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Rufina [12.5K]
3 years ago
5

A novelist can write 2 1/4 pages in 3/4 hours. EXPRESS HER WRITING SPEED AS A UNIT RATE

Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:1/30 page per minute

Step-by-step explanation:

2 1/2 pages =3/2 pages.

3/4 hrs=45 minutes

Hence the number pages he can type per minute =3/2 pages/45 minutes=3/2×1/45=1/30page per minute

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A cube has a volume of 216cm³ what is the side length of the cube​
ludmilkaskok [199]

Answer:

The side length of  the cube is 6 cm

Step-by-step explanation:

The volume of a cube is given by

V = s^3

We know the volume is 216

216 = s^3

Take the cube root of each side

216 ^ (1/3) = s^ (1/3)

6 = s

The side length of  the cube is 6 cm

5 0
3 years ago
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A company makes t-shirts and their research shows that that price and demand are related linearly: p = mx + b. They know that in
loris [4]

Answer:

P= -2x +46

Step-by-step explanation:

the relation between price and demand is

P= mx +b ........................1

when demand is 10 shirts price is $26

when demand is 20 shirts price is $6

firstly put P= 26 and x= 10 in 1

26= 10m + b.......................2

secondly put x= 20 and P= 6 in 1

6= 20m + b ............................3

solving  2 and 3 we get

m = -2

putting this value of m in either of 2 and 3 to get b

b= 46

so the final relation obtained by putting m= -2 and b= 46 in 1 we get

P= -2x +46

4 0
3 years ago
Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,
mel-nik [20]

Answer: 120 lb of potatoes.

Step-by-step explanation:

Let the pounds of potatoes sold by farmer Bill      = X lb

Fractional part sold to the first person                    = 1/4

Therefore 1/4 of X                                                      = 1/4  x X

                                                                                    = X/4 lb of potatoes.

No of potatoes left for sale                                        = X - X/4

                                                                                    = ( 4x - x )/4

                                                                                    = 3x/4 lb.

Fractional part sold to the second person out of the reminder = 4/9

Therefore 4/9 of 3x/4                                                 = 4/9 x 3x/4

                                                                                    = x/3 lb of potatoes.

Amount of potatoes left for sale                               = 3x/4 - x/3

Resolve into fraction , we have                                 = (9x - 4x)/12, because 12 is the LCM.

                                                                                    = 5x/12

Third buyer bought 4/5 of the left over                    = 4/5 of 5x/12

                                                                                   =   x/3 lb of potatoes.

Amount  of potatoes left                                           =   5x/12 - x/3

Resolve in to fraction again  taking 12 as the LCM =   ( 5x - 4x )/12

                                                                                   = x/12 lb of potatoes .

Therefore, the left over was 10 lb .

To determine the value of x now which correspond to the amount of potatoes sold by Farmer Bill, we shall the equate the left to  x/12 = 10                                                                                                                

we now cross multiply to get the value of x                             x = 120 lb.

therefore the pound of potatoes sold by farmer Bill  = 120 lb.                                        

                                                                                 

4 0
2 years ago
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3 years ago
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Estimate the quotient and then solve 13.2 ÷ 6 = ________.
Oksanka [162]

Answer:

2.2

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