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3 years ago

9

Can you work out these in standard form

1 answer:

inysia [295]3 years ago

4 0

A. 1.6 x 10^-6
B. 2 x 10^7

^ = to the power of

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2p/9+5p/18-5/6=2/3+p/12+1/6

Murljashka [212]

$\frac{2p}{9} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}$
$\frac{4p}{18} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}$
$\frac{9p}{18} - \frac{5}{6} = \frac{4}{6} + \frac{1}{6} + \frac{p}{12}$
$\frac{p}{2} - \frac{5}{6} = \frac{5}{6} + \frac{p}{12}$
$\frac{p}{2} - \frac{5}{6} + \frac{5}{6} = \frac{5}{6} + \frac{5}{6} + \frac{p}{12}$
$\frac{6p}{12} = 1\frac{2}{3} + \frac{p}{12}$
$\frac{6p}{12} - \frac{p}{12} = 1\frac{2}{3} + \frac{p}{12} - \frac{p}{12}$
$\frac{12}{5} * \frac{5p}{12} = 1\frac{2}{3} * \frac{12}{5}$
$p = 4$

7 0

3 years ago

Evaluate the expression x^3+x^2 for x=4

olchik [2.2K]

Answer: 15

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which linear relationship can be described as a function with direct variation?

Alina [70]

A line passing through the origin.

5 0

3 years ago

Read 2 more answers

Solve this in distributing -(5.3x-7y)-9.6

algol13

Answer:

$-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y$

Step-by-step explanation:

Given the expression

$-\left(5.3x-7y\right)\times \left(-9.6\right)$

$=-\left(-9.6\right)\left(5.3x-7y\right)$

Apply distributive law

$a\left(b-c\right)=ab-ac$

$a=-\left(-9.6\right),\:b=5.3x,\:c=7y$

so the expression becomes

$=-\left(-9.6\right)\times \:5.3x-\left(-\left(-9.6\right)\right)\times \:7y$

$=-\left(-9.6\right)\times \:5.3x+7\left(-9.6\right)y$ ∵ $-\left(-a\right)=a$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a$

$=9.6\times \:5.3x-7\times \:9.6y$

$=50.88x-7\times \:9.6y$

$=50.88x-67.2y$

Therefore,

$-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y$

3 0

3 years ago

Marcella Heinz purchased office supplies at Office Emporium for $107.64. She then purchased an English-Spanish dictionary for $1

Sliva [168]

The total amount of tax on her purchases to the nearest cent will be $9.97

<em><u>Explanation</u></em>

Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95

So, the total amount of her purchases $=\$107.64+\$16.95=\$ 124.59$

On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%

So, the <u>amount of the state sales tax</u> $=\$124.59*7.5\%= \$124.59*0.075=\$9.34425$

and the <u>amount of county tax</u> $=\$124.59*0.5\% =\$124.59*0.005 = \$0.62295$

Thus, the total amount of tax on her purchases $=\$9.34425+\$0.62295= \$9.9672 \approx 9.97$ <em>(Rounded to the nearest cent)</em>

8 0

4 years ago