All categories

3 years ago

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

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

7 0

Answer:

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

You might be interested in

Simplify 7 + (−3). a. −10 b. −4 c. 4 d. 10

Vikentia [17]

C. Your Answer Is 4. Which Is C

3 0

3 years ago

Read 2 more answers

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

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

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

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

The expression can no longer be simplified

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

7 0

2 years ago

Read 2 more answers

Help fast!!!

torisob [31]

Expected is -3
Expect to lose $3… bad game right there!

5 0

2 years ago

Solve the equation below. Pls include work 28.10 = 15.5 + 5x

madreJ [45]

Answer:

2.52

Step-by-step explanation:

5x + 15.5 = 28.1

subtract 15.5 from both sides

5x = 12.6

divide both sides by 5

x = 2.52

5 0

2 years ago

Read 2 more answers

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