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3 years ago

Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16

Mathematics

1 answer:

taurus [48]3 years ago

6 0

Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

4*m + 4*4

Factor out 4

4(m+4)

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Determine the constant of Proportionality in the situation below

9966 [12]

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

in this case, 10 video games cost $145

the question's basically asking what you have to multiply 10 by to get 145

y= 145; x=10

k= y/x = 145/10=14.5

the constant of proportionality is 14.5

4 0

3 years ago

A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses whic

Galina-37 [17]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the big buses and y represent small buses. The large buses can carry 30 students and the small buses can carry 15 students. The total number of students are 450, this can be represented by the inequality:

30x + 15y ≤ 450

They are only 20 drivers, therefore only 20 buses can be used. It is represented by:

x + y ≤ 20

They are only 19 small buses and 18 large buses:

x ≤ 18

y ≤ 19

After plotting the graph, the minimum solution to the graph are at:

A (15,0), B(18,0), C(10, 10), D(18, 2).

The cost function is given as:

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.

F(x, y) = 225x + 100y

At point A:

F(x, y) = 225(15) + 100(0) = $3375

At point B:

F(x, y) = 225(18) + 100(0) = $4050

At point C:

F(x, y) = 225(10) + 100(10) = $3250

At point D:

F(x, y) = 225(18) + 100(2) = $4250

The minimum cost is at point C(10, 10) which is $3250

3 0

3 years ago

Aurora has been babysitting for 30 minutes, which is 20% of the total time she must babysit. What is the total amount of time in

atroni [7]

150 minutes i believe

3 0

3 years ago

The equation 201.50=f+6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to the

AveGali [126]

Answer:

f = 65

Setup cost = 65

Step-by-step explanation:

Given the equation : 201.50=f+6.50(21)

Solving for f:

201.50 = f + 136.50

201.50 - 136.50 = f

f = 65

The equation above is written in the form a slope intercept function where,, 6.50 is the gradient and X equals the number of shirts, The total cost of printing is 201.50

f is the intercept and represents the initial fee or setup cost. Hence, the setup. Cost = 65

5 0

3 years ago

Assume that the Poisson distribution applies and that the mean number of aircraft accidents is 9 per month. Find P(0), the prob

Ugo [173]

Answer: 0.0001

It is unlikely to have a month with no aircraft accidents .

Step-by-step explanation:

Given : Mean number of aircraft accidents = 9 per month

The Poisson distribution formula :-

$\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where $\lambda$ is the mean of the distribution.

If X = the number of aircraft accidents per month, then the probability that in a month, there will be no aircraft accidents will be :-

$\dfrac{e^{-9}(9)^0}{0!}=0.000123409804087\approx0.0001$

Hence, the probability that in a month, there will be no aircraft accidents = 0.0001

Since this is less than 0.5 , therefor it is unlikely to have a month with no aircraft accidents .

5 0

3 years ago