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juin [17]
3 years ago
11

The ratio of hamburgers to hot dogs is 6 to 5. Three times the number of hot dogs is 6 more than twice the number of hamburgers.

How many hot dogs are there?
Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:the number of hot dogs is 10

Step-by-step explanation:

Let x represent the number of hamburgers.

Let y represent the number of hot dogs.

The ratio of hamburgers to hot dogs is 6 to 5. This means that the ratio of x to y is 6/5

x/y = 6/5

5x = 6y

x = 6y/5

Three times the number of hot dogs is 6 more than twice the number of hamburgers. This means that

3y = 2x + 6 - - - - - - - - -1

Substituting x = 6y/5 into equation 1, it becomes

3y = 2(6y/5) + 6

3y = 12y/5 + 6

Multiplying both sides of the equation by 5, it becomes

15y = 12y + 30

15y - 12y = 30

3y = 30

y = 30/3 = 10

x = 6y/5 = 6×10/5

x = 60/5 = 12

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Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x  = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square  area of the green square

= (x + 24)^2 - x^2

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How do you write 4 hundredths,3 tenths, and 6 ones as a decimal?
Vsevolod [243]
The answer should be 6.34. This is because since the 6 is in the ones place, it should be the whole number. The 3 is a tenths so it should be the first number after the decimal. Finally, since 4 is in the hundredths place, it should be two places from the whole number.
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Anna007 [38]

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3 years ago
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X+(3x+2)+(1)/(2)x=29
Vladimir79 [104]

Answer:

\boxed{x=6}

Step-by-step explanation:

x+3x+2+0.5x=29

\sf Combine \ like \ terms.

4.5x+2=29

\sf Subtract \ 2 \ from \ both \ sides.

4.5x+2-2=29-2

4.5x=27

\sf Divide \ both \ sides \ by \ 4.5.

\displaystyle \frac{4.5x}{4.5} =\frac{27}{4.5}

x=6

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