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nalin [4]
3 years ago
6

Harry made fruit punch using 2 parts orange juice to 2 parts soda water. The amount of soda water that Harry used is directly pr

oportional to the amount of orange juice he used. How many cups of orange juice should Harry use with 18 cups of soda water?
Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

y=kx

soda water=k orange juice

2=2k

k=1

18=1 × orange juice

orange juice=18/1

orange juice=18 cups

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10.) state whether the given side lengths can form a triangle
Verizon [17]

Answer:

A. 5,8,12, side lengths can form a triangle.

B. 20, 18, 2, side lengths can not form a triangle.

C. 15, 26 , 9, side lengths can not form a triangle.

D. 4.75, 12.25, 16.25, side lengths can form a triangle.

Step-by-step explanation:

We are given three sides in options A, B , C and D.

We need to check if the given sides would form a triangle or not.

Note: Sum of two sides is always greater than third sides in a triangle.

So, we need to check the sum of two sides of given sides length to check if sum is greater than third side length.

A. 5,8,12.

5+8 is greater than 12.

5+12 is greater than 8.

12+8 is greater than 5.

Therefore A. 5,8,12, side lengths can form a triangle.

B. 20, 18, 2

18+2 is not greater than 20.

Therefore B. 20, 18, 2, side lengths can not form a triangle.

C. 15, 26 , 9

15+9 is less than 26.

Therefore C. 15, 26 , 9, side lengths can not form a triangle.

D. 4.75, 12.25, 16.25.

4.75+12.25 is greater than 16.25.

4.75+16.25 is greater than 12.25.

12.25+16.25 is greater than 4.75.

Therefore D. 4.75, 12.25, 16.25, side lengths can form a triangle.


3 0
3 years ago
using the 28/36 ratio, determine the maximum allowable recurring debt for someone with an annual income of $86,250.
murzikaleks [220]
Given:
28/36 ratio
annual income: 86,250

28+36 = 64

28/64 * 86,250 = 0.4375 * 86,250 = 37,734.375
36/64 * 86,250 = 0.5625 * 86,250 = 48,515.625

28/36 ⇒ 37,734.375/48,515.625
5 0
3 years ago
HOW DID THEY GET THIS ANSWERR!!! PLZZ HELPPP EXAM SOON
VARVARA [1.3K]

Answer:

Yes . You are correct.

Step-by-step explanation:

(x + 5)^2 + (y + 10)^2 = 81.

3 0
3 years ago
HELPPPPPPPP!!!!!!!!!!
Novosadov [1.4K]

Step-by-step explanation:

98 = 188t - 16t^2

-16t^2 + 188t = 98

-16t^2 + 188t - 98 = 0

8t^2 - 94t + 49 = 0

Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions

t = [(47 - root 1817) / 8]≈ 0.55

and

t = [(47 + root 1817) / 8] ≈ 11.20

8 0
3 years ago
Please help me ?????????
scZoUnD [109]

Answer:

Because 4 is a perfect square

Step-by-step explanation:

When simplifying a radical, you have to look for perfect squares. 4 is a perfect square but x is not. Variables are only perfect squares if they have even numbered exponents so the x has to stay in the radical.    

7 0
3 years ago
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