Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.
Then, based upon the given info, 1j + 2c = $5.
Also, 3j + 5c = $14.50
Let's solve this system of equations using addition/subtraction:
Mult. the first equation by -3, to obtain -3j - 6c = -$15
Now add this result to the 2nd equation:
-3j - 6c = -$15
3j + 5c = $14.50
----------------------
-c = -$0.50, or c = $0.50. Since 3j + 5c = $14.50, subst. $0.50 for c
lets us find j:
3j + 5($0.50) = $14.50, so 3j = $12.00. Thus, j = $4.00.
Jumbo popcorn is $4/bag, and choc. chip cookies $0.50 each.
9514 1404 393
Answer:
∠4 = 100°
Step-by-step explanation:
This has nothing to do with parallel lines.
Angles 1 and 4 are "vertical angles", hence congruent.
∠1 = ∠4 = 100°
_____
Vertical angles are on opposites sides of the intersection where lines cross.
12^2 - 11^2
= 144 - 121
= 23
square root (23) = 4.79 = 4.8
answer
C. 4.8
Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.
Answer: Parallel: y=-2/7x-2 1/7 Perpendicular: y=7/2x+13
Step-by-step explanation:
2x+7y=14
Subtract 2x from both sides.
7y=-2x+14
Divide both sides by 7 to isolate y.
y=-2/7x+2
Parallel:
Plug in x and y with same slope as the original.
-1=-2/7(-4)+b
Solve for b:
-1=8/7+b
-2 1/7=b
y=-2/7x-2 1/7
Perpendicular:
Plug in x and y with the negative inverse of the original slope.
-1=7/2(-4)+b
Solve for b.
-1=-28/2+b
-1=-14+b
13=b
y=7/2x+13
