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RUDIKE [14]
3 years ago
10

10. A cruise ship carries 3, 100 passengers, as well as 1,200 crew members. The cruise line wants to build a larger ship that is

capable of carrying 6,000 total people, including both
passengers and crew. If the cruise line wants the ratio of passengers to total people to remain proportional, how many passengers can fit on the larger ship? Round your answer to
the nearest whole number.
Mathematics
1 answer:
Luden [163]3 years ago
4 0

Answer:

Step-by-step explanation:

the answer to this problem is 14

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Help pls I attached a picture
seropon [69]

Answer:

x= 7\sqrt{2}

Step-by-step explanation:

It's a 45 45 90 triangle

The legs are = x while the hypotenuse is x \sqrt{2}.

Therefore the answer is 7\sqrt{2}

8 0
2 years ago
789/548x-89/887=688/8724 find x
Olin [163]

\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}

so:

\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0
3 years ago
29. March sales accounted for 1/7 of the total number of jazz records sold all year. About how many jazz records were sold all y
enot [183]

The March sales of Jazz records is an illustration of proportions, and the number of jazz records sold all year is 7x

<h3>How to determine the total number of sales?</h3>

The sales in March is given as:

Proportion = 1/7

Let the actual number of sales in the month of March be x, and the total sales in the year be y.

So, we have:

1/7 * y = x

Make y the subject

y =7x

Hence, the number of jazz records sold all year is 7x

Read more about proportions at

brainly.com/question/1781657

#SPJ1

8 0
2 years ago
EASYY pls help asappppppppppppp
jeyben [28]

Answer:

its B

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Solve the inequality and express your answer in interval notation<br> x^2+8x+5 &lt;0
irakobra [83]

The interval notation is (-\sqrt{11}-4, \sqrt{11}-4)

Explanation:

The inequality is x^{2}+8 x+5

Let us complete the square, we get,

x^{2}+8 x+5+4^{2}-4^{2}

Simplifying, we have,

(x+4)^{2}+5-4^{2}

(x+4)^{2}-11

Adding both sides of the equation by 11, we get,

(x+4)^{2}

Since, we know that for u^{n} , if n is even then -\sqrt[n]{a}

Thus, writing the above expression in this form, we get,

-\sqrt{11}

Also, if a then a and u

Then ,we have,

-\sqrt{11} and x+4

Solving the inequalities, we get,

-\sqrt{11}\ \ \ \ \ \  and  x+4

Merging the intervals, we have,

-\sqrt{11}-4

Hence, writing the solution in interval notation, we have,

(-\sqrt{11}-4, \sqrt{11}-4)

Therefore, the answer is (-\sqrt{11}-4, \sqrt{11}-4)

7 0
3 years ago
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