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PtichkaEL [24]
3 years ago
10

Fast food hamburgers have high amounts of cholesterol. Two McDonald’s Quarter Pounders and three Burger King Whoppers contain a

total of 395 mg of cholesterol. Three Quarter Pounders and one Whopper contain a total of 288 mg of cholesterol. Determine the cholesterol content in each hamburger.
Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

McDonald’s Quarter Pounders = 67 mg of cholesterol

Burger King Whoppers = 87 of cholesterol

Step-by-step explanation:

McDonald’s Quarter Pounders = m

Burger King Whoppers = b

2m + 3b = 395

3m + 1b = 288

3m + b = 288

b = -3m + 288

2m + 3b = 395

2m + 3(-3m + 288) = 395

2m - 9m + 864 = 395

- 7m + 864 = 395

- 7m/7 = -469/7

-m = -67

-m/-1 = -67/-1

m = 67

2m + 3b = 395

2(67) + 3b = 395

134 + 3b = 395

3b = 395 - 134

3b = 261

3b/3 = 261/3

b = 87

Check: m = 67; b = 87

2m + 3b = 395

3m + 1b = 288

2m + 3b = 395

2(67) + 3(87) = 395

134 + 261 = 395

395 = 395

3m + 1b = 288

3(67) + 1(87) = 288

201 + 87 = 288

288 = 288

(Probs too late but welp :p)

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Answer:

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Step-by-step explanation:

sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal

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95 = 4x - 2 + 4x - 2 + x

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95 = 9x - 4

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Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...
Ugo [173]

Answer:

a_6_3=371

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

-1,5,11,...

Let

a_1=-1\\a_2=5\\a_3=11

a_2-a_1=5-(-1)=5+1=6

a_3-a_2=11-5=6

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We can write an Arithmetic Sequence as a rule

a_n=a_1+d(n-1)

where

a_n is the nth term                

d is the common difference

a_1 is the first term

n is the number of terms

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n=63\\d=6\\a_1=-1

substitute

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