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Vlad1618 [11]
3 years ago
11

Hunter is playing a video game where each round lasts ¾ of an hour. He has scheduled 3 hours to play video games. How many round

s of the game will he be able to play?
Mathematics
1 answer:
NemiM [27]3 years ago
3 0

Answer:

4

45×4=180

this needs to be 20 characters long

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write the equation in slope intercept form for a line that will pass through (0,3) and have a slope of (-8,15)
egoroff_w [7]

The equation of line with the slope m in the slope intercept form is :

y = mx + b

Slope can express as :

\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}

Substitute the value :

(x_1,y_1)=(0,3),(x_2,y_2)=(-8,15)

\begin{gathered} \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ Sl\text{ope=}\frac{15-3}{-8-0} \\ \text{ slope=}\frac{12}{-8} \\ \text{slope}=\frac{3}{-2} \end{gathered}

Substitute the value of slope in the equation of line:

\begin{gathered} y-3=\frac{3}{-2}(x-0) \\ y-3\text{ =-}\frac{3}{2}x \\ y=-\frac{3}{2}x+3 \end{gathered}

Equation of line in slope intercept form is :

y = -3/2x + 3

Slope = -3/2

Answer : y = -3/2x + 3

Slope = -3/2

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The area of a square plot is 1600m². the side of the plot is ​
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Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

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Here, k is called the PROPORTIONALITY CONSTANT.

⇒x \propto y \implies k = \frac{x}{y}  

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a.  $18.36 for 3 pizzas [box]    

Here, k = \frac{x}{y} = \frac{18.36}{3}  = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, k = \frac{x}{y} = \frac{4.17}{3}  = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, k = \frac{x}{y} = \frac{16.48}{4}  = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  k = \frac{x}{y} = \frac{24}{2}  = 12

So, the proportionality constant is 12.

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