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maksim [4K]
3 years ago
15

9. The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversel

y
proportional to the number people n working. Twelve people can assemble the set in 5 hours.
Write an equation to represent the situation.
Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

The situation that represents this situation is:

t = \frac{60}{n}

Step-by-step explanation:

The amount of time t needed to assemble the set is inversely  proportional to the number people n working.

This means that:

t = \frac{k}{n}

In which k is the constant of proportionality.

Twelve people can assemble the set in 5 hours.

This means that for n = 12, t = 5. We use this to find k.

t = \frac{k}{n}

5 = \frac{k}{12}

k = 12*5 = 60

Write an equation to represent the situation.

t = \frac{60}{n}

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The equation F=9/5C+32 relates temperature measured in degrees Celsius, C, to degrees Fahrenheit, F. Determine wether there is a
Rama09 [41]

Answer: yes they have a proportional relationship

Step-by-step explanation:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step one : let us test say c=1

F=9/5*1+32

F=9/5+32

F=1.8+32

F=33.8

Say c=2

F=9/5*2+32

F=9/10+32

F=0.9+32

F=32.9

Observe that as c increases

F reduces Hence they have a proportional relationship

-<em><u>samuelonum1</u></em>-

Not my answer/ please give brainlist

4 0
3 years ago
Solve for M MUST SHOW WORK!!!<br> 2 = m/2 - 7<br><br> M=???
elena-s [515]

Answer:

2 =  \frac{m}{2}  - 7 \\  \frac{m}{2}  = 9 \\ m = 2 \times 9 \\  \boxed{m = 18}

<h3><u>m=18</u> is the right answer.</h3>
7 0
2 years ago
lunch period a 26 out of 52 ate turkey sandwiches. lunch period b 21 out of 49 ate turkey sandwiches. which period had a greater
Gwar [14]
26/52 because reducing like terms gives us half compared to 21/49 being way less than half based on adding the numerators of these 2 fractions.
4 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST AND 80 POINTS
shepuryov [24]

Answer:

check attached image :)

Step-by-step explanation:

5 0
3 years ago
Can you explain how to do this
julia-pushkina [17]
Because I see a graph in the picture, I am assuming you need to graph the equations. The two equations are in slope-intercept form. They are in the form
y = mx + b

Where m is the slope and b is the y-intercept. That is why it is called the slope-intercept form.

If you want to graph a slope-intercept form equation, first plug in a value for x then compute it to get the y-coordinate.

First, let's get some points with the equation y = 4x + 3

We will plug in three values for x. 0, 1, and 2.

When x = 0

y = 4(0) + 3
y = 3

When x = 1

y = 4(1) + 3
y = 7

When x = 2

y = 4(2) + 3
y = 11

Now we have the points (0, 3), (1, 7), and (2, 11)

These points are called ordered pairs. Where the first number is the x-coordinate and the second number is the y-coordinate.

The ordered pairs tell you how many times you move your point away from the origin. The origin is (0, 0).

The first number of an ordered pair tells you how many times to move in the x direction and the second number how many times in the y direction.

Now graph the second equation. y = -x - 2

Just plug in some values for x.

I picked 0, 1, and 2.

When x = 0

y = 0 - 2
y = -2

When x = 1

y = -1 - 2
y = -3

When x = 2

y = -2 - 2
y = -4

Now we have the points (0, -2), (1, -3), and (2, -4)
Now plot those points and draw a line through them.

If you need to find the intersection of the equations y = 4x + 3 and y = -x - 2 you need to find where they intersect. Or in other words, share a common point. 

After playing around with the numbers, I got the intersection point for the both of the equations.

It is the ordered pair (-1, -1). This the solution to both of the equations. If you plug in the ordered pairs into both of the equations, they will show it belongs to their graphs.


Plug in the values for y = 4x + 3

-1 = 4(-1) + 3
-1 = -4 + 3
-1 = -1

Plug in the values for y = -x - 2

-1 = -(-1) - 2
-1 = 1 - 2
-1 = -1

So, this ordered pair is on both equations!
7 0
3 years ago
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