Answer:
6- Part A:
Part B:
Solution of the system:
Step-by-step explanation:
<u>Part A:</u>
In words, the equation is formed like this:
Total kg of Arabica + Total kg of Robusta = Total kg of coffee
Now, the total of each yield is calculated by the product of kg/hectare and number of hectares. Thus, the equation is:
<u>Part B:</u>
In words:
Arabica's worth + Robusta's worth = plantation worth
Each yield's worth is given by the product of the price per kg and the corresponding production. So, the equation is:
Answer:
The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
Step-by-step explanation:
We are given the following from what she knows
m∠3=2⋅m∠1... 1
m∠2=2⋅m∠4 ... 2
m∠2+m∠3=360 ... 3
From what is given, we can substitute equation 1 and 2 into equation 3 as shown:
From 3:
m∠2+m∠3=360
Substituting 1 and 2 we will have:
2⋅m∠4 + 2⋅m∠1 = 360
Factor out 2 from the left hand side of the equation
2(m∠4+m∠1) = 360
Divide both sides by 2
2(m∠4+m∠1)/2 = 360/2
m∠4+m∠1 = 180°
Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
Answer:
x= 62
y= 54
Step-by-step explanation:
Step one:
given data
let the numbers be x and y and the larger be x the smaller be y
The difference between two numbers is 8
x-y= 8-----------1
If the larger is subtracted from three times the smaller, the difference is 100
3y-x=100------------2
from eqn 1, x= 8+y
put this in eqn 2
3y-(8+y)=100
3y-8-y=100
collect liker terms
3y-y-8=100
2y=108
y= 54
put y= 54 in eqn 1
x-y=8
x-54= 8
x= 8+54
x=62
Answer:
thats too long to read but good luck!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.