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2 years ago

Karen bought a coat for 20% more than the price she wanted to pay. If she paid $150, how much was she looking to pay?

Mathematics

2 answers:

daser333 [38]2 years ago

7 0

120% = $150

divide both sides by 6

20% = $25

We want the regular price, so 100%.

multiply both sides by 5

100% = $125

katrin [286]2 years ago

4 0

Answer:125

Step-by-step explanation:

150/1.20

=125

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Solve (2a^x + 1/2b^x)^2

alexira [117]

Answer:

$(4a^{2x} )+2a^{x} b^{x} + \frac{b^{2x} }{4}$

Step-by-step explanation:

The given equation is

$(2a^x + \frac{1}{2}b^{x} } )^2$ ...........(i)

we know the formula i.e.

$(a+b)^{2}= a^{2}+ b^{2} +2(a)(b)$

Applying this formula on equation (i) gives

= $(2a^{x} )^{2} +(\frac{1}{2})^{2}*(b^{x} )^{2} + 2 (2a^{x} )(\frac{1}{2} b^{x})$

Opening the sqaure gives and canceling $\frac{1}{2}$ with 2 gives us

= $4a^{2x} + \frac{1}{4}b^{2x} + 2a^{x}b^{x}$

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2 years ago

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V

aleksklad [387]

Answer:

The answer is explained below

Step-by-step explanation:

Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = $\frac{4}{3}\pi r^3$ , this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.

As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.

$V(\frac{5}{7} )$ is equal to the volume of the ball when the radius of the ball is $\frac{5}{7}$ . Therefore:

$V(\frac{5}{7} )=\frac{4}{3} \pi *(\frac{5}{7} )^3=1.53\ unit^3$

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