Answer:
Then make one
Step-by-step explanation:
The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
Answer:

Step-by-step explanation:

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.
For UK, Number of Samples
For France, Number of Samples
For Spain, Number of Samples
For Italy, Number of Samples
The completed table therefore is:

Answer:
The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine
Step-by-step explanation:
3p = three x a number
7p = seven x a number
3p+6 = sum of three x a number plus six
7p-9 = difference of seven x the number minus nine
(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine
Answer:
There are three diferent methods for solving linear equations. We get same answer by solving with any of them but each of them has its own advantages and disadvantages.
Step-by-step explanation:
The different methods for dolving the linear equations are:
- Substitution
- Elimination
- Graphing
The advantages and disavantages with examples are as follows:
A: Substitution- In this we write an equation for second variable when the first is given which gives an advantage. It is considered best when one or both the equation is solved for any one of the variable.
When we have one of the variable whoes coefficient is 1 it works well.
Example:
Let the equation be
x=
we can substitute this value in another equation,
Then in that case,
x=
=
⇒5y=35
⇒y=7.
Now, as we have value for one variable we will substitute it in the first equation given, we will get
x=3.
B: Elimination- It is the best method to use. it is used when both of the given equation are in standard form. It is also used when all the given variables have a coefficient other than 1.
C: Graphical representation- It is best used when a new student is trying to learn equation solving as it gives a visual idea of solving the linear equation. The disadvantages associated with it is that it takes more time than the other two methods and is also less exact. It should be recommended only when we get a question to be solved with a graph.