Step-by-step explanation:
add all marbles together:
4 (green) + 3 (red) + 3 (yellow) = 10 marbles total
if we pick a yellow marble out of the bag and do not replace it, then we have 2 yellow marbles left.
we need to add marbles again with one yellow marble subtracted.
4 (green) + 3 (red) + 2 (yellow) =
new Total is 9 marbles.
so then we have 2 yellow marbles out of 9 total marbles.
2:9
or 2/9
or .22 (22%)
is the probability
Answer:
.
Step-by-step explanation:
We have been given that Mrs. Chen's students are making and decorating gift boxes for a nursing home. The boxes are 7 inches wide, 7 inches long, and 7 inches high. We are asked to find the amount of cardboard that is needed for each box.
We will use surface area of cuboid formula to solve our given problem.
, where,
l = Length,
w = Width,
h = Height
Therefore, Mrs Chen needs 84 square inches of cardboard.
Answer:
88° and 132°
Step-by-step explanation:
The sum of angles in a pentagon ( a 5-sided shape) is given as
= (5 - 2) 180°
= 540°
The angles ∠EAB and ∠AED are supplementary hence the sum is 180° Therefore,
∠AED + 110 = 180
∠AED = 180 - 110
= 70°
Given that the sum of the angles in a pentagon is 540° then
110 + 70 + 2k + 140 + 3k = 540
5k + 320 = 540
5k = 540 - 320
5k = 220
k = 220/5
= 44°
Hence the angle ∠ABC
= 2 × 44
= 88°
∠CDE
= 3 × 44
= 132°
Y = mx + b
8x - 4y - 9 = 0
first you move the nine to the other side of the equal sign (add nine to both sides)
8x - 4y = 9
then you need to also move your 8x over to the other side as well (remember we are trying to get y by itself!)
- 4y = -8x + 9
then we are going to divide -4 to both sides
and you get
y = 2x - 9/4
we can then identify the slope as 2
so B. 2 would be your answer
hope this helped
