The distance flown by plane is 750 kilometers.
Step-by-step explanation:
Let,
Distance traveled by plane = x
Distance traveled by car = y
Total distance = x+y
According to given statement;
The distance by car was 125 kilometers less than the distance by plane.
y = x - 125 => x=y+125 Eqn 1
The total distance was 500 kilometers less than three times the distance traveled by car.
Total distance = 3y - 500
x+y=3y-500 Eqn 2
Putting value of x from Eqn 1;

Putting y=625 in Eqn 1

The distance flown by plane is 750 kilometers.
Keywords: linear equations, substitution method
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I think it’s C. 10 pieces
7 1/2= 7.5
3/4=0.75
7.5 divided by .75= 10
Answer:
The and is x-2)-2(x + 3)3=0
Answer:
The equation is 
The slope is m=-4
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
y is the amount left in the saving account
x is the number of weeks
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
The slope is equal to
--> is negative because is a decreasing function
The y-intercept or initial value is

substitute

Answer:
The sum of the arithmetic progression is 2520
Step-by-step explanation:
The sum, Sₙ, of an arithmetic progression, AP, is given as follows;

Where;
n = The nth term of the progression
a = The first term = 100
d = The common difference = -2
Given that the last term = -10, we have;
-10 = 100 + (n - 1) ×(-2)
n = (-10 - 100)/(-2) + 1 = 56
Therefore, the sum of the 56 terms of the arithmetic progression is 
Which gives;
