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4 years ago

How do you write 7.1 as a mixed number in simplest form

Mathematics

2 answers:

balu736 [363]4 years ago

7 0

7.1 = 71/10
simplest form: 7 1/10

RUDIKE [14]4 years ago

4 0

It is 7 1/10. Think of Numerator over Denominator or N/D.
this would then equal 71/10.
With this being stated you remove the decimal out of the tenth's place
so in a round about way you get 7 and 1/10 as simple as can be.

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

Which ratio forms a proportion with 9/15 ? a. 3/6 b. 2/3 c. 12/30 d. 6/10

Veronika [31]

I am pretty sure it is (a) because 9 and 15 and 3 and 6 can be all divided by 3

4 0

3 years ago

If f(x) =3x2 and g(x)=4x3+1, what the degree of (f•g)(x)? 2 3 5 6

atroni [7]

f(x) = 3x²

g(x) = 4x³ + 1

f(g(x)) = 3.(4x³ + 1)²

As we know

(a + b)² = a² + 2.a.b + b²

So,

(4x³ + 1) = (4x³)² + 2.4x³.1 + 1² = $4x^6+8x^3+1$

f(g(x)) = 3.( $4x^6+8x^3+1$ )

The degree is the maximum exponent, so, 6.

4 0

4 years ago

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pishuonlain [190]

Answer:

25,26,27

Step-by-step explanation:

n +(n+1)=(n+2)+24

2n+1=n+26

n=26-1=25

3 integers=25, 26, 27

8 0

3 years ago

The mapping diagram shows a functional relationship.

kirill [66]

Answer:f(4)=1/2

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3 years ago

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