3 years ago

Suppose that y varies directly with x and y= 5 when x= 6. What is y when x=5

Mathematics

1 answer:

IrinaVladis [17]3 years ago

4 0

If it keeps the same trend, when x=5, then y should equal 4. Y will be one less than X.

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This is really confusing me:<br> Simplify so that your answers contain only positive exponents.

xxTIMURxx [149]

Answer:

see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

$a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}$

I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

$23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9$

3 0

3 years ago

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

Viefleur [7K]

$2( {x}^{2} )$

3 0

3 years ago

1.56 times 48 equals

Crank

Answer:

It equals 74.88

Step-by-step explanation:

U jus multiply them

5 0

3 years ago

Read 2 more answers

If the sales tax is 6.75%, how much tax would Adrian pay if he bought two CD's at $16.99 each and one DVD for $36.29.

Reptile [31]

CD:2 at $16.99 each=$33.98
DVD:1 at $36.29
$33.98+$36.29=
$70.27
6.75%*70.27=4.743225
round to the nearest tenth:
4.74
Andrian will pay
<u>$4.74 as sales tax </u>

6 0

3 years ago

Find the percent if the common ratio is 0.29

Tasya [4]

The percent would be 29%. You need to move the decimal to the right twice.

8 0

3 years ago

Read 2 more answers