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amid [387]
3 years ago
7

The square below represents one whole.

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

Fraction: 23/100

Decimal: .23

Percent: 23%

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Write the 5th term in the expansion of (5x-y/2)^7
Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0
2 years ago
What is the solution to this system of linear equations 2x+y=1 and 3x-y=-6
nikklg [1K]
2x + y = 1
3x - y = -6
---------------add
5x = -5
x = -5/5
x = -1

2(-1) + y = 1
-2 + y = 1
y = 1 + 2
y = 3

solution is (-1,3)
8 0
2 years ago
Which algebraic expression represents “ six less than a number “
nevsk [136]

Answer:

x-6

Step-by-step explanation:

i believe this is correct.

7 0
2 years ago
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Seamus plays outside for five and five sixths hours every week. He has already played outside for four and three sixths hours. H
Ira Lisetskai [31]
I think it’s C because I did have this question but I’m not sure
5 0
3 years ago
The second statement is the ____ of the first.
iren [92.7K]

Answer:

A. Converse

Step-by-step explanation:

The statement x=y and y=z is a

converse relation

In logic, there are different types of relation which includes

1. Inverse

2. Contrapositive inverse

3.converse

The converse is created by switching the hypothesis and conclusion just like the example given.

7 0
3 years ago
Read 2 more answers
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