Answer:
x - 2y + 5z = 0
Step-by-step explanation:
The standard equation is of the form, Ax + By + Cz = 0
The equation of the plane that passes through the origin(0, 0, 0) and is perpendicular to [1, -2, 5] is
A = 1, B = -2, C = 5
x = y = z = 0 (at origin)
A(x-0) + B(y-0) + C(z-0) = 0
(x - 0) -2(y-0) + 5(z-0) = 0
x - 2y + 5z = 0
Answer:
a. $0.07
Step-by-step explanation:
Profit = Charge -Cost
We want to make a profit of 25 and the cost is 10
25 = Charge -10
Add 10 to each side
25+10 = Charge -10+10
35 = Charge
We need to charge 35 per jar.
Each jar contains 500 marbles
The cost per marble is Cost/ number of marbles
cost per marbles = $35 / 500
= $.07
Answer:
Shalini = 12
Poonam = 60
Step-by-step explanation:
Let p = poonams age
Let s = shalini's age
p = 5s
p+s = 72
Substitute the first equation into the second equation
5s+s = 72
Combine like terms
6s= 72
Divide by 6
6s/6 = 72/6
s = 12
p = 5s =5*12 = 60
Shalini = 12
Poonam = 60
Answer:42, 3, 2, 15
Step-by-step explanation: