) + 2(2x + 4)
Distribute/multiply 7 into (2x + 3), and distribute 2 into (2x + 4)
(2x(7) + 3(7)) + (2x(2) + 4(2))
14x + 21 + 4x + 8 Combine like terms
18x + 29