Your answer is A) (1,1) is the solution to both lines K and J
That's because the solution to a system of equations has to be the solution to both of the lines. Also, both of the lines intersect at the point (1,1).
1 + 54 = 55
2 + 53 = 55
3 + 52 = 55
4 + 51 = 55
5 + 50 = 55
6 + 49 = 55
7 + 48 = 55
8 + 47 = 55
9 + 46 = 55
10 + 45 = 55
and so on...
I hope that helps. :)
Answer: The carpenter will need 84 square inches of wood.
In this problem we are looking for the surface area of the jewelry box. This box has 5 faces. The two triangles at each end and the 3 rectangle pieces between them.
The sides of the triangles are 3, 4, 5 which always forms a right triangle with legs of 3 and 4. Use the formula for the area of a triangle, we have 3 x 4 / 2 = 6. The area of each triangle is 6 square inches.
Now, the three sides, each one has a height of 6.
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30
If we add all the sides together, we get an area of 84 square inches.
6 + 6 + 18 + 24 + 30 = 84
Answer:
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Total number of outcomes is 16, count of all outcomes.
Number of outcomes with 3 or more tiles is 5:
- HTTT, THTT, TTHT, TTTH, TTTT
The probability is:
- P = favorable outcomes / total outcomes
- P(at least 3 tails) = 5/16 = 0.3125
Correct choice is D.