5x - 8y + 104 = 0 is a linear equation passing through (-8 , 8) and parallel to the line whose equation is 5x - 8y - 7 = 0.
First, for two equations of line to be parallel with each other, their slope must be equal.
Transforming the given equation into slope-intercept form, y = mx + b:
5x - 8y - 7 = 0
8y = 5x - 7
y = 5/8 x - 7/8
m = 5/8
Hence, the slope of our equation should also be 5/8.
Using the again the slope intercept form, solve for b.
y = mx + b
where m = 5/8, x = -8 and y = 8
8 = 5/8 (-8) + b
8 = -5 + b
b = 13
With m= 5/8 and y-intercept, b = 13, the equation of our line is
y = mx + b
y = 5/8 x + 13
Multiplying both sides by 8,
8y = 5x + 104
5x - 8y + 104 = 0
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2x+3(3x-10)=14
2x+9x-30=14
11x=44
x=4
y=3(4)-10
y=2
There are 1250 skiers and 2500 snowboarders bought season passes.
<h3>What is substitution method:</h3>
The substitution technique is a mathematical approach for solving simultaneous linear equations. The value of one variable with one equation is substituted in the second equation, as the name implies.
<h3>According to the given information:</h3>
The ratio of 1:2 indicates that there is one skier for every two snowboarders.
Let S stand in for the skier.
B should symbolize the snowboarder.
This condition is equivalent to = 1:2 = S:B.
Alternatively, 2S = B.
B - S = 1250
2S - S = 1250
Applying substitution method.
s = 1250
B = 2S = 2(1250) = 2500
B = 2500
There are 1250 skiers and 2500 snowboarders.
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I understand that the question you are looking is:
The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season passes. The Ratio of the number of skiers who bought season passes is 1:2.If 1,250 more snowboarders bought season passes than skiers, how many skiers bought season passes?
Answer:
Hello
B. 2/7
Step-by-step explanation:
Value of 2/5 is 0.4
i)first case,
=0.4+(-0.4)
=0 Rational number
ii)second case
=0.4+0.28571428571
=0.68571428571 Irrational number
iii)third case
=0.4+5
=5.4 Rational number
iv)fourth case
=0.4+0.5555........
=0.955555....... Rational number
Thus, option B is the answer.
Answer:
x-10
Step-by-step explanation:
we know that
(-x+10) subtracted from 0 is equal to
0 minus (-x+10)
so
0-(-x+10)=0+x-10
=x-10
