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ira [324]
3 years ago
11

Josh can paint a whole room in m hours while Kevin can paint a whole room in n hours. How many parts of the room can they paint

in one hour if both of them worked together? Express in terms of m and n.​
Mathematics
1 answer:
Leona [35]3 years ago
7 0
<h3>Answer: (m+n)/(mn)</h3>

Work Shown:

Josh:

1 room = m hours

1/m room = 1 hour

Kevin:

1 room = n hours

1/n room = 1 hour

We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions

1/m + 1/n = n/(mn) + m/(mn) = (n+m)/(mn) = (m+n)/(mn)

The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.

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rewona [7]
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3 years ago
Which of the following statements best describes the graph of x + y = 4?
joja [24]

Answer: The correct option is, It is a line joining the points whose x and y coordinates add up to 4.

Step-by-step explanation:

The given equation is, x+y=4

when we take x = 1 then

1+y=4

y=3

when we take x = 2 then

2+y=4

y=2

From this we conclude that the sum of 'x' and 'y' coordinates is always equal to 4.

Hence, the correct answer is, It is a line joining the points whose x and y coordinates add up to 4.

5 0
3 years ago
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that
solniwko [45]

The probability that a student who does not have a dog has a cat is 7/10.

<h3>What is the probability?</h3>

Probability determines the chances that a random event would happen. The odds that the random event would happen lies between 0 and 1.

The probability that a student who does not have a dog has a cat = number of students that do not have a dog but has a cat / total number of students that do not own a dog

=  7/10.

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

6 0
2 years ago
What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
3 years ago
Which statement is true?
Sloan [31]
I believe the last one about right triangles. That’s why Pythagorean Theorem works.
3 0
3 years ago
Read 2 more answers
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