Perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.
The first thing we will do in this case is to define variables:
x = number of individual tickets.
y = number of tickets per couple.
We have then that the system of equations that represents the problem is:
10x + 15y = 590
x + 2y = 68
Solving the system we have:
x = 32
y = 18
Substituting we have:
10 (32) + 15 (18) = 590
320 + 270 = 590
590 = 590
Equality is met, therefore the $ 5 bill belongs to the box.
Answer:
the $ 5 bill belong inside the cash box
<span>83.03 acres.
To solve this, first calculate how many square feet that central park covers. Just multiply its length and width. So
1.37x10^4 * 2.64x10^2 = 3.6168x10^6
Now divide its area in square feet by the number of square feet in an acre.
3.6168x10^6 / 4.356x10^4 = 8.303x10^1 = 83.03</span>
Answer:
The correct answer is YES, it is a solution of the system.
Step-by-step explanation:
The system of equations have equations 2x − 3y = −5 and 4x − 4y = −4.
We need to find whether of not (2,3) is a solution to the system of equation.
We multiply the equation 2x − 3y = −5 by 2 and subtract it with the other equation. This gives us,
⇒ 4x - 6y +10 -4x +4y -4 = 0
⇒ 2y = 6
⇒ y = 3.
⇒ x = 2.
Thus ( 2 , 3 ) is the solution.
Answer:
1436.8 in³ (nearest tenth)
Step-by-step explanation:
A globe is in the shape of a sphere.

Diameter= 2 ×radius
radius of globe
= 14 ÷2
= 7 inches
Volume of globe
