Answer:
(-3,3)
Step-by-step explanation:
Using elimination:
Multiply the first equation by 8 and the second by 5 which equals
40x+56y=48
-40-60y=-60
Now you add them together
40x+(-40x)=0 so that crosses out
56y+(-60y)= -4y
48+(-60)=-12
You now have -4y=-12
Divide by -4
y=3
Now plug in y to any of the equations
5x+7(3)=6
5x+21=6
Subtract 21 from both sides
5x=-15
Divide by 5
x=-3
Your final solution is (-3,3)
Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
There is no answer to this question.
Answer:
Don't spin the barrel.
Step-by-step explanation:
Each time you spin the barrel, the probability A of finding a bullet, having two bullets in six chambers is:
For you to get shot in the second try but not the first, the barrel spin would have to stop precisely at one specific chamber: the one right before the bullets, so that probability would be:
which means that this event is half as likely as finding a bullet every time the barrel is spun. Your chances are better if you pull the trigger for the second time without spinning the barrel.
"return on investment" is the best measure of the efficiency of an investment, but it should be noted that there are other indicators of how well an investment is doing.
