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4 years ago

What is -5x + 15 = 35 - 10x

Mathematics

2 answers:

Wittaler [7]4 years ago

8 0

Hey!

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Solution:

-5x + 15 = 35 - 10x

~Subtract 15 to both sides

-5x + 15 - 15 = 35 - 10x - 15

~Simplify

-5x = 20 - 10x

~Add 10x to both sides

-5x + 10x = 20 - 10x + 10x

~Simplify

5x = 20

~Divide 5 to both sides

5x/5 = 20/5

~Simplify

x = 4

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Answer:

x = 4

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Hope This Helped! Good Luck!

dezoksy [38]4 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-5*x+15-(35-10*x)=0

Pull out like factors :

5x - 20 = 5 • (x - 4)

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Solve : 5 = 0

This equation has no solution.

A a non-zero constant never equals zero.

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Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4

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A container contains 1212 diesel engines. The company chooses 88 engines at random, and will not ship the container if any of t

bija089 [108]

Answer:

The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be $P(S)=85.99\%$

Step-by-step explanation:

The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so $\left[\begin{array}{ccc}1212\\88\end{array}\right] =1212C88=4.7205x10^{135}$

The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so $\left[\begin{array}{ccc}1210\\88\end{array}\right] =1212C88=4.0596x10^{135}$

Finally we need to compute $\frac{\# ways\ to\ succeed}{\# random\ sets\ of \ 88} =\frac{4.0596x10^{135}}{4.7205x10^{135}}=0.8599=P(S)$ , therefore the probability that a container will be shipped is $P(S)=85.99\%$