A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation will correctly determine the
2 answers:
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Answer:
Total number of trials is 35.
Step-by-step explanation:
Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.
To find : How many trials are in the competition?
Solution :
Probability of my winning is 3 out of 7 trials
and probability of my friend's winning is
Let there be n numbers of trials.
Therefore, my score after n trials
and my friend's score after n trials
Now, the number of trials my friend won more than me is
We know, that my friend won 5 more trials than me so comparing the actual and given we get,
Therefore, total number of trials is 35.
We can also verify our answer by placing value of n,
After 35 trials I will win trials
and my friend will win trials.
Hence, my friend won 5 more trials than me.
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
Answer:
150 oz.
Step-by-step explanation:
There are already 150 ounces of alloy of nickel.
Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz
Now available is
Nickel Other metals
105 45
Let x oz of pure nickel is added.
Then new alloy will have 105+x oz nickel in total of 150+x oz.
Percentage pure =
Simplify to get
Hence answer is 150 oz should be added.