1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alborosie
3 years ago
8

its the end of the school year and a tenth grade civics class is planning a barbecue to celebrate. the class has drinks and dess

erts but needs to plan the number of hamburgers it needs to buy. Hamburger patties are sold in packages of six hamburgers. hamburger tolls come in packages of eight rolls. What is the smallest number of hamburgers that should be purchased to have no rolls left over from a package
Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0
Alright so think of it this way. You want the number of hamburger patties to equal the number of rolls with as little packages as possible.
              # of Packages         # per package        total #
Patties               1            x               6              =     6    
Rolls                  1            x               8              =     8

As you see above, the total number of patties and rolls is related to the product of the number of packages and the number per package.
Therefore to answer this problem, just find the least common multiple of 6 and 8:

Multiples of 6: 6, 12, 18, 24, 36...
Multiples of 8: 8, 16, 24, 32, 40....

24 is the least common multiple. To get to 24, you multiply 6 by 4 and 8 by 3. Therefore, you need 4 packages of 6 hamburgers, and 3 packages of 8 rolls.

This is confirmed in the table below:
               # of Packages         # per package        total #
Patties               4            x               6              =     24   
Rolls                  3            x               8              =     24

You might be interested in
Question 2. Do I divide 9.76 by 8 or the opposite?
schepotkina [342]
It could go either way
7 0
3 years ago
Read 2 more answers
The table represents a linear function.
Alona [7]

Answer: -6

See attached picture

6 0
3 years ago
The quotient of a number and 15 is no greater than 450. What are the possible values. For the number?
FinnZ [79.3K]
A number can be represented by n. So n/15≤450 then multiply both sides by 15 to get n by itself n≤6,750 Hope this helped!!! :)
5 0
3 years ago
2. The prices of several different cereals are given below. Find the mean, median, mode, MAD, and IQR of these values. Which mea
Maru [420]

Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

<h3>How to determine the values</h3>

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = \frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = \frac{4. 25 + 4. 75}{2}

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = |(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |

MAD = 1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that  the mean and median are the most common measures of center.

A measure of variability is a single number that is  used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

Learn more about mean here:

brainly.com/question/20118982

#SPJ1

5 0
2 years ago
What is the Laplace Transform of 7t^3 using the definition (and not the shortcut method)
Leokris [45]

Answer:

Step-by-step explanation:

By definition of Laplace transform we have

L{f(t)} = L{{f(t)}}=\int_{0}^{\infty }e^{-st}f(t)dt\\\\Given\\f(t)=7t^{3}\\\\\therefore L[7t^{3}]=\int_{0}^{\infty }e^{-st}7t^{3}dt\\\\

Now to solve the integral on the right hand side we shall use Integration by parts Taking 7t^{3} as first function thus we have

\int_{0}^{\infty }e^{-st}7t^{3}dt=7\int_{0}^{\infty }e^{-st}t^{3}dt\\\\= [t^3\int e^{-st} ]_{0}^{\infty}-\int_{0}^{\infty }[(3t^2)\int e^{-st}dt]dt\\\\=0-\int_{0}^{\infty }\frac{3t^{2}}{-s}e^{-st}dt\\\\=\int_{0}^{\infty }\frac{3t^{2}}{s}e^{-st}dt\\\\

Again repeating the same procedure we get

=0-\int_{0}^{\infty }\frac{3t^{2}}{-s}e^{-st}dt\\\\=\int_{0}^{\infty }\frac{3t^{2}}{s}e^{-st}dt\\\\\int_{0}^{\infty }\frac{3t^{2}}{s}e^{-st}dt= \frac{3}{s}[t^2\int e^{-st} ]_{0}^{\infty}-\int_{0}^{\infty }[(t^2)\int e^{-st}dt]dt\\\\=\frac{3}{s}[0-\int_{0}^{\infty }\frac{2t^{1}}{-s}e^{-st}dt]\\\\=\frac{3\times 2}{s^{2}}[\int_{0}^{\infty }te^{-st}dt]\\\\

Again repeating the same procedure we get

\frac{3\times 2}{s^2}[\int_{0}^{\infty }te^{-st}dt]= \frac{3\times 2}{s^{2}}[t\int e^{-st} ]_{0}^{\infty}-\int_{0}^{\infty }[(t)\int e^{-st}dt]dt\\\\=\frac{3\times 2}{s^2}[0-\int_{0}^{\infty }\frac{1}{-s}e^{-st}dt]\\\\=\frac{3\times 2}{s^{3}}[\int_{0}^{\infty }e^{-st}dt]\\\\

Now solving this integral we have

\int_{0}^{\infty }e^{-st}dt=\frac{1}{-s}[\frac{1}{e^\infty }-\frac{1}{1}]\\\\\int_{0}^{\infty }e^{-st}dt=\frac{1}{s}

Thus we have

L[7t^{3}]=\frac{7\times 3\times 2}{s^4}

where s is any complex parameter

5 0
3 years ago
Other questions:
  • A:
    13·1 answer
  • Which statement is true about the sides
    9·1 answer
  • How many quarts are equivalent to 14 liters? Round your answer to the nearest tenth.
    9·2 answers
  • Find the unknown: 4:2:3 = x : 18: 27​
    8·2 answers
  • A square tile has an area of 148 in2.
    6·1 answer
  • Determine the value of x in the diagram.<br> 96°<br> X<br> 84°<br> 96°
    5·1 answer
  • Using the slope formula for the point (1,5) and (2,-2),what would the denominator?
    6·2 answers
  • Witch stament is supported by the data in the dot plot?
    9·1 answer
  • Sheila's entertainment center has enough space for a television that is 12 inches long and 15 inches high. TVs for Less is selli
    6·1 answer
  • In which graph does line L have a negative slope?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!