Answer: Bruno = 16 cans, Blaze = 14 cans
<u>Step-by-step explanation:</u>
Part A gave you the three equations.
Part B showed you the intersected points --> (16, 14), (20, 10), & (21.4, 10.7)
Part C is giving you the Cost function: C(x, y) =0.10x + 0.20y
Input the intersected points into the Cost function to find the maximum.
C(16,14) = 0.10(16) + 0.20(14)
= 1.60 + 2.80
= 4.40
C(20,10) = 0.10(20) + 0.20(10)
= 2.0 + 2.00
= 4.00
C(21.4,10.7) = 0.10(21.4) + 0.20(10.7)
= 2.14 + 2.14
= 4.28
Of the three results we just found, 4.40 is the biggest value.
So, the maximum occurs at C(16,14) = 4.40
↓ ↓
Bruno Blaze
Keep in mind that whenever you have a variable inside an expression, you have to think of it as a placeholder, hiding a certain value which we haven't specified yet.
Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.
So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.
So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
If 
, the expression becomes 
and it evaluates to 
.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete as the required trapezoid is not given. SO, I will answer using genera rules.
The area of a trapezoid is:
Where
parallel sides
Assume that:
The formula becomes
Answer:
car covers distance of 450 km in 4hr and 30min
4hr and 30 min - (4*60)+ 30 equal to 270
distance covered by car in one minute equal to 450/270 equal to 1.6 km
speed of car equal to (1.6*60)/60 equal to 1.6 km /hr
X=12
First you would combine like terms 7+3=10
Then you would have 10 +5x =70
Subtract 10 from both sides 10-10 & 70-10
That will leave you with 5x=60
Divide 5 from both sides 5x/5 & 60/5
Answer will be x = 12
