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algol [13]
2 years ago
14

the calorie cafe is known for their hotdogs and burgers. the number of calories in a burger is 220 more than the number of calor

ies in a hotdog. the mega meal, which consists of 2 hotdogs and a burger, contains 1420 calories! how many calories are in each item?
Mathematics
1 answer:
meriva2 years ago
6 0

Answer:

  • Number of calories in burger = 620 calories
  • Number of calories in hotdog = 400 calories

Step-by-step explanation:

Number of calories in burger = x

Number of calories in hotdog = y

y = x - 220

x + 2y = 1,420

Substitution:

x + 2 * (x - 220) = 1,420

x + 2x - 440 = 1,420

3x = 1,420 + 440

x = 1,860 / 3

x = 620 calories

y = x - 220

= 620 - 220

= 400 calories

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Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey
victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

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We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

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∴ The length of the hypotenuse of the Δ = 50 feet

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∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

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Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

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∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

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Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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