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Cerrena [4.2K]
3 years ago
13

Could someone help me with this?

Mathematics
1 answer:
natulia [17]3 years ago
5 0
Distributive property was the first property used in STEP 1, where -4 was distributed to -3x+ 2 resulting in the equation in STEP 1. Next in STEP 2, commutative property of addition no matter how 12x and 6x are arranged, when you add them together the result will be the same. 
*Take note that 12x and 6x are put together because they are like terms. 

For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.

STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so. 

STEP 4 and 5 uses transitive property if you examine both as a whole. 
Transitive property assumes that if a = b and b = c, then a = c

If   18/18 (a) = 1 (b),  and x (c) = 18/18(a)  then, x (c) = 1 (b). 
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Alina [70]

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\sum \limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill

\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8

8 0
3 years ago
Read 2 more answers
What is the the value of ∣9∣
xxTIMURxx [149]

Hey there! I'm happy to help!

This symbol is an <u>absolute value</u> symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.

Have a wonderful day and keep on learning! :D

7 0
3 years ago
The Empire State Building weights about 7.3 x 10 ^8
kvasek [131]

Answer:

730000000 lbs?

Step-by-step explanation:

4 0
3 years ago
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A store has 263 board games. Sit has 100 fewer puzzles than board games. The store has 10 more action figures than puzzles. Writ
Yuri [45]

so is it has 100 puzzles less than board games and you have 263 board games just subtract 263-100 which is 163. if it has 10 more action figures than puzzles and you have 163 puzzles you would add 10 to 163 which would give you 173 action figures.

163 puzzles and 173 action figures is the answer

4 0
3 years ago
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Which expression is equivalent to one over five m − 20? (4 points)
exis [7]

Answer:

The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B

Step-by-step explanation:

Let us solve the question

∵ One over five means \frac{1}{5}

∴ One over five m - 20 = \frac{1}{5} m - 20

→ By using the distributive property, take one over five as a common factor

  from both terms

∴ \frac{1}{5} m - 20 = \frac{1}{5} (\frac{\frac{1}{5}m}{\frac{1}{5}} - \frac{20}{\frac{1}{5}})

→ Simplify the bracket

∵  \frac{1}{5} m ÷ \frac{1}{5} = \frac{1}{5} m × 5 = m

∵ 20 ÷  \frac{1}{5}  = 20 × 5 = 100

∴  \frac{1}{5} (\frac{\frac{1}{5}m}{\frac{1}{5}} - \frac{20}{\frac{1}{5}}) = \frac{1}{5} (m - 100)

∴ \frac{1}{5} m - 20 = \frac{1}{5} (m - 100)

The equivalent to one over five m − 20 is one over five (m − 100)

4 0
3 years ago
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