5/4 is the constant of proportionality
Answer:
<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>
Step-by-step explanation:
let x be the number of seats in A,
y be the number of seats in B, and
z be the number of lawn seats.
y=3x
the total number of seats is given by
(x+y+z)=13000
put y=3x
(x+3x+z)=13000
(4x+z)=13000------1
also
(4x+z)13000=503000----2
hence the systems of equation is
(4x+z)=13000------1
(4x+z)13000=503000----2
Answer:-43 + 9x = 0
Step-by-step explanation:Simplifying
9x + -43 = 0
Reorder the terms:
-43 + 9x = 0
Solving
-43 + 9x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '43' to each side of the equation.
-43 + 43 + 9x = 0 + 43
Combine like terms: -43 + 43 = 0
0 + 9x = 0 + 43
9x = 0 + 43
Combine like terms: 0 + 43 = 43
9x = 43
Divide each side by '9'.
x = 4.777777778
Simplifying
x = 4.777777778
The value of a is 80
Step-by-step explanation:
The distance of a point
from the y-axis can be written as

because the x-coordinate of the y-axis is zero.
Similarly, the distance of a point
from the x-axis can be written as

Since the y-coordinate of the x-axis is zero.
In this problem:
- The distance of the point A (−30, −45) from the y-axis can be written as

- The distance of point B (a,a) from the x-axis can be written as

Since
.
We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

Therefore,

And solving for a,

Learn more about distance:
brainly.com/question/3969582
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