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3 years ago

What is the quotient of: 25.2 divided by 0.72

Mathematics

1 answer:

velikii [3]3 years ago

8 0

Answer:

The quotient is 35.

Step-by-step explanation:

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hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and

Mariulka [41]

Given:

The equation is,

$2\log _3x-\log _3(x-2)=2$

Explanation:

Simplify the equation by using logarthimic property.

$\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{ \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}$

Simplify further.

$\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}$

Solve the quadratic equation for x.

$\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}$

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

For (x - 3) = 0,

$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

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10 months ago

Write a number that has a hundreds digit that is greater than its tens digit

PIT_PIT [208]

210, 310, 320, 410, 420, etc.

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2 years ago

Mikel walks down 5 flights of stairs . each flight has 8 steps. which describes mikel's descent

Ludmilka [50]

Answer:

40 steps downwards

Step-by-step explanation:

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2 years ago

I need help with this... plz

Artemon [7]

Answer: 11,600

you multiply 58,000 by 0.8 and you’d get 46,400. then you would subtract that number by 58,000 to get the answer of 11,600.

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2 years ago

COLLEGE PREP In the diagram, mLAGC = 38°, m/CGD=71°, and m/FGC = 147 °. Which of the following

Cerrena [4.2K]

The statements that are true are:

A. m<AGB = 19°

D. <BGD is a right angle

<h3>What is a Right Angle?</h3>

A right angle is an angle that measures 90 degrees.

Given the diagram, where:

m<AGC = 38°,

m<CGD = 71°,

m<FGC = 147°

We have the following measures:

1/2(m<AGC) = m<AGB

1/2(38) = 19°

m<CGD + m<AGC = m<BGD

Substitute

71 + 19 = m<BGD

90 = m<BGD

m<BGD = 90° [this is a right angle].

Therefore, the statements that are true are:

A. m<AGB = 19°

D. <BGD is a right angle

Learn more about right angle on:

brainly.com/question/64787

#SPJ1

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1 year ago