Let x = Snicker Bars
Let y = Wrapping paper
Therefore, solve as simultaneous equation:
16x + 4y = 132
20x + 6y = 190
Solve for y:
16x + 4y = 132
x = 132 - 4y/16
Substitute value of x into 20x + 6y = 190:
20(132 - 4y/16) + 6y = 190
2640 - 80y/16 + 6y = 190
2640 - 80y = 16(190 - 6y)
2640 - 80y = 3040 - 96y
96y - 80y = 3040 -2640
16y = 400
y = 400/16
y = 25
Substitute value of y = 25 in x = 132 - 4y/16 to find x:
x = 132 - 4(25)/16
x = 2
Therefore, the prices per Snickers snack bars is 2.
Answer:
990 ways to choose 6 starters out of 14 with exactly two of the three triplets.
Step-by-step explanation:
Ways to choose 2 of the triplets
= C(3,2) = 3! / (2!1!) = 3
Ways to choose the remaining 4 starters out of 11 players left
= C(11,4) = 11! / (4!7!) = 330
Total number of ways to choose 6 starters
= 3*330 = 990
Split the second term in 2x^2 - x - 6 into two terms
2x^2 + 3x - 4x - 6
Factor out common terms in the first two terms, then in the last two terms
x(2x + 3) - 2(2x + 3)
Factor out the common term 2x + 3
<u>(2x + 3)(x - 2) </u>
Graph D.
Graph D is the correct answer because it represents a POSITIVE and EXPONENTIAL (non-linear) relationship.
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
