Answer:
7/12
Step-by-step explanation:
Probability = number of ways desired result can happen/total number of outcomes.
There are a total of 12 marbles, so the denominator is 12.
Since the only non-yellow-or-blue marble color is orange, that is the desired result. There are 7 orange marbles, so the numerator is 7.
7/12
Answer:
Triangular prism
Step-by-step explanation:
<h3>Answer: 32</h3>
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Work Shown:
Let
x = number of visits
y = total cost in dollars
The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18
We want the total y to be at most $50. Therefore 
. The highest y can get is 50.
Let's replace y with x+18 and isolate x
y is replaced with x+18
subtract 18 from both sides
This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.
Answer:
4+11a+8b
Step-by-step explanation:
1) 4+3a+2b+6b+5a+3a
2) 3a+3a+5a=11a. 2b+6b=8b
<h3>
Answer:</h3>
- running speed: 8 mph
- walking speed: 2 mph
<h3>
Step-by-step explanation:</h3>
Let w represent Lizette's walking speed. Then her running speed is w+6. The relationship between speed, time, and distance is ...
distance = speed × time
Lizette ran for 1.5 hours, then walked for 3 hours. Her total distance is ...
(w+6)·1.5 + w·3 = 18
4.5w + 9 = 18 . . . . . simplify
4.5w = 9 . . . . . . . . . subtract 9
w = 2 . . . . . . . . . . . .divide by 4.5
Lizette's walking speed is 2 mph; her running speed is 8 mph.
