Let the number be n. Then 2(n-10) = 6n + 14.
Multiplying out the left side, 2n - 20 = 6n + 14. Thus, -34=4n, and n = -17/2.
Step-by-step explanation:
40 days = 15 boys
1 day = 15/40 = 3/8
therefore,
30 days = 3/8 × 30
= 11.1/4 boys or 11.25boys
Answer: it is 1/6
You can solve by saying, 1 out of 6 in each tray is red, so my fraction should be 1/6.
It doesn't matter the amount of trays because the pattern is always the same.
But if you want to check it out you can do it in this way.
You know there is 1 red color per tray, if there are 20 then you'd have 20 of them, in each tray there are 6 colors so the total is 120.
Now you solve it if there are 20 red colors out of 120 them the answer is 20/120, thus you get 1/6
Step-by-step explanation:
△ABC right angle C, leg BC > leg AC. So angle A > angle B.
a=BC, b=AC, c=AB
a > b
sin A= cos B = a/c
sin B = cos A = b/c
a = c sin A = c cos B
b = c sin B = c cos A
a > b
c sin A > c sin B
sin A > sin B
c cos B > c cos A
cos B > cos A
Answer: B, E
Since y=-1 when x=0 and we can write the equation (we'll turn it into an inequality later) as y=mx-1 from y=mx+b by plugging (0,1) in. Next, y equals 2 when x=1, so we plug those in to get 2=m*1-1. Adding 1 to both sides, we get 3=m, making our equation y=3x-1 (since y and x stay variables). Lastly, we turn it into an inequality, It seems to be inclusive to the line, so it's either
3x-1≤y or 3x-1≥y. Finding a random point in the inequality (4, 1), we plug it in to get 12-1=11, which is clearly larger than 1, so we get 3x-1≥y.