Answer:
4y = x - 17
Step-by-step explanation:
First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = 
+ 
which make the gradient, m, the coefficient of x = 
. Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)
Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)
y - 3 = 
(x - 5); y - 3 = 
- 
; y = - +3
y = - 
; y = 
; 4y = x - 17
Answer:
5
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Answer:
The amount of water to be added is ¹/₄ gallon
Step-by-step explanation:
Given;
amount of pure antifreeze at 100% = 1 gallon
let the amount of water to be added with 0% antifreeze = (x) gallon
then, the amount of mixture at 80% antifreeze = (x + 1) gallon
For conservation of mass, we will have the following equation;
(1 x 1) + (0)(x) = 0.8(x +1)
1 = 0.8x + 0.8
0.8x = 1 - 0.8
0.8x = 0.2
x = 0.2 / 0.8
x = ²/₈
x = ¹/₄ gallon
Therefore, the amount of water to be added is ¹/₄ gallon
Answer:
x + y ≥ 20
3x + 5y > 60
Step-by-step explanation:
Let
Bags of candy corn = x
Bags of chocolate = y
Cost of bags of candy corn = $3
Cost of bags of chocolate = $5
He needs to buy at least 20 bags of candy and he cannot spend more than $60
system of linear inequalities to model the situation.
x + y ≥ 20
3x + 5y > 60
The system ot inequalities which models the situation
x + y ≥ 20
3x + 5y > 60
