Ratio 1:2:3 means we have x, 2x and 3x as the three parts
x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7
Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21
Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer
If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3
As a check,
7+14+21 = 21+21 = 42
so it works out
Since the angle
100
° is in the second quadrant, the reference angle formula is A
r
=
180
°
−
A
c. A
r
=
180
°
−
100
°
The reference angle is A
r
=
80
°
.
80
°
no
i have no idea what to do
Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
Answer:
0.40951
Step-by-step explanation:
P(none in five years) = 1 - 0.1 = 0.9
P(at least one) = 1 - P(none in five years)
= 1 -
= 1 - 0.59049
= 0.40951
So the probability of a hurricane hit at least once in the next 5 years is 0.40951