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3 years ago

What percent of 2000 is 160? Show work

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

.08%

Discussion:

Let the percent be denoted "p". Then

2000 * p% = 160 => ( as p% = p/100)

2000* p/100 = 160 =>

20p = 160 =>

p = 8 or .08%

Regards,

MrB

Korvikt [17]3 years ago

3 0

Answer:

The answer is .8

Step-by-step explanation:

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3 years ago

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

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Hence, Option C is the correct answer.

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3 years ago

Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas

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Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

$(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters$

Hence,

The length of slide is 18.36 meters

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2 years ago