Answer:
56
Step-by-step explanation:
Firstly, we know she sold 24 hot dogs at half price. We do not know the total number of hot dogs.
Secondly, we know that 30% of the hot dogs were sold at half of the price. This means 70% were sold at full price.
Now there are two approaches to this. I'm going to take the easier one.
What we are expressing mathematically is that 30% of a certain number equals 24. Let the total number of hot dogs she had that day at her stand be x.
This mean 30% of x = 24.
30/100 × x = 24
30x = 24× 100
30x = 2,400
x = 2,400/30 = 80.
This means she had a total of 80 hot dogs that day. Since we know the number she sold at half price, it's now easy to calculate the number she sold at full price.
This number now equals 80 - 24 = 56 hot dogs.
This mean Mandy sold 56 hot dogs at full price.
Area= length*width
width=W
W*(3W-4)=615
3W^2-4W=615
3W^2-4W-615=0
W=41
W=-45
But W cant be a negative number so it is 41m (width)
The length is (41*3)-4=119m (length)
Answer:
This should help
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
Given points P=(2,6) and Q=(4,5)
The line RS is y=2x-3.
Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m=
Now the slope of the line PQ is
m1=
= -
We know that the slope of the line in the form y=mx+c is m
So the line RS has slope m2=2
Now two lines are parallel if m1=m2
And those two lines are perpendicular if 
here m1= - and m2=2
clearly
Therefore the two given lines are perpendicular
Step-by-step explanation:
all work is shown and pictured
