Answer:
32-3n
Step-by-step explanation:
The formula for the nth term of a sequence is ' a+(n-1)d ' where a is the first term and d is the difference.
Here, a is 35 and d is -3.
a+(n+1)d
35+(n+1)(-3)
35-3n-3
32-3n
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.
Answer:
x=130, x=-77.5, x=1/3
Step-by-step explanation:
1st equation:
1/5x + 24 = 50
1/5x = 26
x = 26(5)
x = 130
2nd equation:
0.4x + 18=-13
0.4x = -31
x=-77.5
3rd equation:
3x - 5/6 = 1/6
3x = 1
x=1/3
n=9
Step-by-step explanation:
6^10 = 60466176
6^-4 0.00077160493
60466176 x 0.00077160493 = 46655.9994998
, which is the numerator
6^-5 = 0.00012860082
6^2 = 36
0.00012860082 x 36 = 0.00462962952
46655.9994998 / 0.00462962952 = 10077696
6^9 = 10077696
Therefore, n=9
Answer:
14w
Step-by-step explanation:
I don't know how to explain it any simpler than just to give you the answer which is 14w.
There is a more mathematical way of getting the 14w, but I'm guessing you won't like it. Use the distributive property. Put brackets around the given expression
7w + 7w = (7w + 7w)
On each side of the plus sign there is a common factor and that common factor is w
w(7 + 7) Now add the two 7s together.
14w
You could say to me, why didn't you take out the 7 to start with. You could
7 ( w + w) but w and w add up to 2w
7*2w
14 w
