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3 years ago

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In two hours Ron read 60 pages of a novel. If the book is 240 pages long, what is the total time that Ron will read at that rate

?

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer: 4 hours

Step-by-step explanation: you have to divide 240 by 60 which is 4

If this is too hard for you remember you can divide 24 by 6 and get the same answer hope this helps mark me brainliest if it helped

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Evaluate, and round your answer to the nearest hundredth.

VashaNatasha [74]

Answer:

(d) -1.83

Step-by-step explanation:

The explicit expression for the sum is ...

S = (-11/5)×(1 -(-1/5)^10)/(1 -(-1/5)) = -2.2(1 -1.024×10^-7)/1.2

S = -1.8333331456

The sum is approximately -1.83.

_____

<em>Additional comment</em>

For a sum of a sequence with multiplier 'a' and common ratio r, we find ...

$\displaystyle S=\sum_{n=1}^{10}ar^n=ar+ar^2+ar^3+\dots+ar^{10}\\\\rS=ar^2+ar^3+\dots+ar^{10}+ar^{11}\\\\S-rS=ar+(ar^2-ar^2)+(ar^3-ar^3)+\dots+(ar^{10}-ar^{10})-ar^{11}\\\\S=\dfrac{ar-ar^{11}}{1-r}=ar\dfrac{1-r^{10}}{1-r}$

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A calculator or spreadsheet can also find the sum for you.

7 0

2 years ago

The product of 3 and y decreased by 7

Andreyy89

The expression looks like: 3y-7

4 0

3 years ago

The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

<u>Given</u>:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

<u>Height of the Cone:</u>

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

<u>Volume of the cylinder:</u>

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

<u>Volume of the cone:</u>

The formula to determine the volume of the cone is

$V=\frac{1}{3} \pi r^2 H$

Substituting $H=2h$ , we get;

$V=\frac{1}{3} \pi r^2 (2h)$

$V=\frac{2}{3} \pi r^2 h$

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0

3 years ago

Ken uses pattern blocks to make a design. He puts 5 pattern blocks together, as shown in the diagram.

Len [333]

Answer:

60

Step-by-step explanation:

divide 120 by 4 you get 30 then multiply 30 by 2

3 0

2 years ago

A physical therapist is scheduling appointment for the day. She has six workers comp cases six Medicare patients awaiting care.

Molodets [167]

Answer:

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

Step-by-step explanation:

Number of worker’s comp cases = 6

Number of Medicare patients = 6

Total number of people = 6 + 6 = 12

Total number of ways of selecting 7 people from 12 people = 12C7

Total number of ways of selecting 7 people from 12 people = $\frac{12!}{(12-7)!7!}$

Total number of ways of selecting 7 people from 12 people = 792 ways

Number of ways of selecting 3 worker's comp cases = 6C3

Number of ways of selecting 3 worker's comp cases = $\frac{6!}{(6-3)!3!}$

Number of ways of selecting 3 worker's comp cases = 20 ways

Number of ways of selecting 4 Medicare patients= 6C4

Number of ways of selecting 4 Medicare patients = $\frac{6!}{(6-4)!4!}$

Number of ways of selecting 4 Medicare patients = 15 ways

Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792

Pr(3worker's comp cases and 4 Medicare patients) = 300/792

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

4 0

3 years ago