-2x + 5 = 1/3x - 22
-7/3x = -27
-7x = -81
x = 81/7 or 11.57
They will intersect when x = 81/7 or 11.57
Answer:
option C
c.
least: $101
greatest: $1001
Step-by-step explanation:
A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.
Sum of 10 prizes = 5510
100 is the difference. there is a common difference d=100
So its a arithmetic sequence
the sum formula for arithmetic sequence is

Sn = 5510, n=10 n d= 100 we need to find out first term a1

5510 = 5 (2a1 + 900)
5510 = 10a1 + 4500
Subtract 4500 on both sides
1010= 10a1
divide by 10 on both sides
a1 = 101
so first term that is least term is 101
To find out greatest term we use formula

a(10) = 101 + (10-1)100
= 101 + 900= 1001
greatest is 1001
Answer:
37 degree
Step-by-step explanation:
AB = 180 it is a straight line
ACD = 90 degree
DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.
DE = 53 deg
DCB = 90-53= 37 degree
g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.
Answer: c. f - 3 + 6d
Explanation: 5d - d + 4 + 2d - 5f - 6f - 7
- 5f - 6f = f
4 - 7 = -3
5d - d = 4d, 4d + 2d = 6d
Answer:
y = 64
Step-by-step explanation:
Using the rule of logarithms
•
x = n ⇔ x = 
Given
4 =
, then
4 = 
Cube both sides
4³ = (
)³, hence
y = 64