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3 years ago

What is the value of x? 3/5x – 1/3 x = x – 1

1 answer:

6 0

The first step to solving this is to multiply both sides of the equation by 15.
9x - 5x = 15x - 15
Collect all of the like terms on the left side of the equals sign.
4x = 15x - 15
Move the variable to the left side of the equation and change its sign.
4x - 15x = -15
Now collect the like terms on the left side of the equation for the second time.
-11x = -15
Lastly,, divide both sides of the equation by -11 to get your final answer.
$\frac{15}{11}$
This means that the correct answer to your question is $\frac{15}{11}$ ,, or 1 $\frac{4}{11}$ simplified.
Let me know if you have any further questions
:)

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The answer is actually cube A

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3 years ago

The bucket is 30% full. when half way empty it is 15% full. how full is the bucket when 250% full?

Sunny_sXe [5.5K]

Answer:

125%

Step-by-step explanation:

divide 250% by 2

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2 years ago

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In a study published on January 31, 2011 in The Proceedings of the National Academy of Sciences, researchers randomly assigned 1

Kaylis [27]

Answer:

Step-by-step explanation:

Hello!

The objective of this test is to know if aerobic exercise modifies hippocampus activity. A random sample of 120 elderly men and women was taken and divided into two groups.

Group 1: Walked around a track three times a week.

Group 2: Did a variety of less aerobic exercises, including yoga and resistance training with bands.

After a year their brains were scanned showing that group 1 had an increase of 2% in their hippocampus and group 2 showed a decrease of 1.4%

a. True, this type of observational study can be the prelude to a more formal statistical study.

b. True, the explanatory variable is "type of exercise", it's the variable that the investigator suspects influence the hippocampus volume.

c. True, the objective of this experiment is to test if there is any modification on hippocampus volume, that's why the volume of the hippocampus was measured, before and after a year of exercise.

d. False, this is an observational study, you cannot establish a causal relationship between the two variables. Just inform you that there seems to be an association. To be able to generalize the results to all elderly population you need a more formal statistical experiment to support your conclusions.

I hope it helps!

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3 years ago

The equation x^3+x^2+ax-4=0 has one root equal to -2. Find the value of a.

Vedmedyk [2.9K]

Answer:

a = - 4

Step-by-step explanation:

Given x = - 2 is a root then f(- 2) = 0

f(x) = x³ + x² + ax - 4, thus

f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is

f(- 2) = - 8 + 4 - 2a - 4 = 0, thus

- 8 - 2a = 0 ( add 8 to both sides )

- 2a = 8 ( divide both sides by - 2 )

a = - 4

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3 years ago

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"? the 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$

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3 years ago

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