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denis23 [38]
3 years ago
9

Expressions in 1 variable If Z=135. 1/3 z+10?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

55

Step-by-step explanation:

We are given the expression:

1/3z+10

We also are given z=135. Since z is equal to 135, we can substitute 135 in for z.

1/3(135)+10

Now, solve according to PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

Multiply 135 by 1/3, or divide 135 by 3.

45+10

Add 45 and 10

55

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Vikentia [17]
C. Your Answer Is 4. Which Is C


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3 years ago
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Which is equivalent to V180x11 after it has been simplified completely?
inna [77]

Question:

Which is equivalent to \sqrt{180x^{11}} after it has been simplified completely?

Answer:

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

Step-by-step explanation:

Given

\sqrt{180x^{11}}

Required

Simplify

We start by splitting the square root

\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}

Replace 180 with 36 * 5

\sqrt{180x^{11}} = \sqrt{36 * 5} *  \sqrt{x^{11}}

Further split the square roots

\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} *  \sqrt{x^{11}}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{11}}

Replace power of x; 11 with 10 + 1

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10 + 1}}

From laws of indices; a^{m+n} = a^m * a^n

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x^1}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x}

Further split the square roots

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10}} * \sqrt{x}

From laws of indices; \sqrt{a} = a^{\frac{1}{2}}

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{10*\frac{1}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{\frac{10}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{5} * \sqrt{x}

Rearrange Expression

\sqrt{180x^{11}} = 6 *  x^{5} * \sqrt{5} * \sqrt{x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}

From laws of indices; \sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}

So, we have

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

<em>The expression can no longer be simplified</em>

Hence, \sqrt{180x^{11}} is equivalent to 6x^{5}\sqrt{5x}

7 0
2 years ago
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torisob [31]
Expected is -3
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5 0
2 years ago
Solve the equation below. Pls include work<br><br><br><br> 28.10 = 15.5 + 5x
madreJ [45]

Answer:

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Step-by-step explanation:

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divide both sides by 5

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5 0
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When working overtime, an auto mechanic gets paid 1.5 times the normal hourly wage. Overtime is the amount of time worked beyond
DedPeter [7]
So

x=hours
y=pay

use a piecewise function maybe

for x≤40, use y=21x


for x>40, use 840+1.5(21(x-40))


k, sso 46>40 so

840+1.5(21(46-40))
840+1.5(21(6))
840+1.5(126)
840+189
1029



A. 840+1.5(21(x-40))
B. $1029
7 0
2 years ago
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