All categories

2 years ago

Colton read 21 1/4 pages in 1 1/4 hours. If he continues reading at the

Mathematics

1 answer:

True [87]2 years ago

4 0

Answer:

1,020

Step-by-step explanation:

First step.

Since he can read 21 1/4 pages in 1 and 1/4 hour then we got to know how many pages he can read in one hour right? so we need to divide.

Second step.

So we will need to divide 21 1/4 divided by 1 and 1/4 which will give us 17 which is the pages he will read in one minute.

Third step.

After you get that then we multiply it by the hour which is 60 minutes in an hour so,

60 x 17 = 1,020

Which gives us the answer

Hope that helps =）

You might be interested in

Stephen is making curtains for several windows in his aunt’s house. He determines that he needs 8.5 yards of fabric for each win

bogdanovich [222]

Answer: x which is the windows

7 0

3 years ago

How would you write the absolute value of 5.23

posledela

The absolute value of
5.23 = l5.23l

4 0

2 years ago

What is 2/3 + 3/4 + 5/6 + 4/8 + 3/12 + 3/2

Stella [2.4K]

Answer:

9/2

Step-by-step explanation:

2/3 + 3/4 + 5/6 + 4/8 + 3/12 + 3/2 =

= 16/24 + 18/24 + 20/24 + 12/24 + 6/24 + 36/24

= 108/24

= 54/12

= 9/2

3 0

2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

If a number is positive, then it is a whole number and an integer.

GaryK [48]

Answer:

c then d my man I got you maybe

4 0

2 years ago