Okay so you're trying to find the unit rate of 720yds/4min. If you divide 720 by 4 you will have the unit rate as 180yds/1 min or 60 sec then if you divide 180 and 60 by 4 again you will get the answer of 45yds/15sec.

6 0

3 years ago

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city cr

Dmitriy789 [7]

We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8

Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17

Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8

y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2

The trucks' point of intersection is (25/8,9/2)

7 0

2 years ago

A company makes greeting cards and their research shows that that price and demand are related linearly: p=mx +b.They know that

musickatia [10]

Answer:

p = -0.05m + 22

Step-by-step explanation:

As given in question,

The relation between the price and demand can be given by,

p=mx +b

where is p is price and x is demand.

Since in order to sell 300 cards the price has to be fix at $7.

So,

7 = 300m+b <u> </u> (1)

And for every additional card they need to drop the price by $0.05.

So,

7-0.05 = 301m+b

=>6.95 = 301m + b<u> </u> (2)

Subtracting equation (1) from equation (2), we will have

6.95 - 7 = 301m - 300m

=>m = -0.05

By putting the value of m in equation (1), we get

7 = 300.(-0.05)+b

=> b = 22

So, the linear equation that show the relation between price and demand is given by

p = -0.05m + 22

4 0

3 years ago