Answer:
30(0.5b+3.75)
Step-by-step explanation:
if b is beads and 0.50 is the price of a bead, you have to multiply the two together. The beads and 3.75 go together bc that's all for 1 necklace. The 30 multiplies all of them bc it's 30 necklaces
+2.15.
Explanation: subtract 6.3 by 4.15 = 2.15 so you add 2.15
Answer:
<u>x = 18</u>
Step-by-step explanation:
1. Let's solve for x, using the supplementary angles theorem, this way:
∠ C = 180 - 7x + 2 because they are supplementary angles. And these angles add up to 180 degrees.
∠ D = 180 - 9x + 31 because they are supplementary angles. And these angles add up to 180 degrees.
∠ E = 180 - 4x - 33 because they are supplementary angles. And these angles add up to 180 degrees.
Now, let's recall that the interior angles of a triangle add up to 180 degrees. Thus:
∠ C + ∠ D + ∠ E = 180 °
Replacing with the real values for solving for x:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
- 20 x + 540 = 180
- 20 x = 180 - 540 (Subtracting 540 to both sides)
- 20 x = - 360
<u>x = 18 (Dividing by - 20)</u>
<u>Proving that x = 18 is correct</u>
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
180 - 9 (18) + 31 + 180 - 4 (18) - 33 + 180 - 7 (18) + 2 = 180
180 - 162 + 31 + 180 - 72 - 33 + 180 - 126 + 2 = 180
573 - 393 = 180
180 = 180
<u>We proved that x = 18 is correct</u>
There are 4! ways in which she can hang the bulbs, which means 4x3x2x1. this is 24 ways.
g o b p
g o p b
g b p o
g b o p
g p o b
g p b o
o g b p
o g p b
o p g b
o p b g
o b p g
o b g p
b o g p
b o p g
b p o g
b p g o
b g o p
b g p o
p g o b
p g b o
p b o g
p b g o
p o b g
p o g b
of these ways, there are 12 where green and brown aren't next to each other
