7(x - 3) + 3(4 - x) = -8
7x - 21 + 12 - 3x = -8
7x - 3x = -8 + 21 - 12
4x = 1
x = 1/4
Let X = number of minutes.
Plan A = 50 + 0.04X
Plan B = 60 + 0.02X
50 + 0.04X = 60 + 0.02X
Subtract 50 from each side:
0.04X = 10 + 0.02X
Subtract 0.02X from each side:
0.02X = 10
Divide both sides by 0.02
X = 10 / 0.02
X = 500
It will take 500 minutes.
Answer:
The number of expected people at the concert is 8,500 people
Step-by-step explanation:
In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.
We proceed as follows;
The probability that it will rain is 30% or 0:3
The probability that it will not rain would be 1 -0.3 = 0.7
Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.
Mathematically this is;
Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)
Let’s plug values;
Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people
Answer:
1 2/7
Step-by-step explanation:
4.5:3 1/2
45/10 ÷ 7/2
45/10 x 2/7
90/70=9/7
=1 2/7
