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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:

Scale factor = 4

Step-by-step explanation:

Scale factor = \frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}

Since, S is being dilated with a scale factor to form T,

So, the figure S is the preimage and figure T will be the image,

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Therefore, Scale factor = \frac{8}{2}

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A restaurant has a total of 30 tables which are of two
Anna007 [38]

Answer:

Total number of tables of first type       = 23.

Total number of tables of second type = 7

Step-by-step explanation:

It is given that there are 30 tables in total and there are two types of tables.

Let's call the two seat tables, the first type as x and the second type as y.

∴                                             x + y = 30                        ......(1)

Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:

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To solve (1) & (2) Multiply (1) by 2 and subtract, we get:

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Substituting y = 7 in (1), we get x = 23.

∴ The number of tables of first kind         = 23

  The number of tables of second kind   = 7

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