Answer:
B
Step-by-step explanation:
When interpreting a confidence level, we say that if we were to select many random samples of the same size from the same population and construct a 95% confidence interval using each sample, about 95% of the intervals would capture the true proportion of registered voters that plan vote for the incumbent president.
18. 0.625
19. -0.75
20. -4/10 = -0.4
$1.88 is our amount after the 380% is added!
$1.88 - 380%*x = x
Note, that when you are working with percents in a problem you need to convert the percent into a decimal value in order to properly work with it in an equation like the one above.
So, it will look like this:
$1.88 - 3.8x = x
Now onto explaining how I derived this equation in the first place, because it doesn't help you if you don't know how to do it yourself.
How a percent problem works is if you are taking some original price x, and increasing it by 380% you would take 380% of the item, and then adding it to the item. To take 380% of an item you would need to multiply the number by 380% (3.8). So, if you translate that into math it looks like this:
x + 380%*x = y
Y, in this case is $1.88. In other words it is the price AFTER you've added 380% to the cost. So I started to solve for x by subtracting 380%*x on both sides leaving us with this:
$1.88 - 3.8x = x
We need to solve the equation for x by adding 3.8x on both sides.
$1.88 = 3.8x + x
Combine like terms.
$1.88 = 4.8x
Divide both sides by 4.8.
$1.88/4.8 = x
So our original price is $1.88/4.8!
The question asks for the 380% * x part of the problem.
So we take our answer and multiply it by 3.8.
($1.88/4.8)*3.8 = $1.49 mark up!
Answer:
22
Step-by-step explanation:
The answer is 22. You solve the equation 3x+10=7x-6 like so
3x+10=7x-6
-3 = -3
10= 4x-6
+6 +6
16=4x
x=4
You then plug in the value of x to the equation for LM.
7x-6 becomes 7*4-6 which is 22.
