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Question

Use the indicated property to write an expression that is equivalent to the following expression.
(9 • 0) •17 (associative property of multiplication)

An electronics store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship.

A consultant traveled 4 hours to attend a meeting. The return trip took only 3 hours because the speed was 8 miles per hour faster. What was the consultant's speed each way?

Answer 1

Answer 3:
Let distance be d
The initial speed = x
Initial time = 4 hours
The return speed = x + 8
Return time = 3 hours

Distance = Speed * time
d = 4x

Also, using the same formula,
d = 3(x + 8)

distance traveled is always the same. So,

4x = 3(x + 8)
4x = 3x + 24
x = 24
x + 8 = 32

He travelled at 24 miles an hour to attend the meeting and at 32 miles an hour to go back

Answer 2

1. Use the indicated property to write an expression that is equivalent to the following expression.
(9 • 0) •ï€ 17 (associative property of multiplication)

That just means that you can put the numbers in any order that you want and it'll still come out to the same answer. For example, 5 X 1 X 3 will always equal 15, regardless of the order of the 5, 1, and 3. So, possible answers include:

(9 X 17) X 0
(17 X 0) X 9
(0 X 17) X 9

...etc...

2. An electronics store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship.

3(V) = D

That is, 3 orders of VHS's will equal 1 order of DVDs. OR, they may want to know that:

V < D

meaning that the number of videos is LESS THAN the number of DVDs.

3. A consultant traveled 4 hours to attend a meeting. The return trip took only 3 hours because the speed was 8 miles per hour faster. What was the consultant's speed each way?

Distance = Speed X Time

Distance = (X)(4)
Speed on way back = X + 8
Time on way back = (4)(X)/(X + 8) = 3

Now you want to get that denominator OUTTA there, so you multiply both sides by it, giving you:

(4)(X) = 3(X + 8)

Distribute and you get:

4X = 3X + 24

Combine like terms and you get:

x = 24

Add 8 to that sucker, and you'll end up with 32. So that turtle, slow-poke driver went 24 mph to the meeting, and then realized his wife was cheating on him and picked up the pace, going 32 mph back home, only to catch her mid-smooch with another man! Oh no! Make sure you include that scenario in your answer, because it'll give you extra credit.

Oh, and pick me for best answer please! Thanks!

Answer 3

1) Answer Equivalent to 9x(0x17)


2) DVD - 3xVHS > 0 is one form of the inequality relationship

3) Let x be his speed on his way to the meeting (miles/hr)

Distance = 4x miles
Speed on way back was x+8 miles/hr
Time on way back = 4x/(x+8) = 3 hrs
solving, 4x = 3x + 24, therefore x = 24 miles/hr

Speeds: To the meeting = 24 miles/hr, Return = 32 miles/hr

Answer 4

1. 9*(0*17)
2. DVD>=3*VHS
3.v= s/t where v-speed, s- distance, t-time
let x be the speed to the meeting
x=s/4
x+8=s/3
from 1 we have s=4x, substitute in two and you get
x=24 and 32