Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = 
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
We need to separate his total earnings out into the different categories:
Category 1 (2%): 30,000
Category 2 (3%): 60,000-30,000 = 30,000
Category 3 (5%): 92,000-60,000 = 32,000
To calculate a percentage we multiply by that percentage divided by 100.
Now we can work out the commissions:
1) 30,000*0.02 = $600
2) 30,000*0.03 = $900
3) 32,000*0.05 = $1600
Adding these together, we get $3100
15 cherry, 17 grape, and 14 orange....total of 46 juice boxes
P(cherry) = 15/46
without replacing
P(grape) = 17/45 (I put it over 45 because since the 1st was not replaced, we have 1 less juice box)
P (both events happening) = 15/46 * 17/45 = 17/138 <==
Then the price of hot dog buns would go up, I assume.
If you were the owner of the leading hot dog bun company, and hot dog prices went down, then more people would need to buy hot dog buns. So if you wanted to profit from that you'd raise your prices a little bit to make more money.
