Answer:
The point for the given linear equations is (
, 
)
Step-by-step explanation:
Given as :
The two linear equations are
First equation
y = 
x + 5
Or, y + x + 5 = 0
Taking LCM we get
y + x + 10 = 0 .......1
Second equation
y = 2 x + 2 ........2
Now solving both equation
Putting the value of y from eq 2 into eq 1
(2 x + 2) + x + 10 = 0
Or, 3 x + 12 = 10
Or, 3 x = 10 - 12
Or, 3 x = - 2
∴ x =
Now putting the value of x into eq 2
∵ y = 2 x + 2
Or, y = 2 × + 2
Or, y = 
+ 2
Or, y = 
∴ y =
So, The points are (x , y ) = ( , )
Now, plotting the points on x-y coordinate graph
Hence, The point for the given linear equations is ( , ) Answer
Answer: 600 Miles
Step-by-step explanation:
We start off with $300.
We have to spend $60 to rent the car.
300 - 60 = $240
The remaining $240 can be spent on miles.
$240/0.40 = 600 Miles
Answer:
<u>The correct answer is 58 1/2 feet. See below to understand the difference of both methods.</u>
Step-by-step explanation:
1. Let's review the information provided to us for solving the question using both methods:
Area of each student = 4 1/2 square feet
Number of students = 13
2. Let's use the first method to solve the question:
4 1/2 = 9/2 (Improper fraction because the numerator, 9 is bigger than the denominator, 2)
9/2 * 13 = 117/2
<u>117/2 = 58 1/2 square feet</u>
3. Let's use the second method to solve the question:
4 1/2 = 4 + 1/2 (Using addition to rewrite the fraction)
(4 + 1/2) * 13 = (4 * 13) + (1/2 * 13) (Distributive property of the multiplication)
(4 * 13) + (1/2 * 13) = 52 + 13/2 = 52 + 6 1/2
<u>52 + 6 1/2 = 58 1/2 square feet</u>
Answer:
Step-by-step explanation:
Let X be number of woodland bicyles and Y grande expedition
Our objective is to maximize profit
Z = 250x+350Y
Constraints are: 2x+3y<450 and
x+y<375
(given)
Solution gives negative y. Hence intersecting point is not within constraint.
So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x
i.e x=225 and y =150
To maximize revenue 225 Woodland and 150 Grande to be produced
