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klemol [59]
2 years ago
8

Three times the sum of twice a number and three is equal to the sum of five times the number and one. Find the number.

Mathematics
2 answers:
maxonik [38]2 years ago
6 0

Answer:

3(2x + 3) = 5(x + 1)

Step-by-step explanation:

lets call the number X

SIZIF [17.4K]2 years ago
3 0

Answer:

3*(2n+5) = n-5

Step-by-step explanation:

Step 1. Let n be the number.

Step 2. Let 2n+5 be the sum of twice a number and five

Step 3. Let 3(2n+5) be three times the sum of twice a number and five

Step 4 Let n-5 be five less than the number.

Step 5. Then using Steps 3 and 4, we have 3%282n%2B5%29=n-5 since three times the sum of twice a number and five is equal to five less than the number.

Step 6. Solving the equation in Step 5 yields the following steps

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. While setting up a fireworks display, you have a tool at the top of the
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3 years ago
Which point is part of the solution of the inequality y&lt;=|x+4|-3
Whitepunk [10]
<h2>Hello!</h2>

The answer is: The point (0,0) is part of the solution.

<h2>Why?</h2>

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

y\leq |x+4|-3

So, evaluating we have:

- First point (-2,1)

y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

3 0
2 years ago
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