2x + x = 60 that is your equation. Simplify it and you get 3x = 60. 60/3 equals 20 so you have 20 boys but multiply it by 2 since you have twice as many girls and you get 40 girls total.
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
Answer:
Step-by-step explanation:
Answer:
2.5 hours
Step-by-step explanation:
<em>Let t = time in hours for reach friend's house
</em>
<em>(t-1.5) = time for friend to drive her home
</em>
:
Both trips are the same distance, Write a distance equation from this fact:
<em>Distance = speed * time
</em>
<em>Drive distance = Bike distance
</em>
<u>Equation-</u>
<u>step1)</u> 25 (t-1.5) = 10t (here u multiply 25 by t and 25 by 1.5)
<u>step2</u>) 25t - 37.5 = 10t (move 37.5)
<u>step3)</u> 25t - 10t = +37.5 (subtract 25t from 10t)
<u>step4</u>) 15t = 37.5 (divide 37.5 by 15)
<u>step5</u>) t = 2.5 (time it took Luke to reach his aunt's house)