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Leviafan [203]
3 years ago
6

people are waiting in line for a theatre premiere every 5th person in line will receive a free theater ticket every 6th person w

ill receive a gift card for $40 which person is the first to receive both prizes
Mathematics
1 answer:
levacccp [35]3 years ago
5 0

List out the multiples of each number (5 and 6). I'm going to list out ten multiples of each.

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

Note how 30 is the smallest number that shows in both lists. So the lowest common multiple (LCM) of 5 and 6 is 30

As a shortcut, you can multiply 5 and 6 to get 30. This trick only works if there are no other common factors between 5 and 6 (factors other than 1)

<h3>Answer: The 30th person will be the first person to get both prizes.</h3>
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A and B are two points on square ABCD with coordinates A(1,3) and B(5,3). What are the lengths of the diagonals AC and BD? Round
lilavasa [31]

Answer:

AC = BD = 5.7

Step-by-step explanation:

Given

A = (1,3)

B = (5,3)

Required

The length of the diagonals

First, calculate the length of AB using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

AB = \sqrt{(1 - 5)^2 + (3 - 3)^2}

AB = \sqrt{(-4)^2 + 0^2}

AB = \sqrt{16}

AB = 4

The diagonal of a square is calculated using:

Diagonal = x\sqrt{2

Where x is the length of each side.

So:

AC = BD = AB\sqrt{2}

AC = BD = 4\sqrt{2}

AC = BD = 5.7 -- approximated

7 0
3 years ago
Which inequality is true?<br> 2/5&lt;7/12<br> 2/3&lt;1/8<br> 1/4&gt;7/10<br> 3/10&gt;5/8
mr_godi [17]

Answer:

2/5<7/12 is true

Step-by-step explanation:

2/5 multiply the numerator and denominator by 12 you get 24/60

7/12 multiply the numerator and denominator by 5 you get 35/60

24/60 IS less than 35/60                                    

8 0
3 years ago
Read 2 more answers
use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please
sukhopar [10]

Answer:

L = 36 yd

Step-by-step explanation:

Given the area of a rectangle of 1044 yd², and a width of 29 yards:

Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):

A = L × W

where:

A = area of a rectangle = 1044 yd²

L = length of a rectangle

W = width of a rectangle = 29 yd

<h3><u /></h3><h3><u>Solution:</u></h3>

Divide both sides by W to isolate L:

\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}

\displaystyle\mathsf{L\:=\frac{A}{W}}

Substitute the values for the area and the width of a rectangle:

\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}

L = 36 yd

Therefore, the <u>length</u> of a rectangle is 36 yards.

3 0
3 years ago
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hram777 [196]

Answer:

x = \frac{y-b}{m}

Step-by-step explanation:

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y = mx + b ( isolate the term in x by subtracting b from both sides )

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