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Reika [66]
2 years ago
8

2 2/5 multiplied by 2 multiplied by 3 1/5

Mathematics
2 answers:
goldfiish [28.3K]2 years ago
8 0

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

​

×2×3

5

1

​

2 Simplify  2\times 52×5  to  1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

​

×2×3

5

1

​

3 Simplify  10+210+2  to  1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

​

×2×3

5

1

​

4 Convert 3\frac{1}{5}3

5

1

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

​

×2×

5

3×5+1

​

5 Simplify  3\times 53×5  to  1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

​

×2×

5

15+1

​

6 Simplify  15+115+1  to  1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

​

×2×

5

16

​

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

​

8 Simplify  12\times 212×2  to  2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

​

9 Simplify  24\times 1624×16  to  384384.

\frac{384}{5\times 5}

5×5

384

​

10 Simplify  5\times 55×5  to  2525.

\frac{384}{25}

25

384

​

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

​

joja [24]2 years ago
8 0
2 2/5 times 2 times 3 1/5= 24/25
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If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30
irina [24]

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

   N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

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a) X = {e , i , g , h , t , y}

   W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

a)

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b)

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

   than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

  26 , 28 , 36 , 49 , 64 , 81}

a)

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

b)

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

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Serhud [2]

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

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A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the students, Sandra,
nata0808 [166]

Answer:

What is P(A), the probability that the first student is a girl? (3/4)

What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)

What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)What is P(A and B), the probability that the first student is a girl and the second student is a girl? (1/2)

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For each ordered pair, determine whether it is a solution to the system of equations.
-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

  • For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

  • For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

  • For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

  • For  (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

#SPJ1

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1 year ago
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