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vitfil [10]
3 years ago
14

The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b

est way to interpret the remainder of 37 ÷ 8 so that all cars can cross the harbor? * Ignore the remainder? Add 1 to the quotient? Just use the quotient? Just use the remainder?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

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Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of 30 square feet. How long can
gregori [183]
It can be at least 5.4 feet long since the area of a square is A=s^2. 5.4 times 5.4 is 30
6 0
3 years ago
Find the number of all 20 digit integers in which no two consecutive digits are the same
Arturiano [62]
For the first digit of the required 20-digit number, we can have 9 choices for the number, those are the digits 1 to 9. In the second digit of the number, we will only have 8 choices. That is because, we don't want to write a number in the second digit that is similar to the first digit and the third digit.

Similarly, in the third digit's place, we will only have 8 choices because we do not want the digit to be similar to the second digit and the fourth digit. This will go on up until the 19th digit. In the 20th digit, we will also have 9 choices (from 0-9) but we do not want the digit to be similar to the 19th digit. 

From the explanation given above, we have the number of ways,

    n = 9 x 8^(19 - 1) x 9  = 1.459 x 10^18

<em>ANSWER: 1.459 x 10^18</em>
5 0
3 years ago
WILL GIVE BRAINLIEST!!! Given tan(theta) = 4/3 and pi &lt; theta &lt; (3pi)/2, find cos(2theta).
babymother [125]

Answer:  \cos 2 \theta = \dfrac{-7}{25}

Step-by-step explanation:

Given: \tan \theta = \dfrac{4}{3}  and  \pi < \theta< \dfrac{3\pi }{2}

To find: \cos 2 \theta

Now as we know

\cos 2x = \dfrac{1- \tan ^2 x}{1+ \tan ^2 x}

So we have

\cos 2 \theta = \dfrac{1-(\dfrac{4}{3} )^2}{1+(\dfrac{4}{3} )^2} \\\\\Rightarrow \cos 2 \theta = \dfrac{1- \dfrac{16}{9} }{1+ \dfrac{16}{9} } = \dfrac{\dfrac{9-16}{9} }{\dfrac{9+16}{9}} = \dfrac{-7}{25}

Therefore d. is the correct option

Hence , \cos 2 \theta = \dfrac{-7}{25}

3 0
3 years ago
Read 2 more answers
Please solve if so thank you
Advocard [28]

Answ#$%^&* Im just joking but is that the hole Question thank you

Step-by-step explanation:

6 0
3 years ago
Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that
natta225 [31]

Answer:

The problem is stated as:

Min C = 15*(2*x +y) + 21*y

subject to x*y = 450

Step-by-step explanation:

Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:

A = x*y = 450

One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:

C = 15*(2*x +y) + 21*y

5 0
3 years ago
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