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2 years ago

A manatee dives at a rate of 4 feet per second. What integer represents the change in the manatee’s position after 20 seconds?

Mathematics

1 answer:

ruslelena [56]2 years ago

6 0

Answer:

i am just trying so 4 x20=80 feet

Step-by-step explanation:

i am not sure what is an integer i havent learned it yet.

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Angela has the following coins in her pocket:

GaryK [48]

Answer:

There are 10 different combinations

The list of different combinations is:

(10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

(1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

Explanation:

The possible combinations are:

1. Assuming the first coin is 10p:

(10p, 1p)
(10p, 50p)
(10p, 2p)
(10p, 20p)

2. Asuming the first coin is 1p

Do not count (1p, 10p) as it is the same combination as (10p, 1p)

(1p, 50p)
(1p, 2p)
(1p, 20p)

3. Assuming the first coin is 50p:

Do not count (50p, 10p) nor (50p, 1p) as they are the same combinations (10p, 50p) and (1p, 50p) counted earlier:

(50p, 2p)
(50p, 20p)

4. Assuming the first coin is 2p:

The only new combination is:

(2p, 20p)

5. All the combinations with 20p have already been listed.

Therefore:

There are 4 + 3 + 2 + 1 = 10 different combinations

The list of different combinations is:

(10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),

(1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)

7 0

2 years ago

Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h

coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = $15x + 18y$

We have to minimize this cost.

Then, we can write the following inequalities:

$6x + 8y \geq 208\\x \geq 8\\y \geq 8\\$

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0

2 years ago

A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb

hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

0 0

2 years ago

What is the 185th digit in the following pattern 12345678910111213141516

Delicious77 [7]

Answer:

The 185th digit following that pattern of '12345678910111213141516' would be the number '5'

Step-by-step explanation:

The reason the 185th digit is '5' is because the pattern increases it's standard number by the following number (ex, 1,2,3,4,5, etc), and eventually it reached 185 as one of it's numbers, '5' would be the digit because the '18' part of 185 would only be the 184th digit, hence you are needed to include the '5' to complete the sequence of that number to reach the 185th digit.

5 0

2 years ago

Serena wants to determinethe area of the lawn the grass part of her front yard using the information given in the diagram below

vivado [14]

Answer:

The answer is 295 square yards.

Step-by-step explanation:

[48(72-12)-15^2] divide by 9

3456-576-225 divide by 9

Subtract 3456 by 576

2880-255

2655 divide by 9

=295 square yards.

Hope this helped!

7 0

2 years ago