Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
<span>5 sixths of 24
=> 5/6 * 24
=> 120/6
=> 20 ...
Hope it helps !!!
</span>
Answer:
- <em>1. Morty's total cost for the items he purchased was </em><u><em>$210</em></u>
- <em>2. Morty's revenue from the sale of the items was </em><u><em>$547</em></u>
- <em>3. Morty's Total profit was </em><u><em>$337</em></u>
<em />
Explanation:
The complete question is:
<em>Morty buys and sells computer parts. He bought two monitors for $25 each and later sold them for $88 each. He bought four cases for $15 each and later sold them for $24 each. He bought five memory modules for $20 each and later sold them for $55 each.</em>
<em />
- <em>Morty's total cost for the items he purchased was</em>
- <em>Morty's revenue from the sale of the items was</em>
- <em>Morty's Total profit was </em>
<em />
<h2><em>Solution</em></h2>
<em />
<u><em>1. Morty's total cost for the items he purchased was</em></u>
<em />
Build a table with the number of parts and their costs:
Component Amout Unit cost Total cost
$ $
Monitors 2 25 50
Cases 4 15 60
Memory 5 20 100
Total cost = $50 + $60 + $100 = $210
<u><em>2. Morty's revenue from the sale of the items was</em></u>
<em />
Build a table with the number of parts and their selling prices:
Component Amout Unit price Total cost
$ $
Monitors 2 88 176
Cases 4 24 96
Memory 5 55 275
Total revenue: $176 + $96 + $275 = $547
<u><em>3. Morty's Total profit was </em></u>
<em />
The total profit is the total revenue less the total cost: $547 - $210 = $337.
Answer:
. . . 18. x = 8√6
. . . 19. x = 3
. . . 20. x = 3√3
. . . 21. x = 5/3
Step-by-step explanation:
You have already marked the correct relationships on the drawings. Finding the value of x is a matter of making use of those relationships.
__
18. As you show, x is the given side multiplied by √3, so is ...
. . .x = (8√2)(√3) = 8√6
__
19. As you show, the given side is x multiplied by √2, so ...
. . . 3√2 = x√2
. . . 3 = x . . . . . . . . . . divide by √2
__
20. As you show, the given side is x multiplied by √3, so ...
. . . x√3 = 9
. . . x = 3√3 . . . . . . multiply by (√3)/3
__
21. As you show, ...
. . . 8x -10 = 2x
. . . 6x -10 = 0 . . . . . subtract 2x
. . . x - 10/6 = 0 . . . . divide by 6
. . . x = 5/3 . . . . . . . . reduce the fraction and add it to both sdes
