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2 years ago

Use formulas to find the greatest four consecutive numbers whose sum is less than 1,000.

Mathematics

1 answer:

patriot [66]2 years ago

7 0

Answer:

The greatest four consecutive numbers whose sum is less than 1,000 are 248, 249, 250, and 251.

Step-by-step explanation:

Let x be the smallest integer. Then:

x + x + 1 + x + 2 + x + 3 < 1,000

4x + 6 < 1,000

2x + 3 < 500

2x < 497

x < 248.5, so x = 248

So we have the integers 248, 249, 250, and 251.

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The quadratic equation x2 + mx + q = 0, where m and q are real numbers, has the complex root a + bi.?

Sphinxa [80]

Remember the quadratic formula determinant?
If b^2 -4ac < 0, a complex root exists.

So for this problem, m^2 - 4q is the determinant, and if less than 0, is complex.

So a=-m/2 and b=(1/2)SQRT(m^2 - 4q)

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3 years ago

EASY PLZ HELP! Solve for x. (Show your work) 2x + 3 > 5

m_a_m_a [10]

Hi there!

Answer:

X>1

*The answer must have a positive sign and greater than symbol.*

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

$2x+3-3>5-3$

Then, you subtract by the numbers from left to right.

$5-3=2$

$2x>2$

You can also divide by 2 from both sides of an equation.

$\frac{2x}{2}>\frac{2}{2}$

Finally, you divide by the numbers from left to right.

$2/2=1$

Final answer is x>1

I hope this helps you!

Have a nice day! :)

-Charlie

Thank you so much! :)

8 0

3 years ago

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47 x 68 = 3196 Use this information to work out 31.96 ÷ 0.47 =

Zepler [3.9K]

The correct answer for this question is 68.

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4 years ago

Factors of 6:factors of 7:

Olenka [21]

6: 1,3,2,6
7: 1,7
Factors of 6 are 1,3,2,6 because 1x6 (6x1) and 3x2. (2x3)

Factors of 7 are 1,7 because seven is a odd number so you can only multiply it by one and itself. (1x7 or 7x1)

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3 years ago

The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar

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Answer: 35 square centimeters

Step-by-step explanation:

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3 years ago

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