Answer:
A) 78
Step-by-step explanation:
The given sequence is an arithmetic sequence.
Here A1 = -6, common difference = (3/2)
nth term An = a1 + (n -1)d
A57 = -6 + (57 -1)3/2
= -6 + (56)*3/2
= -6 + 28*3
= -6 + 84
A57 = 78
Thank you.
Answer:
5
Step-by-step explanation:
n + m -2(m-m)
Combine like terms
n+m+2(0)
n+m
Let m=3 and n=2
2+3
5
Hey there!!
Given equation :
... -4 ( x + 10 ) - 6 = -3 ( x - 2 )
Using the distributive property :
... -4x - 40 - 6 = -3x + 6
Combining like terms :
... -4x - 46 = -3x + 6
Adding 46 on both sides :
... -4x = -3x + 52
Adding 3x on both sides :
... -x = 52
... x = -52
Hope helps!
Answer:
89⁷/₈ in
Step-by-step explanation:
The perimeter of a shape can be found by adding up the side lengths.
So, we have to find 20⁹/₁₆ + 23³/₈ + 21⁵/₁₆ + 24⁵/₈
Common denominator (16): 20⁹/₁₆ + 23⁶/₁₆ + 21⁵/₁₆ + 24¹⁰/₁₆
Add fractions: ⁹/₁₆ + ⁶/₁₆ + ⁵/₁₆ + ¹⁰/₁₆ = ³⁰/₁₆
Simplify: ³⁰/₁₆ = ¹⁵/₈ = 1⁷/₈
Add whole numbers: 1⁷/₈ + 20 + 23 + 21 + 24 = 89⁷/₈ in