5x+6=8x-15
->x=7
m=180-5x-6-8x+15=98
Answer:
7 Bagels and 3 Large Coffee
Step-by-step explanation:
Represent Large Coffee with L and Bagel with B.
We have that:
---- Amount spent
and
---- Quantity
Required
Determine the value of L and B
Substitute L + 4 for B in the first equation


Open Bracket


Collect Like Terms


Solve for L


Recall that



Some price

was increased by 60% to get $65.
So we get

⇒

⇒

which rounds to $40.63 as the retail price.
Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:
- 3 yellow sectors
- 3 red sectors
- 4 green sectors
- 1 blue sector
Obviously, this implies that there are 11 sectors in total.
So, the spinner will land on a certain color with probability

Use this formula to deduce the probability of green.
Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.
Answer:
12
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2+ b^2=c^2
In our case, we know b, which is 5 and c which is 13.
If we plug that into the equation, we get a^2+ 5^2 = 13^2
Next, we simplify the equation. a^2 + 25 = 169
Then we subtract 25 from 169. 169 - 25 = 144.
Lastly, we do the square root of 144 and we get 12 which is the missing side.