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aliya0001 [1]
3 years ago
13

The graph below represents the price of sending video messages using the services of a phone company. What is the constant of pr

oportionality?
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The values on the y axis are 0, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240. Points are shown on ordered pairs 0, 0 and 2, 48 and 4, 96 and 6, 144 and 8, 192. These points are connected by a line. The label on the x axis is Video Messages Sent. The label on the y axis is Price in cents.

12
24
46
48
Mathematics
2 answers:
storchak [24]3 years ago
7 0
The constant of proportionality is the slope, which is found with the ratio y/x.
Let's take a point (x,y) and change it to y/x to get our constant, starting with (2,48). 48/2 = 24, so the constant is 24.
We can do the same thing with (4,96): 96/4 = 24.

Answer: 24
Makovka662 [10]3 years ago
5 0

Answer:24


Step-by-step explanation:


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Aisha wants to paint the four walls of her living room.
sergiy2304 [10]

The total amount Aisha would pay to paint her room is $54.

<h3>What is the cost of painting the rooms?</h3>

The first step is to determine the area of the walls. The walls have the shape of a rectangle. Thus, the formula for the area of a rectangle would be used to determine the area of the wall.

Area of the three walls without a door : 3 x (length x width)

3 x (2.4 x 5.2) = 37.44 m²

Area of the fourth wall with a door : area of the wall - area of the door

(2.4 x 5.2) - (2 x 0.8) = 10.88m²

Total area of the walls : area of the three walls + area of the wall with the door

10.88m² + 37.44 m² = 48.32 m²

The next step is to determine the number of tins that would be needed:

48.32 /12 = 4.03

5 tins would needed

Cost of the 5 tins: (4 x 12) + (0.5 x 12) = $54

To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

#SPJ1

3 0
2 years ago
A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?
GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)

480=\left(2x+1\right)\left(6x-3\right)

480=12x^2-3

Subtract 480 from both sides

12x^2-3-480=480-480

12x^2-483=0

3\left(4x^2-161\right)=0

3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0

solving

2x+\sqrt{161}=0

2x=-\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{-\sqrt{161}}{2}

x=-\frac{\sqrt{161}}{2}

also solving

2x-\sqrt{161}=0

2x=\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{\sqrt{161}}{2}

x=\frac{\sqrt{161}}{2}

Therefore, the values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

3 0
3 years ago
What are the slope and the y-intercept of the linear function that is represented by the graph? The slope is 2/3. and the y-inte
olga_2 [115]

Answer:

The equation of a line with a slope of m and a y-intercept of (0, b) is y = mx + b. To graph a line that is written in slope-intercept form: Plot the y-intercept on the coordinate plane. Use the slope to find another point on the line.

Step-by-step explanation:

4 0
3 years ago
What was the approximate increase in diameter of chest circumference during a quiet inspiration?
alexgriva [62]
Forced inspiration is the procedure in which you compel the muscles to help the essential muscle this can be, in a ton of cases, profound relaxing. The measure of increment amid constrained motivation relies on upon the general size of the trunk. In any case, the normal is around six to seven centimeters.
6 0
4 years ago
All three points displayed are on the line.
Archy [21]
The slope is 6/3 or 2 because you are rising 6 and run is 3, you can simplify and 6/3 to 2. and the equation is y=2x-3
6 0
3 years ago
Read 2 more answers
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