Answer:
500 pounds
Step-by-step explanation:
Let the pressure applied to the leverage bar be represented by p
Let the distance from the object be represented by d.
The pressure applied to a leverage bar varies inversely as the distance from the object.
Written mathematically, we have:

Introducing the constant of proportionality

If 150 pounds is required for a distance of 10 inches from the object

Therefore, the relationship between p and d is:

When d=3 Inches

The pressure applied when the distance is 3 inches is 500 pounds.
Answer: 35 t shirts
Step-by-step explanation:
Let number of t shirts be x
Let profit made be y
On main street, the store costs $650,
Selling the t shirt at $32 per 1
He would make a revenue of 32x
Profit = revenue - cost accrued
y1 = 32x - 650
On Broad street, the store costs $440,
Selling the t shirt at $26 per 1
He would make a revenue of 26x
Profit = revenue - cost accrued
y2 = 26x - 440
To make same profit on either location
y1 = y2
32x - 650 =26x - 440
32x -26x = -440+650
6x = 210
x = 210/6
= 35 t shirts
The expression representing the volume of the prism is given as:
Volume=[base area]*[height]
base area is the area of the pentagon;
The area of pentagon is given by:
Area of pentagon=a^2ntan(180/n)
a=apothem length
n=number of sides
Area=2.8^2*5tan(180/5)
Area=28.48=28.5 cm^2
Therefore the expression for the volume of the prism with height,h, will be:
volume=28.5h cm^3
40x+30x=315
70x=315
315/70=
4.5 hours
12:00 noon + 4.5 hours = 4:30 pm
Answer:
C
Step-by-step explanation:
y=mx+n m is slope if slopes are perpendicular m1.m2=-1
(2/3) . (-3/2) = -1
m1=2/3
m2=-3/2
y=(2/3)x-3 m=2/3 n= -3
y=(-3/2)x+2 m = -3/2 n = 2