All the angles added up = 360°
46 + 4x - 2 + 9x + 6 + 8x - 5 = 360
21x + 45 = 360
21x = 315
x = 15
Let me know if you have questions.
Answer:
1203.6 ---- the six is recurring ( .666666...)
Step-by-step explanation:
volume of hemisphere= 
x 3.14 x r^3
volume of cylinder= 3.14 x r^3 x h
1. Volume of hemisphere= 2/3 x 3.14 x 5^3 = 261.6 recurring
2. volume of cylinder = 3.14 x 5^2 x12 = 942
3. add the two together -----------> 1203.6
2.718 ≈e that is the answer to your question.
First you want to add all of those together.
12 + 4 + 6 + 2 = 24
So there are 24 miles in total.
Next, it says she biked 12 miles so you make a fraction.
12 / 24 which can be reduced to 1/2.
She spent one half of the total distance biking.
Hope this helps!
9514 1404 393
Answer:
- New York style: $14
- Chocolate Marble: $16
Step-by-step explanation:
We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...
11n +7c = 266 . . . . . . . Rob's sale
4n +14c = 280 . . . . . . Amy's sale
The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...
(11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)
9n = 126 . . . . . . simplify
n = 14 . . . . . . . . divide by 9
Filling this into the first equation, we have ...
11(14) +7c = 266
7c = 112 . . . . . . . . subtract 154
c = 16 . . . . . . . divide by 7
One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.
