Find the exact solution of x. 4x3 = 500

Mathematics

2 answers:

matrenka [14]3 years ago

7 0

Steps:

Please see the attachment

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

Answer: x=5

x= 125/3

Hope this helps.

san4es73 [151]3 years ago

6 0

Answer:

$\boxed{x = 5}$

Step-by-step explanation:

$4x^3 = 500$

$x^3 = \frac{500}{4}$

$x^3 = 125$

$x = \sqrt[3]{125}$

$x = 5$

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Of the 8 students in the chess club, three will represent the club at an upcoming competition. How many different 3-person teams

xz_007 [3.2K]

I think that this is a combination problem. From the given, the 8 students are taken 3 at a time. This can be solved through using the formula of combination which is C(n,r) = n!/(n-r)!r!. In this case, n is 8 while r is 3. Hence, upon substitution of the values, we have

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6 0

3 years ago

Read 2 more answers

7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S

Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.