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2 years ago

Express these ratios in their simplest form.

Mathematics

1 answer:

WITCHER [35]2 years ago

8 0

Answer:

5:13

Step-by-step explanation:

The total number of students = 5+8 = 13

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Simplest form<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7D%20%20" id="TexFormula

raketka [301]

$\frac{3}{5}$ - $\frac{3}{8}$ = $\frac{3 * 8}{5 * 8}$ - $\frac{3 * 5}{8 * 5}$ = $\frac{24}{40}$ - $\frac{15}{40}$ = $\frac{9}{40}$

4 0

2 years ago

Please help

nalin [4]

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7 = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

4 0

2 years ago

Which equation can be used to solve for x in the following diagram.

Leokris [45]

I don’t see an attachment for a diagram

6 0

2 years ago

Complete the proof for proving that the diagonals of an isosceles trapezoid are congruent.

Alina [70]

..............................[a+b]2+c2

4 0

2 years ago

Li...

faltersainse [42]

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467 Eqn 1

28x+36y=484 Eqn 2

Multiplying Eqn 1 by 28

$28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 21

$21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912$

Dividing both sides by 364

$\frac{364y}{364}=\frac{2912}{364}\\y=8$

Putting y=8 in Eqn 1

$21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147$

Dividing both sides by 21

$\frac{21x}{21}=\frac{147}{21}\\x=7$

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

2 years ago