Answer:
$57,791.8
Step-by-step explanation:
Each acre cost $43.60.
If the famer wants to harvest 1325.5 acres he has to pay 43.6 per acre
43.60×1325.5= 57,791.8
By the Pythagorean theorem
.. x = √((2√3)^2 -(√6)^2) = √(12 -6) = √6 . . . . cm
x = √6 cm
Answer:
10. First you multiply both sides by 3, making it 2x + 5 = 24
Then you subtract 5 from both sides making it 2x = 19
You dive both sides by 2 making x = 9.5
The answer is x = 9.5
11. First you need to find how much you need to pay each year. 12,000 x 0.05
you can make it easier by changing it to 120 x 5 = 600
You need to pay that for three years so 600 x 3 = 1800
Plus you need to pay the original money. 12,000 + 1,800 = 13,800
The answer is $13,800
12. First you change kilometers into centimeters. 172 km is 172,000 meters. 172,000 meters is 17,200,000
Then, you need to do 17,200,000 ÷ 500,000 but you can make it simple and do 172 ÷ 5 = 34.4
The answer is 34.4 cm
We can write the system in the following form:
![\left[\begin{array}{cccc}5&-4&4&2\end{array}\right] \left[\begin{array}{c}x_1\\x_2\\x_3\\x_4\end{array}\right] =b](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%26-4%264%262%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%5C%5Cx_2%5C%5Cx_3%5C%5Cx_4%5Cend%7Barray%7D%5Cright%5D%20%20%3Db)
The above system is equivalent to the following equation:
Of course, the above system has solution for any values of b since there is one equation and four variable, there is infinite number of solution each time.
Answer:
The bag costs 1500, while the umbrella cost 500
Step-by-step explanation:
Let the cost of the bag be b and the cost of the umbrella be u
Total cost is;
b + u = 2,000 •••••(i)
From the second part of the question;
b = 5u-1000 ••••••(ii)
Substitute ii into i
5u-1000 + u = 2000
6u = 2000 + 1000
6u = 3000
u = 3000/6
u = 500
To get b, substitute the value of u into equation ii
b = 5(500)-1000
b = 2500-1000
b = 1500
