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ira [324]
4 years ago
13

What are the x intercepts for 5/x + 1/3x = 4x/3

Mathematics
1 answer:
Black_prince [1.1K]4 years ago
4 0
\bf \cfrac{5}{x}+\cfrac{1}{3}x=\cfrac{4x}{3}\implies \cfrac{5}{x}+\cfrac{x}{3}=\cfrac{4x}{3}

now, the cheap answer will be, let's just get the LCD of all those fractions, hmm let's see is 3x, and multiply all the fractions by the LCD, that way, getting rid of the denominators.

\bf \cfrac{5}{x}+\cfrac{1}{3}x=\cfrac{4x}{3}\implies \cfrac{5}{x}+\cfrac{x}{3}=\cfrac{4x}{3}\impliedby \times \stackrel{LCD}{3x}
\\\\\\
\boxed{3x}\cdot \cfrac{5}{x}+\boxed{3x}\cdot \cfrac{x}{3}=\boxed{3x}\cdot \cfrac{4x}{3}\implies 15+x^2=4x^2\implies 15=3x^2
\\\\\\
\cfrac{15}{3}=x^2\implies 5=x^2\implies \pm\sqrt{5}=x
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A hollow ball is made of rubber that is 1 centimeter thick. The ball has a radius of 5 centimeters at the outside surface.
serious [3.7K]
Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.

The <span>approximate volume of rubber used to make the ball is given by the volume of the ball at the outside surface minus the volume of the ball at the inside surface.

i.e.
</span>
<span>Volume\ of\ rubber= \frac{4}{3} \pi\left(5^3-4^3\right) \\  \\ = &#10;\frac{4}{3} \pi(61)= \frac{244}{3} \pi\approx255.5\ cm^3</span>
4 0
3 years ago
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A shoe company found that 4.25% of the production is defective. The company
nlexa [21]

1190 pairs of shoes are defective

<em><u>Solution:</u></em>

Given that shoe company found that 4.25% of the production is defective

The company  made 28,000 pairs of shoes

To find: Number of pairs of defective shoes

From given information, 4.25% of the production is defective which means 4.25% of 28,000 pairs of shoes

Defective shoes = 4.25% of 28,000

Defective shoes = \frac{4.25}{100} \times 28000

Defective shoes = 4.25 \times 280 = 1190

Thus 1190 pairs of shoes were defective

6 0
3 years ago
Can some one plz Solve this. 5 - 2x &lt; 7.
kow [346]

Answer:

x > 1

Step-by-step explanation:

5 - 2x < 7

-5          - 5

-2x < 2

/-2     /-2

(dividing by negative switches the sign)

x >- 1

5 0
3 years ago
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Ashley ate Mexican food 4 out of 7 days on her vacation. If her vacation was 35 days, how many days did she eat Mexican food?
lina2011 [118]

The number of days Ashley ate Mexican food while on vacation is 20 days.

<h3>How many days did Ashley eat mexican food?</h3>

The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7

4/7.

The second step is to multiply 4/7 by 35

4/7 x 35= 20 days

To learn more about multiplication, please check: brainly.com/question/3385014

8 0
2 years ago
An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
Brilliant_brown [7]

Answer:

I am not sure what the P is.

2,300,000,00. X 5% = $115,000,000. Commission

Step-by-step explanation:

4 0
2 years ago
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