Answer:
400
Step-by-step explanation:
Percentage decrease = 20% × 500
New value = 500 - Percentage decrease
500 - (20% × 500) =
500 - 20% × 500 =
(1 - 20%) × 500 =
(100% - 20%) × 500 =
80% × 500 =
80 ÷ 100 × 500 =
80 × 500 ÷ 100 =
40,000 ÷ 100 =
400
simple first we find the miles per gallon
so 300/15=20 therefor he would only need a extra 3 gallons to go 360 miles so your answer is
B.18
Answer:
Step-by-step explanation:
x + 112 + 133+128+100+120= 720
x + 593 = 720
x = 127
Answer:
m=217 miles/31 days
Step-by-step explanation:
Carl has to run 217 miles in 31 days; to find the number of miles 
he needs to run per day, he should divide the number of miles he has to run (217 miles ) by the number to days he will run ( 31 days):
Carl has to run 7 miles per day. We can confirm this result by multiplying this by 31 days, and we should get 217 miles:
by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
![n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}](https://tex.z-dn.net/?f=n%5B%2Ftex%20%5Dis%20any%20integer.%5C%5CMeanwhile%2C%5C%5C%5Btex%5D10%5Csin%20x-3%3D0%5Cimplies%5Csin%20x%3D%5Cdfrac3%7B10%7D)
which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
