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gulaghasi [49]
2 years ago
7

The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to mak

e servings of apple soda: 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, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1
Mathematics
2 answers:
Misha Larkins [42]2 years ago
7 0
The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.

If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda). 

As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
-BARSIC- [3]2 years ago
4 0
(x) Lemon -Lime Soda     <span>0, 1,   2,   3,   4,   5
</span>(y) Apple Juice                  0, 6, 12, 18, 24, 30

<span>number of cups of apple juice   :    the number of cups of lemon-lime soda
          6                                          :            1
          ratio is 6:1</span>
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6 0
2 years ago
Read 2 more answers
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
1 year ago
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Answer:

n=3.5

Step-by-step explanation:

2²=4

14÷4=3.5

3.5×4=14

3.5×2²=14

7 0
2 years ago
Use the model to solve for x.
Vitek1552 [10]
Answer:No solution
Explanation: There is no solution because x was eliminated in the last step of solving for x. Since we were left with x not being available to equal three, it shows it’s a no solution problem. Hope this helped!

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