All categories

2 years ago

David is having a cookout. Hot dogs and buns are sold based on the following quantities per package.

Mathematics

1 answer:

melisa1 [442]2 years ago

3 0

Answer: Choice C) David should buy 5 packages of buns and 6 packages of hot dogs.

========================================================

Explanation:

Focus on the hot dog buns for now

1 package = 12 hot dog buns

2 packages = 24 hot dog buns (multiply both sides by 2)

3 packages = 36 hot dog buns (multiply original equation by 3)

We can see that the multiples of 12 are being listed. So we have

12, 24, 36, 48, 60, 72, 84, ...

as the possible number of hot dog buns we could get if we buy 1,2,3... packages.

The possible number of hot dogs we can get are

10, 20, 30, 40, 50, 60, 70, 80, ...

which are multiples of 10. Simply add 10 to each item to get the next one.

--------------------------------

Considering these two sets

12, 24, 36, 48, 60, 72, 84, ...

10, 20, 30, 40, 50, 60, 70, 80, ...

what is the lowest common multiple? That would be 60 since it is found in both lists and it is the smallest in common.

The LCM of 12 and 10 is 60.

If he wanted 60 hot dog buns, then 60/12 = 5 packages of buns is what he needs.

If he wanted 60 hot dogs, then he needs 60/10 = 6 packages of hot dogs.

Therefore, David should buy 5 packages of buns and 6 packages of hot dogs. The answer is choice C.

--------------------------------

Side note: a different way to find the LCM is to multiply 10 and 12 to get 10*12 = 120. Then we divide by the GCF 2 getting 120/2 = 60.

You might be interested in

What is the area of the parallelogram?

Anarel [89]

Answer:

7 and one-half feet squared

Step-by-step explanation:

3 x 2.5 = 7.5

7 0

2 years ago

Fill in the table for the exponential function given f(x)=3(2)^n

mina [271]

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

So we have 2^-1. This is the same as $3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2}$ = a

Now do $3(2^0) = 3$ = b

Then do $3(2^1) = 6$ = c

Finally do $3(2^2) = 12$ = d

6 0

3 years ago

PLEASE HELP ADSAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Rasek [7]

Answer:

Part A: (0.25+0.30+0.75) - 0.20

Part B:

Step-by-step explanation:

The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).

So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:

(0.25+0.30+0.75) - 0.20

The simplified equation will be:

1.3 - 0.20

= 1.1

I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.

Best of luck, and have a blessed day! For any question or comments, please say so!

4 0

3 years ago

Read 2 more answers

Nicole used 3/8 of her ribbon to wrap the present. If she used 6 feet of ribbon for the present how much ribbon did Nicole have

lilavasa [31]

You would set up a proportion. 3/8 = 6/x... cross multiply ( 3*x = 3x and 6*8 = 48) 3x = 48... divide both sides by 3 (3x/3 = x and 48/3 = 16)

So, she originally had 16 feet of ribbon.

6 0

3 years ago

What is $112 in 8 hours

never [62]

Answer:

A unit rate must have a denominator of one:

n/1

So you would get n by dividing 112 by 8: 112 divided by 8 = 14 so n = 14.

14/1 or $14 p/ hr

8 0

3 years ago