Select the car that has the best fuel efficiency (greatest number of kilometers per liter of gasoline).

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

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

In ATUV, the measure of V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure

luda_lava [24]

Answer:73

Step-by-step explanation:

7 0

3 years ago

-1/5(x-4)=-2 how do you solve this equation

m_a_m_a [10]

Multiple both sides by 5/1 and get

-1/1 • (x-4) = -10/1

divide the numbers and get

-1 • (x-4) = -10

remove the parentheses

- x-4 = 10

move the constant to the right

-x = -10-4

calculate

-x = -14

change the signs

x= 14

8 0

3 years ago

Solve for qqq.

Anna11 [10]

3/5=q/10
multiply both sides by 5 or cross multiply i fyou like
30/5=10q/10
6=1q
6=q

8 0

3 years ago

Read 2 more answers

Tell whether the angles are adjacent or vertical. Then find the value of $x$ .

boyakko [2]

Answer:

they are adjacent angles