<span>12x+2y=86 -
6x+2y=56
-------------------
6x = 30 => x = 30 : 6 = 5
2y = 56 - 30 => 2y = 26 => y = 13</span>
The distance formula is sqrt((x1-x2)^2 + (y1-y2)^2), therefore (3-(-6))^2 = 9^2 and (5 -(-6))^2 = 11^2 so 121 + 81 = sqrt(202), this converted to decimal is ~14.21, so D.
<h3>
Answer: 5/162</h3>
===================================================
Work Shown:
A = probability of landing on an odd number
A = 5/9 because there are 5 odd numbers out of 9 total
B = probability of getting heads
B = 1/2
C = landing on 3 on the spinner
C = 1/9
Multiply the values of A,B,C
A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162
Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%
Answer: Explained in the step-by-step
Step-by-step explanation:
We want to isolate x, and remember, what we do to one side we do to the other:
(x+3) * 3 2/5 = 15 3/10
(x+3) * 3 2/5 divided by 3 2/5 = 15 3/10 divided by 3 2/5
x + 3 = 153/10 * 5/17
x + 3 = 765/170
x + 3 = 153/34
x + 3 = 4.5
x + 3 - 3 = 4.5 - 3
x = 1.5
Check:
(1.5+3) * 3 2/5 = 15 3/10
4.5 * 3 2/5 = 15 3/10
(3 2/5 = 3.4 and 15 3/10 = 15.3)
4.5 * 3.4 = 15.3
15.3 = 15.3
