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ANTONII [103]
3 years ago
11

What is the solution for x in the equation 5/3 x +4=2/3 x

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer:

x = - 4

Step-by-step explanation:

Given

\frac{5}{3} x + 4 = \frac{2}{3} x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

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Tomas has $1,000 to spend on a vacation. His
Jobisdone [24]

Answer:

He can spend $118.50 each day

Step-by-step explanation:

1000 - 348.25 = 651.75

651.75 / 5.5 = 118.5

4 0
3 years ago
2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers
UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

\frac{x^3+x^2+x}{x^2+x+1}=x

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that x^3+x^2+x=x(x^2+x+1)

If we replace the factored numerator with the original one, we get:

\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x

Since we have an equality, this relation is proved.

3 0
3 years ago
A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that
kondaur [170]

Answer:

Probability that the company wins project A or project B is 0.50.

Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

            Probability of winning project B = P(B) = 0.25

<u>Now, as we know that ;</u>

Probability that the company wins project A or project B = P(A \bigcup B)

              P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)

So, we have to find the value of Probability of winning project A and B, i.e;

P(A \bigcap B)

<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>

                    P(A \bigcap B) = P(A) \times P(B)

                                    = 0.40 \times 0.25 = 0.10

Now, Probability that the company wins project A or project B is given by;

                 P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)  

                                  = 0.40 + 0.25 - 0.10

                                  = 0.65 - 0.10 = 0.55

Hence, probability that the company wins project A or project B is 0.50.

3 0
3 years ago
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both ex
julsineya [31]

Answer:

x + 6 minus one-half x minus 2. Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.

Step-by-step explanation:

3 0
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Answer:

C. Rachaels health care needs will cost less under option 1 if she is able to avoid additional health care costs

Step-by-step explanation:

3 0
3 years ago
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