Step-by-step explanation:
Let's translate the verbal language to algebraic language.
She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.
She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t
Total miles of her rides per week: 62.5 miles + 2.5t
She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85
Then, the situation is represented by this inequality:
2.5t + 62.5 ≥ 85
You can develop it and get to several equivalent inequalities, for example:
2.5t ≥ 85 - 62.5
2.5t ≥ 22.5
t ≥ 9
Any of the four forms are equivalent and a valid answer.
There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.
After putting back the first marble, the probability of drawing another red is again 5/11.
So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.
I guess B you can move the numbers around but it will still give you the same solution or you could change the sighns
Answer: remember to attach the drawing!
Step-by-step explanation:
The answer is: " 20 items " .
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60% of x = 12. Solve for x.
60% = 60/100 = 6/10 = 3/5 = 0.6 .
(3/5)x = 12 ;
Multiply each side of the equation by "5" :
5* (3/5)x = 12 * 5 ;
3x = 60 ;
Divide each side of the equation by "3" ;
3x/ 3 = 60 / 3 ;
to get:
x = 20.
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The answer is: " 20 items " .
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