Madison has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 12 ounces of lemonade and each large cup hold 22 ounces of lemonade. Madison used 1240 ounces of lemonade and sold 10 more large cups than small cups. Write a system of equations that could be used to determine the number of small cups sold and the number of large cups sold. Define the variables that you use to write the system.

The system of equations that can be used to determine the number of small cups sold and the number of large cups sold is:

12s + 22b = 1240

b - s = 10

Where:

s = number of small cups

b = number of big cups

The two equations are simultaneous equations. These equations have to solved jointly in order to determine the required values.

To learn more about simultaneous equations, please check: link

small cups=30

large cups=40

Step-by-step explanation:

let x be the number of small cups and y the number of large cups.

-Given that 10 more cups than small cups of lemonade were sold:

#Before the 10 more were sold, the number of x and y sold were equal>

The number of small cups sold was 30

#Since, the number of large cups was 10 more, y=x+10=30+10=40

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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