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azamat
3 years ago
10

1/216 using negative exponents

Mathematics
1 answer:
Mama L [17]3 years ago
3 0
\frac{1}{216}=216^{-1}=\left(6^3\right)^{-1}=6^{-3}
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Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A
PtichkaEL [24]

Answer:

a) 5n\\b) 10n\\c) 3n

Step-by-step explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here.

A number 'q' that can be divided by a a given number 'p' can be written as:

n \times p

When divided by 'p' :

\dfrac{q}{p} = \dfrac{n \times p}{p}\\\Rightarrow \dfrac{q}{p} = n

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

a) Using 'n' as the variable, a number that is divisible by 5 can be written as:

5n

b) Using 'n' as the variable, a number that is divisible by 10 can be written as:

10n

c) Using 'n' as the variable, a number that is divisible by 3 can be written as:

3n

7 0
3 years ago
Find MP.<br><br> MN=17<br> NP=3y<br> MP=5y+9
8_murik_8 [283]

Answer:

MP = 29

Step-by-step explanation:

Given:

MN = 17

NP = 3y

MP = 5y + 9

MN + NP = MP (segment addition postulate)

17 + 3y = 5y + 9 (substitution)

3y = 5y + 9 - 17 (subtracting 17 from each side)

3y = 5y + 8

3y - 5y = 5y - 8 - 5y (Subtracting 5y from both sides)

-2y = 5y - 8 - 5y

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y = 4 (dividing both sides by -2)

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Plug in the value of y

MP = 5(4) + 9 = 20 + 9

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3 years ago
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IgorLugansk [536]
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6 0
3 years ago
Read 2 more answers
when have you calculated the mean in real life? and do you always have to use math in order to find the mean?
MaRussiya [10]

Answer:

a girl was mean so I had to beat her up

Step-by-step explanation:

that is when I had met a mean person

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3 years ago
One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the s
Reptile [31]

Answer:

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Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

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(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

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3 years ago
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