Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
Apply the distributive property:
-6x - 12
Answer:
1/5
Step-by-step explanation:
In order to find the answer, we need to isolate the "n."
Get 5 to the other side by dividing both sides by 5
(n-1/10)= 1/2 ÷(5)
Multiply the 2 and the 5 of the equation.
(n-1/10)= 1/10
Next, move the fraction on the left side, to the right.
n= 2/10
Reduce.
n= 1/5
You can use the formula for conditional probability as Puzzling did. However in this problem it is easier just to restrict yourself and enumerate the cases that are left.
<span>There are 4 jacks. One of them is a heart. So the probability is 1/4. </span>
<span>If you want to look at what the formula for conditional probability does, it adjusts your probability by restricting the "universe". </span>
<span>P(heart and jack)/P(jack) </span>
<span>= (1/52)/(4/52) = 1/4</span>
The equation is never true because you have to multiply 2 with all numbers in the parentheses. Therefore
2(5x +4) = 10x + 8.
Because 2 x 4 is not 6 but 8
