A car factory produces 100 cars in a day. If c is the total number of cars produced in d days, which equation represents the number of cars as a function of the number of days?
Answers
Answer:
The equation that represents the number of cars as a function of the number of days will be:
Step-by-step explanation:
The factory produces 100 cars in a day.
For getting the total number of cars, we need to multiply 100 with the total number of days.
So, the total number of cars produced in days
Given that, the total number of cars produced in days is
.
So, the equation that represents the number of cars as a function of the number of days will be:
c is the total, d is the factor
c is dependent variable, d independant
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Answers
Time = Distance / speed
Since river flows downstream, speed of boat down stream = Speed of boat + speed of river = (15 + x).
Since river flows downstream, speed of boat upstream = Speed of boat - speed of river = (15 - x).
Time Upstream - Time Downstream = 75 minutes
Time Upstream = 45 / (15 - x)
Time Downstream = 45 / (15 + x)
75 minutes = 75/60 = 5/4 hours
Time Upstream - Time Downstream = 75 minutes = 5/4 hours
45 / (15 - x) - 45 / (15 + x) = 5/4 Divide both sides by 45
1 / (15 - x) - 1 / (15 + x) = (5/4)*(1/45)
1 / (15 - x) - 1 / (15 + x) = 1/36
((15 + x) - (15 -x)) / (15-x)(15+x) = 1/36
(15 +x - 15 +x) / (15-x)(15+x) = 1/36
2x / (15-x)(15+x) = 1/36
(15-x)(15+x) = 2x*36
(15-x)(15+x) = 72x
225 - x² = 72x
0 = x² + 72x -225
x² + 72x -225 = 0 This is a quadratic function, use a calculator that can solve the function, by inputting the function.
x = 3, or -75. Since we are solving for speed, we can not have negative values.
x = 3 is the only valid solution.
Speed of the river = 3 km/hr downstream.
Copyright.
0.063748
0.02275
0.095424
Answers
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
The probability that a conversation lasts longer than 3 minutes is 0.02275.
How to Calculate the Probability
Given:
- Mean= 2 minutes
- Standard deviation= 0.5 minutes
We would use x to denote the random variable.
Next to find the probability that a conversation lasts longer than 3 minutes is:
P(x > 3) = 1 - P(x < 3)
1 - P(z < (3 - 2)/0.5)
= 1 - P(z < 2)
= 1 - 0.97725
= 0.02275
Read more about probability here:
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Answers
a(b+c)=ab+ac
1/3(21m+27=21m/3+27/3=7m+9
Answers
Answers
Answer:
Step-by-step explanation:
In order to simplify, I want to see if there is anything we can factor out.
[factor out x in numerator and factor out 2 in denominator]
[notice that there is (x-5) in numerator and denominator, these divide to equal 1]
Therefore the remaining expression is .
Final answer:
The question involves simplifying a rational expression. This is done by factoring the numerator and denominator, then cancelling out common factors. The simplified form of (x²-5x)/(2x-10) is x/2.
Explanation:
The process of simplifying rational expression such as (x²-5x)/(2x-10) involves factoring both the numerator and the denominator and cancelling out any common factors. Therefore, in this case:
- Factor the numerator: x² - 5x = x(x - 5)
- Factor the denominator: 2x - 10 = 2(x - 5)
- Next, as both expressions have a common factor of (x - 5), cancel these out.
So, the simplified expression is x/2.
Learn more about Simplifying Rational Expressions
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Answers
Step-by-step explanation: