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konstantin123 [22]
4 years ago
13

kens recipe for party mix says 5 cups of cereal for every 3 cups of popcorn. if he has made 18 cups of popcorn how many cups of

cereal will he need to use in the party mix
Mathematics
1 answer:
Fiesta28 [93]4 years ago
5 0

Answer:

you would need 30

Step-by-step explanation:

18/3=6

6*5=30

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ikadub [295]

Answer:

\boxed {\boxed {\sf x \approx 23.49 \ cm }}

Step-by-step explanation:

This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.

a^{2} + b^{2} =c^{2}

where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.

a= 17 \\b=x \\c= 29

17^{2} + x^{2} =29^{2}

Solve the exponents.

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289+x^{2} =841

289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.

289-289+ x^{2} =841-289\\x^{2} =552

x is being squared and the inverse is a square root. Take the square root of both sides of the equation.

\sqrt {x^{2} }=\sqrt {552}

x=23.4946802489

Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.

x \approx 23.49

x is approximately 23.49 centimeters.

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