Answer:
50 nickels, 20 quarters.
Step-by-step explanation:
System of equations (q = # of quarters, n = # of nickels):
<em>q + n = 70, 0.25q + 0.05n = 7.50</em>
the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.
So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.
Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.
Answer: Domain: x=-2. Range: -2<=y<1
Step-by-step explanation:
Domain: The line is only on one x-point and that is x=-2.
Range: The line is ranging form -2 to 1. However, y=1 is not included on the line but y=-2 is. Hence, the range is notated as -2<=y<1.
Using the mean concept, it is found that the value of the number that was removed was of 4.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
The mean of five numbers is 8, hence, the sum of the numbers is given by:
S = 5 x 8 = 40.
If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:
S = 4 x 9 = 36.
The difference is:
40 - 36 = 4.
Hence, the value of the number that was removed was of 4.
More can be learned about the mean concept at brainly.com/question/25122507
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No, 1/2=0.5
This is because half of one is 0.5, since 0.5 x 2 = 1.
0.1 written as a fraction would be 1/10, since 0.1 x 10 = 1.
0.2 written as a fraction would be 1/5, since 0.2 x 5 = 2