Answer:
10x^2 -4x +6
Step-by-step explanation:
The area of the blue square is
2* 5x^2 = 10x^2
The area of the pink square is
2 * -2x = -4x
The area of the green square is
2 *3 = 6
Add it all together
10x^2 -4x +6
Answer: it will take 125 additional minutes for both costs to be equal.
Step-by-step explanation:
Let a represent the number of additional minutes that it will it take for the two to be the same.
Company A charges a flat fee of 59.99 a month and .43 additional minutes. This means that the total cost of a additional units would be
0.43x + 59.99
Company B charges 69.99 a month and .35 for additional minutes. This means that the total cost of a additional units would be
0.35x + 69.99
For the cost of the two plans to be the same, it means that
0.43x + 59.99 = 0.35x + 69.99
0.43x - 0.35x = 69.99 - 59.99
0.08x = 10
x = 125
Answer:
Gummy bears $3.20/lbs
Jelly beans $7.50/lbs
Step-by-step explanation:
For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):
1.8x + 0.6y = 10.26
1.2x + 1.5y = 15.09
Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)
Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum = 
= 
= 
= 
= 
= 7 * 25
= 175
