Answer:
(C) 4|5 -2x| > 68
Step-by-step explanation:
You can solve each of the inequalities to see if their solutions match the given numbers, or you can start with the given numbers and see what sort of inequality you end up with.
If you plot the given "solution" on a number line, you find that the numbers -6 and 11 are the same distance from x=2.5. That distance is 8.5 units. (One way to deterimine this is to average -6 and 11, then subtract that average from 11 to find the distance.
So, we can write an inequality describing values of x that are more than 8.5 units from 2.5:
|x -2.5| > 8.5
and it will have the solution x < -6 or x > 11.
Multiplying this by 2, it can become ...
|2x -5| > 17
Of course, since the absolute value function doesn't care whether its argument is positive or negative, we can also write this as ...
|5 -2x| > 17
This tells you right away which answer choice is appropriate. Further confirmation can be had by multiplying this by 4:
4|5 -2x| > 68 . . . . . . matches selection C
Answer:
all sides have different lengths
and the third angle measures 90⁰
Answer:3x^2
Step-by-step explanation:
On edge
26% of 750 packs of gum contained mint-flavored gum
Step-by-step explanation:
To solve for percentages you have to divide 195/750
To learn how to solve for decimals from fractions use this video:
yt.com/watch?v=guBVW5PiHLs (use the full link instead of yt)
195 divided by 750 is 0.26
To make a number into a fraction you have to move the decimal two spots to the right to make the number into 26.00 (26)
That means 195 out of 750 is 26%
Hello from MrBillDoesMath!
Answer:s:
For #18, see attachment, "Scatterplot_18", where the data is plotted. It looks like choice J -- no association-- is the correct answer.
For #14 it looks like you had some confusion but are on the right track. The formula for compound interest is Amount = P(1+r)^n, where P if the Principal (initial investment), r is the yearly rate, and "n" is the number of years invested. In your case,
A = 1000 ( 1 + .02)^3 => as 2% = 2/100 = .02; n = 3 as money
invested for three years
A = 1000 (1.061208) =
$1061.21
This is the same answer you got but is NOT one of the choices. Hmmm.....
Thank you,
MrB
