Answer:
(a)
(b)
Bag of popcorn = $6
Candy = $5
Step-by-step explanation:
Given
Jackson: x = 8; y= 2; Total = 58
Cooper: x = 4; y= 5; Total = 49
Solving (a): System of equation
For Jackson:
This is done by multiplying each variable by the quantity.
Same will be applied to Cooper's purchase:
Cooper:
Solving (b): Price of 1 bag of popcorn and 1 candy
This implies that we solve for x and y
----- (1)
-------- (2)
Multiply the second equation by 2
-------- (3)
Subtract the (1) from (3)
Solve for y
Substitute 5 for y in (1)
Solve for x
This implies:
Bag of popcorn = $6
Candy = $5
Answer:
k = -3 or 5
Step-by-step explanation:
The given parameters are;
The line extends from points (-1, 1) to point (2, k)
The length of the line = 5 units
The formula for the length, l, of a line given its coordinates can be found by the following formula;
Therefore, we have;
Which, by squaring both sides, gives;
25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²
25 = (k - 1)² + 3² = k² - 2·k + 1 + 9
25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15
0 = k² - 2·k - 15
0 = (k +3) × (k - 5)
Therefore, k = -3 or 5
When k - -3, we have;
When k = 5, we have;
Answer:
(0, -1)
Step-by-step explanation:
The c value of the equation represents the y-intercept. c=-1 so the y-intercept must be (0,-1)
Answer:
there's 104 days of summer vacation
Answer:
y=-12
Step-by-step explanation:
-2(18-3y)=7y+2y
-36+6y=9y
9y-6y=-36
3y=-36
y=-12
