4x + 8 = 2x + 6
-2x ----- -2x
2x + 8 = 6
----- -8 ---8
2x = -2
÷-2 ÷-2
x = -1
Hope this helps!
Answer:
0.00069104 approximately.
Step-by-step explanation:
You must first calculate the probability of not taking a ball with the letter B.
It would be the sum of the probabilities of taking I, N, G and O.
The probability of getting the letter I would be 15/75, that is 1/5. The same would be for the letter N, G and O. Since the 4 probabilities are equal.
Therefore it would remain (1/5) * 4 = 4/5.
Then the probability of not drawing a letter B would be 4/5.
However, in the case that it does not go out for 26 balls and that the ball that was taken out is not taken into account. It would be the multiplication of all events, that is:
(60/75) * (59/74) * (58/73) * (57/72) * ... * (35/50)
The result would be 0.00069104 approximately.
175 - 10 = 165 ÷ 5 = 33
Itll take her 34 months to save $175
Answer:
The end of the stencil is located at (8, -1)
Step-by-step explanation:
The given parameters are;
Location of the beginning of the left edge of the stencil = (-1, 2)
Location of the detail = (2, 1)
Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2
Distance from beginning to detail = √((-1 - 2)² + (2 - 1)²) = √10
Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;
√10:Length of stencil side = 1:2
Distance from detail to stencil end = 2×√10
Which gives;
Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°
x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8
y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1
The coordinates of the end of the stencil = (8, -1)
Answer:
28 pounds
Step-by-step explanation:
We have a total of 5 boxes, now we know that each box weighs 9 pounds, therefore:
Total weight = 5 * 9 = 45 pounds
Which means there are 45 pounds in total.
We are told that the limit is exceeded by 17 pounds. To find the limit weight, it is necessary to subtract the total weight and the excess:
45-17 = 28 pounds
Therefore, the maximum weight allowed per shipment is 28 pounds.
