Answer:
Step-by-step explanation:
x + 2y = 14 ...............(1)
6x + 3y = 21 ..............(2)
Solve for x in equation 1
When x + 2y = 14
Therefore x = 14 - 2y ...................(3)
Now put equation 3 in equation 2 and solve
6x + 3y = 21 .............(2)
6(14 - 2y) + 3y = 21
Open the bracket and resolve
84 - 12y + 3y = 21
-9y + 84 =21
Now collect the like terms
-9y + 84 = 21
-9y = 21 - 84
-9y = -63
Divide through by -9 to get y
y = -63/-9
y = 7
Substitute for y in equation( 3 )to x
x= 14 - 2y............(3)
So, x = 14 - 2(7)
x = 14 - 14
x = 0.
Therefore x = 0 and y = 7
Check: From equation (1)
x + 2y = 14
Now, put x = 0 and y = -2
Therefore, 0 +2(7) =14
0 +14 = 14
Mannys brother ran 487.5 meters. 487.5 meters= 48750 centimeters
7 1/2÷ 1 9/10 = 15/2 ÷19/10 = 15/2x10/19 = 159/38 = 4 7/38
4 7/38 (Answer)
_____
38 )159
152
__________
Answer:
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
<u>Question Completion</u>
The results are shown below.
![\left|\begin{array}{c|c}$Category&$Percent of Sales\\--------&------\\$Games&24\\$Reference&13\\$Education&17\\$Home Productivity &25\\$Business&21\end{array}\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cbegin%7Barray%7D%7Bc%7Cc%7D%24Category%26%24Percent%20of%20Sales%5C%5C--------%26------%5C%5C%24Games%2624%5C%5C%24Reference%2613%5C%5C%24Education%2617%5C%5C%24Home%20Productivity%20%2625%5C%5C%24Business%2621%5Cend%7Barray%7D%5Cright%7C)
Answer:
38
Step-by-step explanation:
From the analysis of the previous sales.
25% of Software sold were for Home Productivity.
Therefore, if the manager plans to order 150 software packages, 25% of them should be for home productivity.
Total Number of Software to be ordered=150
Number of home productivity software
=25% of 150 =0.25 X 150=37.5
Since the manager cannot order a decimal number, we round it up to 38.
Therefore, the manager should order 38 home productivity software.