Answer:
x = 46
Step-by-step explanation:
First, we know that -31/3 + x/6 = -8/3. Now, add 31/3 to both sides to get 23/3 = x/6. So multiply by 6 to get 46.
Hope this helps!
Answer:
Step-by-step explanation:
B
Answer:
1083 seats
Step-by-step explanation:
this is an arithmetic sequence :
an = an-1 + c
in our case
a1 = 10 (10 seats in the first row)
a2 = a1 + 1 = 10 + 1 = 11
a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12
an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n
a38 = a1 + 37 = 10 + 37 = 47 seats.
altogether this means the sum of the arithmetic sequence of a1 to a38.
the general sum of an arithmetic sequence from a1 to an is
n×(a1 + an)/2
in our case
38×(10 + 47)/2 = 19×57 = 1083 seats
Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
We know
In a function
x represents the input and y represents output
So
x is time
So
f(30) represents distance traveled in 30mins
