What is 2(x-4)+4(45x+6)
2 answers:
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Answer:
<h2>a = - 4.8</h2>Step-by-step explanation:
To find the value of a when b=6 we must first find the relationship between them.
The statement
a is inversely proportional to b is written as
where k is the constant of proportionality
When a = 7.2 , b = -4
So we have
k = 7.2 × - 4
k = - 28.8
So the formula for the variation is
When
b = 6
That's
We have the final answer as
<h3>a = - 4.8</h3>Hope this helps you
Answer:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
Suppose we have two events, A and B, that are independent. The probability of both happening is given by:
In this question:
Event A: Selecting a prime number.
Event B: Selecting a number less than or equal to 3
Probability of selecting a prime number:
Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So
Probability of selecting a number less than or equal to 3:
Three numbers(1,2,3) out of 10. So
Probability of both:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
<h2>Hello!</h2>
The answers are:
To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.
So,
Tet be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:
For the second car:
We know that the speed of the second car is the speed of the first car plus 14 mph, so:
Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:
If the cars are moving towards each other the relative speed will be:
Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:
Writing the equation:
So, the speed of the first car is equal to 41 mph.
Now, for the second car we have that:
We have that the speed of the second car is equal to 55 mph.
Hence, the answers are:
Have a nice day!