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spayn [35]
3 years ago
10

Solve for x. 2 3 (x + 7) = 10

Mathematics
1 answer:
matrenka [14]3 years ago
7 0
<h2>Answer:</h2>

\boxed{x=-\frac{151}{23}}

<h2>Step-by-step explanation:</h2>

This is an equation whose target variable is x. Recall that in mathematics, an equation is a statement that involves the equality of two expression. In this case, we have the following equation:

23(x+7)=10

Applying distributive property:

23x+161=10

Subtracting 161 from both sides:

23x+161-161=10-161 \\ \\ 23x=-151

Dividing both sides by 23:

\boxed{x=-\frac{151}{23}}

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13, what is the probability that the coin lands on heads the first two times and lands on tales third
lozanna [386]

Answer: The probability is 1/8

Explanation:

Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.

We are flipping the coin three times.

The number of relevant outcomes is 1 (one triple {Head, Head, Tail})

The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.

The probability P = 1/8

4 0
3 years ago
The sum of two numbers is 43 and the difference is 13 what are the numbers
Zinaida [17]

Answer:  1. 28      2. 25    

Hope this helps!

Didn't know if you wanted the explanation or not, so sorry. But I can put an explanation if you need it.

6 0
3 years ago
G2 – 4g – 21 = (g – )(g + )
Sloan [31]
<span>g^2 – 4g – 21 = (g – 7)(g +3 )

hope it helps</span>
8 0
3 years ago
Read 2 more answers
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from h
snow_lady [41]

Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

= 67/10 × 1000

= 67 × 100

= 6700 meters

He'll travel 6700 meters to the museum.

7 0
3 years ago
Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2
Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

  • a = 5
  • b = -6
  • c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}

\implies x=\dfrac{6 \pm \sqrt{76}}{10}

\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}

\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

\implies x=\dfrac{6 \pm2\sqrt{19}}{10}

\implies x=\dfrac{3 \pm \sqrt{19}}{5}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0
1 year ago
Read 2 more answers
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