Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
Given:
Principal = 15,000
interest = 8.5%
term = 9 years
I = 15,000 * 8.5% * 9 years = 11,475
total amount after 9 years = 15,000 + 11,475 = 26, 475
Preterm after 2 years. wdl of 4,000. penalty is 6 months interest of 4,000
I = 4,000 * 8.5% * 6/12 = 170 amount of penalty
I = 15,000 * 8.5% * 2 years = 2,550 interest earned for 2 years
15,000 + 2,550 = 17,550
17,550 - 4,000 - 170 = 13,380 amount to be invested for another 7 years
I = 13,380 * 8.5% * 7 years = 7,961.10
total amount after 9 years with pretermination
13,380 + 7,961.10 = 21,341.10
Answer:
Jack ran 38 km and Ted ran 43 km.
Step-by-step explanation:
Let Jack’s displacement be 




Answer:

Step-by-step explanation:
<u>Step 1: Factor</u>
<em>Subtract 24 from both sides</em>


<em>Make two different x's</em>


<em>Make two different parenthesis</em>


<em>Step 2: Solve for x in both equations</em>






Answer: 
Answer:
about 27.6
Step-by-step explanation:
The sum of interior angles for this rectangle is 1080
119+140+124+6x+132+132+102 = 1080 add like terms
749 + 12x = 1080 subtract 749 from both sides
12x = 331 divide both sides by 12
x = 27.6 approximately