Solve the problem by using the counting principle. (: Drapery is sold in 4 different fabrics. Each fabric comes in 13 different patterns. Each pattern is offered in 9 different colors. How many fabric-pattern-color combinations are there?

(A) Product of and is:

(B) Yes.

Product of and = Product of and because multiplication is commutative.

Commutative Property of multiplication says that a.b = b.a.

Thus, multiplication is same irrespective of the order of two numbers.

Answer:

32.5 miles

Step-by-step explanation:

Given that:

Eastbound bus :

0.8 miles every 45 seconds

Speed per second :

0.8 / 45 = 0.0177777 miles per second

Distance after 15 minutes

(15 * 60) * 0.0177777 = 16 miles

Westbound bus:

0.55 miles every 30 seconds

Speed per second :

0.55 / 30 = 0.0183333 miles per second

Distance after 15 minutes :

(15 * 60) * 0.0183333 = 16.5 miles

Distance apart :

16 miles + 16.5 miles = 32.5 miles

METHOD 2:

Distance covered after 15 minutes :

15 minutes = 15 * 60 = 900 seconds

Distance apart after 900 seconds :

[0.8 * (900/45)] + [0.55 * (900/30)]

16 + 16.5

= 32.5 miles

Answer:

$150 = $7.50/hour × t

Step-by-step explanation:

To determine how long it will take Jimmy to earn $150 at a rate of $7.50 per hour, you can set up an equation.

Let "t" represent the number of hours it will take Jimmy to earn $150.

The equation for this situation is:

Earnings = Rate × Time

In this case,

Earnings is $150, Rate is $7.50 per hour, and Time is "t" hours.

So, the equation becomes:

$150 = $7.50/hour × t

Now, you need to solve for "t." To do that, you can divide both sides of the equation by $7.50/hour to isolate "t":

t = $150 / ($7.50/hour)

t = 20 hours

So, it will take Jimmy 20 hours to earn $150 at a rate of $7.50 per hour.

Answer:

7.50x = 150

Step-by-step explanation:

7.50x = 150

x = 150/7.50

x = 20 hours