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Veseljchak [2.6K]
3 years ago
10

The sum of 5 consecutive even numbers is 200 what is the fifth number in this sequence?

Mathematics
1 answer:
Tema [17]3 years ago
7 0
Find the average of the numbers(the middle number) by dividing 200 by 5 to get 40. Since the numbers count by two, we would add four to get the value of the last number: 44.
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Rationalize the denominator of 4/14 root 2?
Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}

5 0
3 years ago
Which of the following is equivalent to 8x2+20x+
kkurt [141]
<h2>answer </h2><h2>36</h2>

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7 0
3 years ago
A rancher has 300 feet of fencing to enclose a pasture bordered on one side by a river. the river side of the pasture needs no f
Mashcka [7]
I think your best answer is a pasture that is 75 feet by 150 feet, which will give you 11,250 sq ft of pasture
8 0
3 years ago
What’s the work for 6.2 x 88.01?
nekit [7.7K]

Answer:

545.662

Step-by-step explanation:

          88.01

        <u>  x   6.2    </u>

          17602

    <u>  52806        </u>

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3 0
3 years ago
I need to know the answer I’m working on rational numubers
lesya [120]

Answer:

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Decimal Form: 0.4583

Step-by-step explanation:

Apply the fraction rule: \frac{-a}{b} = - \frac{a}{b}

\frac{-5}{12} = - \frac{5}{12}

- \frac{5}{12} + \frac{7}{8}

Least Common Multiple (LCM) of 12 and 8: 24

- \frac{5}{12} x  \frac{2}{2} = - \frac{10}{24} \\\\\frac{7}{8} x  \frac{3}{3} = \frac{21}{24} \\\\- \frac{10}{24} + \frac{21}{24}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c}= \frac{a + b}{c}\\\\\frac{-10 + 21}{24} \\\\-10 + 21 = 11\\\\\frac{11}{24}

3 0
2 years ago
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