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andrew11 [14]
2 years ago
12

Simplify to create an equivalent expression.

Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0

Answer:

9y + 24

Step-by-step explanation:

2(3y + 6) - 3(-4 - y)

= 6y + 12 - 3(-4 - y)

= 6y + 12 + 12 + 3y

= 9y + 12 + 12

= 9y + 24

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densk [106]
The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.

V=HπR^2-3(4πr^3)/3

V=HπR^2-4πr^3  where H=height of can, R=radius of can, r=radius of ball

We are told H=7, R=1.5, and r=1.125  (2.25/2=d/2=r) so

V=7π1.5^2-4π1.125^3

V=15.75π-5.6953125π  in^3

V≈31.58 in^3
5 0
3 years ago
Read 2 more answers
138.4divided by16 show works it possible to show your work
Lorico [155]
Ok done. Thank to me :>

4 0
2 years ago
Unit rate for typing 34 words in a minute in a half
katrin [286]

Answer:

<u>R</u><u>a</u><u>t</u><u>e</u><u> </u><u>i</u><u>s</u><u> </u><u>1</u><u>.</u><u>1</u><u>3</u><u>3</u><u>3</u><u> </u><u>w</u><u>o</u><u>r</u><u>d</u><u>s</u><u> </u><u>p</u><u>e</u><u>r</u><u> </u><u>s</u><u>e</u><u>c</u><u>o</u><u>n</u><u>d</u><u> </u>

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

{ \green{ \tt{rate = \frac{item \: quantity}{time}  }}} \\

Let's find rate in terms of seconds (words per second)

{ \rm{rate =  \frac{34 \: words}{ (\frac{1}{2} \times 60)  \: seconds} }} \\  \\ { \rm{rate =  \frac{34}{30} }} \\  \\ { \rm{rate = 1.133 \:  \: words \: per \: second}}

6 0
1 year ago
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.
Irina18 [472]

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

3 0
2 years ago
A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
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