Answer:
30
Step-by-step explanation:
x=6
4 by 6 =24
24 + 6 =30
The two systems have the same solution.
The correct answer is 3) since the first equation of system B is indeed the addition of the first equation of system A and 4 times the second equation of system A.
Answer: 3)
Answer:
Pumkins $7 and Watermelons $5
Step-by-step explanation:
let pumkins be P and watermelons be W s0
5P+20W=135 and 10P+16W=150
express first equation in terms of P
5P+20W=135
5P=135-20W (divide equation by 5)
P=27-4W
now express the second equation using the new P value
10P+16W=150
10(27-4W)+16W=150
270-40W+16W=150
120=24W
W=5
now plug in w value and solve for p
5P+20(5)=135
P=7
Answer:
18 sqrt(2)
Step-by-step explanation:
Simplify the following:
2 sqrt(18) + 3 sqrt(2) + sqrt(162)
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
2×3 sqrt(2) + 3 sqrt(2) + sqrt(162)
2×3 = 6:
6 sqrt(2) + 3 sqrt(2) + sqrt(162)
sqrt(162) = sqrt(2×3^4) = 3^2 sqrt(2):
6 sqrt(2) + 3 sqrt(2) + 3^2 sqrt(2)
3^2 = 9:
6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2)
Add like terms. 6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2) = 18 sqrt(2):
Answer: 18 sqrt(2)
