Answer:
68 weeks
Step-by-step explanation:
1 week costs $11.50.
so, how many such weekly each cycles fit into the price of new machines ?
if they wait to long (to many weeks) they spend in total more money than buying a new machine.
but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).
so the break even point is simply
782 / 11.5 = 68 weeks.
after 68 weeks it has cost them exactly the same amount of money, as if they had bought new machines right away at the beginning.
Answer:
8/15
Step-by-step explanation:
because there are 8 red marbles out of 15 marbles
Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15
So, x <-3
Hence, the correct choice is x > 3 or x < −3.
Answer:
x = 45.25 and 2x + 9.50 < 100
Step-by-step explanation:
Okay, so I dont know if you want am explanation but here I go
if for each game shipping is 4.75, you multiply by 2 to find the total there, hence 9.5.
and you dont want to go over $100, so the amount you spent has to be less then $100
and you're going to buy 2 games, x stands for the price.
2x + 9.50 < 100
2x < 90.5 (i just subtracted 9.5 on each side)
2/2x = 90.5/2
x = 45.25
Answer: $ 990
Step-by-step explanation:
Since, the total number players, n = 12,
The least amount got by one team, a= $ 220
Let there is a successive difference of d,
Thus, the given situation forms an AP,
In which sum of the AP, ![S_n= \frac{12}{2}[2\times 220 + (12-1)d]](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7B12%7D%7B2%7D%5B2%5Ctimes%20220%20%2B%20%2812-1%29d%5D)
But, According to the question,
⇒ ![\frac{12}{2}[2\times 220 + (12-1)d]=7260](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%7D%5B2%5Ctimes%20220%20%2B%20%2812-1%29d%5D%3D7260)
![6[440 + (11)d]=7260](https://tex.z-dn.net/?f=6%5B440%20%2B%20%2811%29d%5D%3D7260)
Thus, the successive difference, d = $ 70
⇒ The amount of first price,
