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
baherus [9]
3 years ago
11

lee is sewing vest using 16 green buttons and 56 blue buttons.All the vests are identical and all have both green and blue butto

ns.What are the possible numbers of vests lee can make?what is the greatest number of vests lee can make.
Mathematics
1 answer:
DochEvi [55]3 years ago
3 0
For all the answers I will assume that all buttons both green and blue must be used. 

For the first question we will start by searching all the divisors of 16;

16: 1, 2, 4, 8, 16
We will think about the numbers of green buttons that can be used as the divisors of 16. We will check if t<span>he dividend of 16 to its divisors is a divisor for 56.
</span>
1 => 16 vests with 1 green button 56/16 = 3.5
2=> 8 vests with 2 green buttons 56/8 = 7
4=>  4 vests with 4 green buttons 56/4 = 14
8=> 2 vests with 8 green buttons 56/2 = 28
16=> 1 vest with 16 green buttons 56/1 = 56

From all the above results we concluded that Lee can make:
8 vests with 2 green buttons and 7 blue buttons
4 vests with 4 green buttons and 14 blue buttons
2 vests with 8 green buttons and 28 blue buttons
1 vest with 16 green buttons and 56 blue buttons

For the second question, the <span>greatest number of vests represents the greatest common divider of 16 and 56. 
</span>First, we break into prime factors
16 = 2^4
56 = 2^3 *7
The greatest common divider is 8.
<span>Lee can make 8 vests and each one will have 2 green buttons and 7 blue buttons (16/8=2 and 56/8=7)</span>


You might be interested in
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
IgorC [24]

Answer:

A(...; 7)

x =-1/5

B(8; ...)

y = 48

The slope is 5

Step-by-step explanation:

y−5x=8

A(...; 7)

We know that y=7, we need to find x

7 - 5x = 8

Subtract 7 from each side

7-7 -5x = 8-7

-5x =1

Divide by -5

-5x/-5 = 1/-5

x =-1/5

B(8; ...)

We know x = 8 we need to find y

y−5x=8

y - 5(8) = 8

y - 40 =8

Add 40 to each side

y-40+40 = 8+40

y = 48

Now we need to find the slope

y - 5x =8

Add 5x to each side

y -5x+5x = 5x+8

y = 5x+8

This is in the form y = mx+b  where m is the slope

The slope is 5

6 0
3 years ago
Please help with an explanation!! will mark brainliest, not the best at fractions haha
Vitek1552 [10]
The correct answer is letter C; -6,
-5 2/5 or -27/5 and -4 1/5 or -21/5.

You can find this answers by substituting 1, 4, and 10 into the letter n.

Then you follow the operational order to get the answer.
8 0
3 years ago
A hose fills a 18-gallon tub in 3 minutes how long will it take to fill a 45 gallon tub
horsena [70]

Answer:

your answer should be 7 or 7.5 minutes.

Step-by-step explanation:

Hope this helps and have a great day

5 0
3 years ago
Use scientific notation to rewrite the number:
slavikrds [6]
A. 2.603*10^-4
b. 538
3 0
3 years ago
Read 2 more answers
If 34.78x divided by 12.2y equals 238.8, then what is x and y?
gladu [14]
X=34.78 y= 238.8..............
6 0
3 years ago
Other questions:
  • Write an expression to represents the product of 6 and the sum of w and 5
    9·1 answer
  • What is the standard form for y=3x+11?
    7·2 answers
  • Please help I need to answer this question.
    8·1 answer
  • If g(x) = 3x - 4, what is the value of g-¹ (g(13))?​
    14·1 answer
  • Help me pleaseeee I don’t understand this
    7·1 answer
  • Solve the following equation 6/11=114/n
    11·1 answer
  • A) I only<br> B)I and II only<br> C)III and IV only<br> D)I,III,and IV only
    9·1 answer
  • HURRY!!! NO SPAM!!!Identify the volume of the composite figure in terms of π.
    13·2 answers
  • Which linear equations have one solution? Check all that apply. 5x - 1 = 3(x + 11) 0.4(x-2) + 4x = 8(x-9) O 4(x - 6) + 4 = 2(x -
    5·1 answer
  • 9_12-15-22-5_25-15-21<br>translate the code ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!