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Anastaziya [24]

3 years ago

14

The students in Camille's grade voted to select a guest speaker. 65% of the students voted for a famous athlete. If there are 60

students in Camille's grade, how many students voted for the athlete?

1 answer:

GrogVix [38]3 years ago

6 0

Answer:

39 students

Step-by-step explanation:

In order to solve this you need to first set up a proportion with x equaling the number of students who voted for the athlete, 65/100 = x/60. 65/100 represents 65% and it is equal to a certain number of students out of 60. To solve for x you need to cross multiply so you would have 100x=65(60), simplified this would be 100x=3900, then you divide both sides by 100 to get x over 39. So, 39 students voted for the athlete.

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Answer:

The constant of proportionality is 5.

Step-by-step explanation:

If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

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When q=2.5, m= 4 and the

product of rx = 8.

We plug in this values to get;

$2.5=k(\frac{8}{4^2})$

$2.5=k(\frac{8}{16})$

$2.5=\frac{1}{2}k$

Multiply both sides by 2

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The constant of proportionality is 5.

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Bogdan [553]

Answer:

-4 and 4

Step-by-step explanation:

<u>Method 1</u>

Apply Difference of Two Squares Formula: $a^2-b^2=(a+b)(a-b)$

Given $x^2-16=0$

Rewrite 16 as 4²

Therefore, $a^2=x^2$ and $b^2=4^2$

$\implies a = \sqrt{x^2}=x$

$\implies b=\sqrt{4^2} =4$

$\implies x^2-16^2=(x+4)(x-4)$

$\implies (x+4)(x-4)=0$

$\implies (x+4)=0 \implies x=-4$

$\implies (x-4)=0 \implies x=4$

<u>Method 2</u>

Given equation:

$x^2-16=0$

Add 16 to both sides:

$\implies x^2-16+16=0 + 16$

$\implies x^2=16$

Square root both sides:

$\implies \sqrt{x^2}=\sqrt{16}$

$\implies x=\pm4$

Therefore, x = -4, x = 4

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The value of r represents the distance from a point to the pole when plotting that point in polar coordinates. True or False?

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Answer:

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Step-by-step explanation:

Given: The statement '' The value of r represents the distance from a point to the pole when plotting that point in polar coordinates ''

To state: whether the given statement is true or false

Solution:

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