If you would like to know what was the percent decrease in price, you can calculate this using the following steps:
x% of $299.99 is $180.55
x% * 299.99 = 180.55
x/100 * 299.99 = 180.55
x = 180.55 * 100 / 299.99
x = 60.19%
100% - 60.19% = 39.81%
The correct result would be 39.81%.
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:
D
Step-by-step explanation:
Given y varies directly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y =
when x = 1 and z = 4 , then
= k × 1 × 4 = 4k ( divide both sides by 4 )
= k
y =
xz ← equation of variation
When x = 6 and z = 3 , then
y =
× 6 × 3 =
× 18 = 2 × 6 = 12
Answer:
If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.
Step-by-step explanation:
120- 50= 70 ($70 saved each month)
Month 1- $70 saved total
Month 2- $140 saved total
Month 3- $210 saved total
Month 4- $280 saved total
Month 5- $350 saved total
Month 6- $420 saved total
It takes 6 months to get 400 saved. We could also divide to get
5.714285, but it would takes 6 months before reaching the goal. :)