Answer:
0.4655172413793
Step-by-step explanation:
45/87 ×-9/10 i
405÷870
0.4655172413793
Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
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Answer:
Step-by-step explanation:
<u>Total number of integers from 300 through 780, inclusive:</u>
<u>Number of integers with at least one of digit 1:</u>
- Hundreds - 0,
- Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
- Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
- So in total 50 + 43 = 93
<u>The probability is:</u>
- P = favorable outcomes/total outcomes = 93/481
Answer:
Reason given in step 2. is incorrect. It should read; "Distributive Property."
Step-by-step explanation:
The reason given to go from :
2 (3x +4) = 56 to 6x + 8 = 56
is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.
