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gulaghasi [49]
3 years ago
9

what is the simplified form of 3abc/abc, when abc doesn't equal 0? explain using the properties of real numbers.

Mathematics
2 answers:
BARSIC [14]3 years ago
3 0

  \frac{3 x A x B x C}{A x B x C}

= 3 · \frac{A}{A} · \frac{B}{B} · \frac{C}{C}  

= 3 · 1 · 1 · 1  

= 3

Multiplicative Identity states that any time you multiply a number by 1, the result is the original number.

nikklg [1K]3 years ago
3 0

Answer:

3

Step-by-step explanation:

We are given that \frac{3abc}{abc}

where abc does not equal to zero.

We have to find  simplified of given fraction using properties of real numbers

\frac{3abc}{abc}

=\frac{3\cdot 1}{1}

abc in numerator and denominator are cancel out to each other.

\frac{3abc}{abc}=3\times 1=3

When a number is multiplied by 1 then we get a number itself.It is identity property of multiplication.

Hence, \frac{3abc}{abc}=3

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1/2 to the 2nd power in fraction form
Rzqust [24]

Answer:  \frac{1}{4}

Work Shown:

\left(\frac{1}{2}\right)^2 = \left(\frac{1}{2}\right)*\left(\frac{1}{2}\right) = \frac{1*1}{2*2} = \frac{1}{4}

5 0
1 year ago
Suppose z is proportional to the square root of x. If z = 717 when x = 9, find the proportionality constant k.??
Dahasolnce [82]

Answer:

  239

Step-by-step explanation:

Write the equation. Fill in the given values, and solve for the unknown,

  z = k√x

  717 = k√9

  k = 717/3 = 239

The constant of proportionality is 239.

8 0
2 years ago
Read 2 more answers
Emily and Kate were at a cheerleading competition this fall.They cheered 12 rounds. Each round lasted 8.24 minutes. Calculate th
trapecia [35]

Answer:

98.88

Step-by-step explanation:

Given: They cheered 12 rounds. Each round = 8.24

To find the total number, multiply how much one round is with the total number of rounds.

  8.24

×     12

-----------

  1648

+ 8240

----------

98.88

Each girl cheered 98.88 minutes. If you need this estimated, the answer would be 99 minutes.

4 0
3 years ago
Solve the equation for the indicated variable.<br>1. y= 3/8 (x+4) for x​
madam [21]

Answer:

x=8y/3-4

Step-by-step explanation:

What we have to do to solve for X into re arrange the equation so that X is by itself on one side of the equation.  To start we will divide both sides by 3/8 to move it away from the X side and we get

8y/3=x+4 then we will subtract both sides by 4 to get x all by itself

8y/3-4=x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0
3 years ago
Read 2 more answers
Please helpppppp
melomori [17]

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually  = n = 2

Interest rate = i = 6.5%  

Required Information

Accumulated amount  = A = ?

Answer:

Accumulated amount  = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where  

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

6 0
3 years ago
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