Answer: Area of the walkway: 4.5(4x+6) - 4(2.5x+3.5)
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Area of the garden: 4(2.5x+3.5)
Combined area of the garden and the walkway: 4.5(4x+6)
Area of the walkway = A
So, the combined area of the garden and the walkway is equal to sum of both areas:
4(2.5x+3.5)+ A = 4.5(4x+6)
Solving for A:
A = 4.5(4x+6) - 4(2.5x+3.5)
Area of the walkway: 4.5(4x+6) - 4(2.5x+3.5)
Your rows would be $0.90 Chocolate, $1.20 Chocolate, and the Total Chocolate Mix, and your columns would be the Amount of Chocolate in #s and the Total Costs
(This is the best I can do coming up with a grid)
________________amt (#)_________total costs
$0.90_____________10______________9.00
$1.20______________x______________1.20x
Total Mix_________10+x_____________9+1.2x
Using this grid, you see that 10+x=9+1.2x so solve for x
10+x -x=9+1.2x -x
10=9+.2x
10 -9=9+.2x -9
1=.2x
1/.2=(.2x)/.2
x=5, so you need 5lbs of the $1.20 chocolate to produce a mixture worth $1.00
Answer:
The answer is A.
Step-by-step explanation:
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
Hint:
Ax+By+C= D
is parallel to
Ax+By+C= E
So in this case,
2x−9y+4z=5
is parallel to
2x−9y+4z=k
for any real number k
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that the origin is always ( 0, 0 ).
Next, as shown in the diagram attached, we can establish that there is a right-angle triangle formed when we connect the different points given from the problem. We can use this to solve the problem.
As the shape is a right-angle triangle, we can use Pythagoras' Theorem which is as follows:
a^2 + b^2 = c^2
Where c = hypotenuse of the right-angle triangle
Where a and b = other two sides of the right-angle triangle which aren't the hypotenuse
From this, we will substitute the values from the problem into Pythagoras' Theorem.
a^2 + b^2 = c^2
a = 12
b = 5
c = distance from the origin = d
THEREFORE:
( 12 )^2 + ( 5 )^2 = d^2
d^2 = 12^2 + 5^2
d^2 = 144 + 25
d^2 = 169
d = square root of ( 169 )
d = 13
FINAL ANSWER:
Therefore, the point ( 12, 5 ) is 13 units from the origin.
Hope this helps! :)
Have a lovely day! <3