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lawyer [7]
3 years ago
5

The sum of two numbers is 31. The sum of the smaller and 3 times the larger is 85

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0
X+y=31 So, x=31-y
x+3y=85

31-y+3y=85
31+2y=85
2y=54
y=27
x+3×27=85
x+81=85
x=4
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3 0
3 years ago
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 7, 14, 21, 28, 35. Points are s
agasfer [191]

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1 ⇒ 3rd answer

Step-by-step explanation:

In A graph:

  • Points are shown on ordered pairs (0 , 0) , (1 , 7) , (2 , 14) , (3 , 21) and (4 , 28) are connected by a line
  • The label on the x-axis is Lemon-Lime Soda in cups
  • The label on the y-axis is Strawberry Juice in cups

We need to find the ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda

∵ The points are connected by line

∵ The x-axis represents the number of cups of Lemon-Lime Soda

∵ The y-axis represents the number of cups of Strawberry Juice

∴ The ratio of the the number of cups of strawberry juice to the

   number of cups of lemon-lime soda equal to the slope of the line

∵ The slope of the line m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- You can calculate the slope of a line from any two points lie on it

∵ Points (1 , 7) and (2 , 14) lie on the line

∵ x_{1} = 1 and x_{2} = 2

∵ y_{1} = 7 and y_{2} = 14

∴ m=\frac{14-7}{2-1}=\frac{7}{1}

∵ The ratio of the number of cups of strawberry juice to the number

  of cups of lemon-lime soda = m

∴ The ratio of the number of cups of strawberry juice to the number

  of cups of lemon-lime soda = 7 : 1

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

7 0
4 years ago
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