Answer:
17
Step-by-step explanation:
Let d be dimes
q represent quarters
d = q + 10
10d + 25q = 345 cents
Substitute for "d" and solve for "q";
10(q+10) + 25q = 345
35q + 100 = 345
35q = 245
q = 7
Since d = q+10, d = 17
Answer:supplementary
Step-by-step explanation:By the angles shown
Number of boys in the gym class = 12
Number of girls in the gym class = 10
then
Ratio of boys to ratio of girls = 12:10
= 6:5
Now
Number of boys joining the gym class later = 6
So after the new boys join the number of boys in the gym class becomes = 18
The ratio of boys to girls have to remain the same
Let us assume that the number of girls that need to join the gym class = x
Then
6/5 = 18/(x + 10)
6(x + 10) = 18 * 5
6x + 60 = 90
6x = 90 - 60
6x = 30
x = 30/6
= 5
So the number of girls that need to join the gym class to keep the ratio same is 5. I hope the procedure is clear enough for you to understand.
D) starting amount in his savings account.
in the linear equation the y intercept is the starting point when x is zero, that means that at the starting balance he had 1000 in the bank.
Answer:
0.109
Step-by-step explanation:
Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:
8! / (6! x 2!) - 28
So, the probability is:
28 / 2^8 or 28/256
As a decimal, this is: 0.109375
And rounded to the nearest thousandth it's 0.109
