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3 years ago

9(y + 6) find the equivalent expression by using the distributive property

Mathematics

2 answers:

Eddi Din [679]3 years ago

8 0

Answer:

9y+54

Step-by-step explanation:

Multiply the number on the outside of the parenthesis with both of the numbers on the inside of the parenthesis.

9*y=9y

9*6=54

Hope this helps!

Otrada [13]3 years ago

5 0

Answer:

9y+54

Step-by-step explanation:

Alright we are going to be using the distributive law/Properties

The distributive property states that a(b+c)=ab+ac

So a=9,b=y,c=6

9y+9*6

So you multiply the numbers

9y+54

So therefore, your answer would be 9y+54

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astraxan [27]

Answer:

-4.375

Step-by-step explanation:

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3 years ago

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Solve and show all work |2×+3| -6=11

mash [69]

Answer:

x = -10; x = 7

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17 (2) 2x + 3 = -17

Subtract 3 from each side

2x = 14 2x = -20

Divide each side by 2

x = 7 x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11

|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11

|17| - 6 = 11 |-17| - 6 = 1 1

17 - 6 = 11 17 - 6 = 11

11 = 11 11 = 11

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3 years ago

The vertical change between 2 points

Levart [38]

Answer:

The vertical change between two points is called the rise, and the horizontal change is called the run.

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2 years ago

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Which expression is equivalent to *picture attached*

DiKsa [7]

Answer:

The correct option is;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$

Step-by-step explanation:

The given expression is presented as follows;

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )$

Which can be expanded into the following form;

$\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n$

From which we have;

$\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}$

$\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}$

Therefore, substituting the value of n = 50 we have;

$\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}$

$\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}$

Which gives;

$4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}$

$3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}$

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}$

Therefore, we have;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$ .

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3 years ago

There is 0.162 liter of water in a 1-liter bottle. How much more water should be put in the bottle so it contains exactly 1 lite

Dmitry [639]

Answer: 0.838 is the answer to this problem

Because 1.000 - .162= 0.838

3 0

3 years ago