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docker41 [41]
3 years ago
15

A room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet. Write a simplified expression for the volume (

in cubic feet) of the room.
Volume = ft3
Mathematics
2 answers:
34kurt3 years ago
6 0

Answer: Volume =180x\ ft^3

Step-by-step explanation:

We know that the volume of a rectangular prism is given by :-

V=length\times width \times height

Given : A room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet.

Then, the volume of a rectangular prism will be :-

V=15\times x\times12\\\\\Rightarrow\ V=15\times12\times x\\\\\Rightarrow\ V= 180x

Hence, the simplified expression for the volume (in cubic feet) of the room will be : 180x\ ft^3

zloy xaker [14]3 years ago
5 0
180x feet^3

this is the answer because volume is lwh so 15 x 12 x x is 180x the labeled is 180x ft.^3
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I WILL GIVE FIRST ANSWER BRAINLIEST
Ostrovityanka [42]

Answer:

1) Papa Ron's(60$ per shift)

2) Little Squeezer's(3$ per pizza)

3) Little Squeezer's

Explanation:

1) A shift's pay is money given for simply entering the workplace(at least in this problem!) So it would be money given whether Tony has delivered pizzas or not. It would be numerically equal to his pay when he doesn't deliver any pizzas.

Bombino's offers 56$ per shift(stated in Q),

Little Squeezer's offers 48$ when he has delivered no pizzas, thus it must be his pay per shift.

Pizza Tent offers 52$ when he has delivered zero pizzas(substitute  

p

=

0

in the given function S)

The graph shows that Papa Ron's offers 60$ when no pizzas are delivered. This is clearly the best pay per shift. (when  

x

=

0

,  

y

=

60

)

2) Bombino's: 2.5$ per pizza(stated)

Little Squeezers gives 6$ more than his default pay(which he would get even if he didn't deliver anything) when Tony has delivered 2 pizzas. Thus it gives 3$ per pizza.

Pizza Tent gives 2.75$ per pizza. This can be inferred from S.

S

=

2.75

p

+

52

Here, 52 is his default pay. He gets 2.75$ for each pizza delivered, as it is the coefficient of  

p

.

Papa Ron's pay per pizza can be calculated by finding the slope of the line in the graph.  

S

l

o

p

e

=

R

i

s

e

R

u

n

Here, I take the points (64, 2) and (60, 0).  

S

l

o

p

e

=

64

−

60

2

−

0

Thus the pay is 2$ per pizza delivered. For simplicity, I will define Papa Ron's pay as a function  

R

=

2

p

+

60

(Notice that 2 is the slope and 60 is the base pay)

Clearly, Little Squeezer's offers the most per pizza.

3) To figure this question out, we will need to find pay when Tony delivers 20 pizzas for each restaurant.

Bombino's pays  

56

+

2.5

(

20

)

=

106

$

Little Squeezer's pays  

48

+

3

(

20

)

=

108

$

Pizza Tent pays  

52

+

2.75

(

20

)

=

107

$

Papa Ron's pays  

60

+

2

(

20

)

=

100

$

So, Little Squeezer's is the company that pays best when Tony is delivering over 19 pizzas.

(This is a long question, I may have made a mistake. Please correct me if that is the case.)

Step-by-step explanation:

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