Answer:
B. 61
Step-by-step explanation:
7, 10, 13, 16...
ok so were starting with 7 and adding 3 every time
im going to do 3 times 19 like as if we started with 3 then im going to add 4
3 x 19 = 57
57 + 4 = 61
the 19th term is 61
20C0 - 20C1 + 20C2 - 20C3 + . . . + 20C10 = 1 - 20 + 190 - 1,140 + 4,845 - 15,504 + 38,760 - 77,520 + 125,970 - 167,960 + 184,756 = 92,378
Answer:
16
Step-by-step explanation:
since 4/5 have a pet, you would divide by 5.
30÷5=6
but since only 4 have a pet, you would multiply that by 4 to get 4/5
6×4=24
24 students have pets
now you would divide by 3, as 2/3 have a dog
24÷3=8
but only 2/3 have dog, so you would multiply by 2
8×2=16
I'm sure there is a simpler way but this is how I would do it.
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and
Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
The answer is 2/5 simplified to the max.
To show my work here.
<span>1. 2×<span><span>1/3</span><span></span></span>×<span><span>1/2</span><span></span></span>×<span><span>6/5
2. 2 x 1 x 1 x 6 over 3 x 2 x 5
3. simplify 12 over 3 x 2 x 5
4. simplify again 12/30
5. and once again simplify LOL 2/5 is the last answer.</span><span></span></span></span>
