David is having a cookout. Hot dogs and buns are sold based on the following quantities per package.
Item
Amount Per Package
Hot dog buns
12
Hot dogs
10
A
David thought that he would have to buy 12 packages of hot dog buns and 10 packages of hot dogs to have one bun for each hot dog.
What is the LEAST amount of each David would need to buy to have an equal number of hot dogs and buns?
David should buy 2 packages of buns and 2 packages of hot dogs,
David should buy 6 packages of buns and 5 packages of hot dogs.
с David should buy 5 packages of buns and 6 packages of hot dogs,
D David should buy 22 packages of buns and 22 packages of hot dogs
B

Answers

Answer 1

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.


Related Questions

How many degrees is StartFraction 15 Over 16 EndFraction pi radians? 84.375° 93.75° 168.75° 337.5°

Answers

Answer:

x = 168.75°

Step-by-step explanation:

Angle Measurement Units

To convert from different units for angle measurements, we have to recall that:

180 degrees = π radians

If we are given the angle in degrees, multiply by π/180 to convert it to radians.

If the angle is given in radians, multiply by 180/π to convert to degrees.

We are given the angle:

[tex]\displaystyle x=\frac{15}{16}\pi[/tex]

Multiplying by 180/π:

[tex]\displaystyle x=\frac{15}{16}\pi\cdot \frac{180}{\pi}[/tex]

Simplifying:

[tex]\displaystyle x=\frac{15*180}{16}[/tex]

x = 168.75°

Answer:

C.  168.75 degrees

Step-by-step explanation:

Can someone please help me with this problem?

Answers

Answer:

[tex]sin(\theta)=\frac{40}{41} \\cos(\theta)=\frac{9}{41} \\tan(\theta)=\frac{40}{9}\\csc(\theta)=\frac{41}{40} \\sec(\theta)=\frac{41}{9} \\cot(\theta)=\frac{9}{40}[/tex]

Step-by-step explanation:

Notice we can use the Pythagorean theorem to find the measure of the unknown side via:

[tex]123^2=120^2+x^2\\x^2=729\\x=\sqrt{729} \\x=27[/tex]

and now, knowing all the sides, we can find all te trigonometric functions of the angle  [tex]\theta[/tex]:

[tex]sin(\theta)=\frac{opp}{hyp} = \frac{120}{123} =\frac{40}{41} \\cos(\theta)=\frac{adj}{hyp} = \frac{27}{123} =\frac{9}{41} \\tan(\theta)=\frac{opp}{adj} = \frac{120}{27} =\frac{40}{9}\\csc(\theta)=\frac{41}{40} \\sec(\theta)=\frac{41}{9} \\cot(\theta)=\frac{9}{40}[/tex]

A cylinder has a base diameter of 18 feet and height of 15 feet . What is it’s volume in a cubic feet to the nearest tenths place ?

Answers

it's 3817.04 but you round to the nearest tenth

v = pi * r^2 * h

radius is half of diameter so 18/2 = 9. now plug that in :)

v = pi * 9^2 * 15
v = pi * (81)(15)
v = 1215(pi)
v = 3817.0

hope this helped :)

Is 9 yards bigger then 324 inches

Answers

Answer:

No

Step-by-step explanation:

Because they are equal

Answer: no , it’s equal

Step-by-step explanation:

9 yards is equal to 324 inches

Cuz there are 36 inches in 1 yard

So 36(9) = 324 inches!!

8. Which congruence postulate or theorem must you use before proving

Answers

Answer:

last one ?

Step-by-step explanation:

you can prove it by base angle threom  because this a isscloes triangle

Re write the quadratic function in standard form


y=6(x-3)^2+4

Answers

Answer:

y= 6[tex]x^{2}[/tex] - 36x + 58

Step-by-step explanation:

6 ( [tex]x^{2}[/tex] - 6x +9) + 4

6[tex]x^{2}[/tex] - 36x + 54 + 4

6[tex]x^{2}[/tex] - 36x + 58

A=14
B=7
C=3.5
D=7 square root of 2

Answers

Answer:

7

Step-by-step explanation:

Daisy made mac and cheese for her nephew and used 1.5 cups of macaroni and 2 cups cheese. Later that week she made a larger batch. If she used the same recipe and used 4 cups of cheese. How many cups of macaroni did she use?

Answers

Answer:

42

Step-by-step explanation:

2x^2 + 3x = -5
Trying to find the solution,
Thank you.

Answers

Answer:

x = 1/2 or -2

Step-by-step explanation:

2x^2 +3x -2 = 0

(2x - 1) ( x + 2 ) = 0

(2x-1) = 0 ______ x = 1/2

or

(x +2 ) = 0 ______ x = -2

Solve for x.



................

Answers

The 21x-8 and the 13x-4 are they angles or are they line segments?

what is aas in Geometry?

Answers

Answer:

angle angle side

Step-by-step explanation:

god bless you hun

A model sized cube has a side length of 15cm. The full sized version has a side length of 127.5cm. What is the scale?

Answers

Answer:

8.5

Step-by-step explanation:

I did give a detailed explanation here but someone deleted it :(

Can someone help me find the GCF of 35 and 63 please show your work thank you​

Answers

The first step to find the gcf of 35 and 63 is to list the factors of each number. The factors of 35 are 1, 5, 7 and 35. The factors of 63 are 1, 3, 7, 9, 21 and 63. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder. 

To sum up, the gcf of 35 and 63 is 7. In common notation: gcf (35,63) = 7.

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

Which equation has a slope of and goes through the point (-3.4)?​

Answers

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Need some answers preferably in the next 24 hours 4 ^-2 x 4^-4

Answers

Answer: 1/4096

Step-by-step explanation:

4^-2 = 1/16

4^-4 = 1/256

multiplying them gives 1/4096

CAN SOMEONE HELP??! VERY URGENT

Answers

85 = 10x+15
70 = 10x
x = 7

180-85 = 95 = z

Each factory at a candy company has 199 workers. There are 13 factories.
How many workers are employed at the candy company? pls help me on this

Answers

Answer:

2587

Step-by-step explanation:

so 199 workers per factory with 13 factories it is 199 times 13 which equals 2587

199 workers x 13 factory = 2,587 workers

Answer : 2,587 workers

Which CANNOT be used to prove that lines in and n are parallel?
A. 2 = 4
B. 4 is supplementary to 7.
C. 24 is supplementary to 5.
D. 1 = 5


Answers

C.24 is supplementary to 7

round 9647 to the nearest thousand. enter your answer in the box below.​

Answers

Answer:

10,000 because the 6 is 5 or more which makes it round up a thousand.

Step-by-step explanation:

10,000. since 647 is greater than 500, round up. hope this helps, please mark brainliest and have a great day

Graph the following equation:
y=3x-4

Answers

Answer:

3*​x-​4

Step-by-step explanation:

you start at -4 then go up 3 over one and continue

y = 8(x2 + 4x + ) + 17 +

Answers

Answer:

8 (x^2 + 4 x + 4) + 17 + - 32

Step-by-step explanation:

Mrs. Farquharson drove through a total of 36 intersections on her way home from work last week. At 4 of every 16 intersections, Mrs. Farquharson had to stop for a red light before she could drive through. At how many intersections did Mrs. Farquharson have to stop for a red light?

Answers

She had to stop at 9

x-1
8
The slope of QR is *4 and the slope of ST is
3
If QR I ST, determine and state the value of x.

Answers

Answer:

E. -1/2

Step-by-step explanation:

When two lines are said to be perpendicular to each other, the slope of one is the negative reciprocal of the other.

Therefore, given that [tex] \frac{x - 1}{4} [/tex] is the slope of [tex] \overline{QR} [/tex], and ⁸/3 is the slope of [tex] \overline{ST} [/tex], if both lines are perpendicular, it means that the slope of [tex] \overline{ST} [/tex] would be the negative reciprocal of the slope of [tex] \overline{QR} [/tex].

Therefore:

[tex] \frac{x - 1}{4} = -\frac{3}{8} [/tex]

Cross multiply

[tex] (x - 1)(8) = (-3)(4) [/tex]

[tex] 8x - 8 = -12 [/tex]

Add 8 to both sides

[tex] 8x = -12 + 8 [/tex]

[tex] 8x = -4 [/tex]

Divide both sides by 8

[tex] x = \frac{-4}{8} [/tex]

[tex] x = \frac{-1}{2} [/tex]

Plz I need help with this ASAP

Answers

Answer:

$134 is the ans

Step-by-step explanation:

need mad help bro, this is so confusing

Answers

im doing the same thing but add some numbers sorry bro im failing

20) Jermaine's goal is to eat 25 grams of protein each day. If Jermair meets his goal, how many grams of protein will he have eaten after 30 days​

Answers

Answer:750 grams

Step-by-step explanation:

25*30=250 grams after 30 days

You are rolling one die. Let event A = rolling a six and let event B = rolling a number less than
four. What is the probability of A or B?

Answers

Answer:

2/3

Step-by-step explanation:

A = rolling a six

B = rolling a number less than 4

Probability of A or B

P(A) or P(B) = P(A) + P(B) - P(AnB)

Probability = (number of required outcome / Total possible outcomes)

P(A) = 1 / 6

P(B) :

Required outcomes = (3, 2, 1) = 3

P(B) = 3/6 = 1/2

P(AnB) = A={6} ; B = {1,2,3} ; AnB = {}

P(AnB) = 0

Hence,

P(A) or P(B) = 1/6 + 1/2 - 0

= (1 + 3) / 6

= 4/ 6

= 2/3

Which is the equation of a line with the same y-intercept as the line with the equation 5x -4y =12!

Answers

Answer: the answer is d

Step-by-step explanation:

2. Simplify ((–3)2)3

Answers

Answer:

-18

Step-by-step explanation:

((-3)2)3

First, you multiply -3 and 2 which equals  -6

-3·2=-6

Then, you multiply -6 and 3 which equals  -18

-6·3=-18

HELP DUE IN 20 minutes

Answers

Shortest to longest

C
B
A
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