Answer:
bus = 43
van 12
Step-by-step explanation:
This can be solved using simultaneous equations
Let v represent the number of students that a van carries
Let b represent the number of students that a bus carries
the following equations can be derived from the question
3v + 2b = 122 eqn 1
5v + 3b = 189 eqn 2
Multiply eqn 1 by 5 and eqn 2 by 3
15v + 10b = 610 eqn 3
15v + 9b = 567 eqn 4
Subtract equation 4 from 3
b = 43
Substitute for b in equation 1
3v + 2(43) = 122
solve for v
v = 12
Answer:
25%
Step-by-step explanation:
Let the original price of A pair of skis be $100
discount given on A pair of skis = 20% on original price
discount value of A pair of skis in $ = 20% * $100
= (20 * 100)/100 = $20
discounted price of A pair of skis = original price - discount = 100 -20 = $80
in order to increase discounted price to original price of $100
there must be increase of $20 to discounted price which is $80
percentage increase on discounted price to return to the original price =
therefore 25% must be increase on discounted price to return to the original price
Answer:
y=x-4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
m = (1--9)/(5--5)
m = (1+9)/(5+5)
= 10/10
= 1
The slope is 1
We have the slope and a point,so we can use point slope form
y-y1 = m(x-x1)
y-1 = 1(x-5)
y-1 = x-5
Add 1 to each side
y-1+1 = x-5+1
y=x-4
This is slope intercept form (y= mx+b)
Answer:
DE = 55
Step-by-step explanation:
As you can see from the red marks showing that the lengths of each triangle are the same, it must also be true that E is equal to 55.
Answer:
-1/8 > x
Step-by-step explanation:
Rewrite the equation to -1 > 8x, so -1/8 > x
Dot -1/8 on the number line, and everything on the left of that point( if right is positive ) is x .
