Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
The unit rate is 2 pens/1 notebook
Answer:
1 : 20 20 students for every 1 teacher
Step-by-step explanation:
divide both sides by 12
Given:
- The table of typical hours worked by employees at a company
- salaried employee makes $78,000 per year
- hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.
To Find: Which payment option to recommend to a new employee.
Solution: I would recommend being a salaried employee.
Explanation:
We begin by calculating the typical number of hours worked per week.
Adding up the hours from the table, we have
.
The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.
So, the payment for 47 hours of work per week will be
dollars.
As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be
. That is, an hourly employee would earn $68276.
On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.
Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.
<h3>Answer: 32%</h3>
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Explanation:
There are 10 cards total. Of which, 8 are not blue. You can think of it as "there are 2 blue, so 10-2 = 8 are not blue", or you can count out the non-blue cards. The first option is faster in my opinion.
The probability of not getting blue is 8/10 = 0.80
After picking a first card and then putting it back, we will still have 10 cards. There are 4 pink cards out of this total, so 4/10 = 0.40 is the probability of getting a pink card.
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Multiply the two values we found earlier
0.80 * 0.40 = 0.32 = 32/100 = 32%