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3 years ago

13

At the book fair, books were on sale for 15% off the regular price. Hannah bought a book that had a regular price of $6.00. What

is the total amount, before tax, that she saved by buying the book on sale?

1 answer:

Semmy [17]3 years ago

3 0

Answer:

Step-by-step explanation:

discount = 15% of $6 = 0.15×$6 = $0.90

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I do not know how to solve this problem or know what to do with the exponents

horsena [70]

K, remember
(ab)/(cd)=(a/c)(b/d) or whatever
also
$(ab)^c=(a^c)(b^c)$
and
$x^{-m}= \frac{1}{x^m}$
and
$x^ \frac{m}{n}= \sqrt[n]{x^m}$
and
$( \frac{x}{y} )^m= \frac{x^m}{y^m}$
and
$(x^m)^n=x^{mn}$
and
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)

so
$( \frac{-7x^ \frac{3}{2} }{5y^4} )^{-2}$ =
$( \frac{-7}{5} )^{-2}( \frac{x^ \frac{3}{2} }{y^4} )^{-2}$ =
$( \frac{(-7)^{-2}}{5^{-2}} )( \frac{(x^ \frac{3}{2})^{-2} }{(y^4)^{-2}} )$ =
$( \frac{ \frac{1}{(-7)^2} }{ \frac{1}{5^2} } )( \frac{x^ \frac{-6}{2} }{y^{-8}} )$ =
$( \frac{ \frac{1}{49} }{ \frac{1}{25} } )( \frac{(x^{-3}) }{\frac{1}{y^8}} )$
$( \frac{ \frac{1}{49} }{ \frac{1}{25} } )( \frac{\frac{1}{x^3} }{\frac{1}{y^8}} )$ =
$(\frac{25}{49} )( \frac{y^8}{x^3}$ =
$\frac{25y^8}{49x^3}$

4 0

3 years ago

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

Elis [28]

In order for <em>F</em> to be conservative, there must be a scalar function <em>f</em> such that the gradient of <em>f</em> is equal to <em>F</em>. This means

$\dfrac{\partial f}{\partial x}=3x^2-2y^2$

$\dfrac{\partial f}{\partial y}=4xy+4$

Integrate both sides of the first equation with respect to <em>x</em> :

$f(x,y)=x^3-2xy^2+g(y)$

Differentiate both sides with respect to <em>y</em> :

$\dfrac{\partial f}{\partial y}=-4xy+\dfrac{\mathrm dg}{\mathrm dy}=4xy+4\implies\dfrac{\mathrm dg}{\mathrm dy}=8xy+4$

But we assume <em>g</em> is a function of <em>y</em>, which means its derivative can't possibly contain <em>x</em>, so there is no scalar function <em>f</em> whose gradient is <em>F</em>. Therefore <em>F</em> is not conservative.

8 0

3 years ago

Its worth helping xd

nata0808 [166]

Answer:

$c)\ 2\frac{4}{10}$

Step-by-step explanation:

$5\frac{1}{5}-2\frac{8}{10} \\\\5\frac{2}{10}-2\frac{8}{10} \\\\\frac{52}{10}-\frac{28}{10} \\\\ \frac{24}{10} \\\\2\frac{4}{10}$

Hope this helps!

7 0

2 years ago

Read 2 more answers

In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to

MAXImum [283]

4+3p≥40
He needs to have 40 or more to get to the finals so 4+3p has to be 40 or more

7 0

3 years ago

An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram.What is the area, in sq

tatyana61 [14]

<h2>Explanation:</h2><h2 />

The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:

$A=b\times h \\ \\ A:Area \\ \\ b:Base \\ \\ h:Height \\ \\ \\ CB=b \\ \\ AB=h$

Then, finding CB by Pythagorean Theorem:

$CB=\sqrt{6^2+4^2} \\ \\ CB=2\sqrt{13}$

And:

$AB=4$

Therefore:

$A=(2\sqrt{13})(4) \\ \\ \boxed{A=8\sqrt{13} \ units^2}$

6 0

3 years ago