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3 years ago

Write an expression using the distributive property that can be used to find the quotient of 126 divided by 7

1 answer:

8 0

Well, let's discover how many times 7 goes into 126 first.

7 x 11 = 77
7 x 12 = 84
7 x 13 = 91
7 x 14 = 98
7 x 15 = 105
7 x 16 = 112
7 x 17 = 119
7 x 18 = 126

Well, 7 goes into 126 - 18 times - therefore the quotient is 18. The use of the distributive property wouldn't be necessary.

Nevertheless, you could say that:

$\frac { 126 }{ 14 } \\ \\ =\frac { 140-14 }{ 7 } \\ \\ =\frac { 140 }{ 7 } -\frac { 14 }{ 7 } \\ \\ =20-2\\ \\ =18$

* I've used the distributive property above.

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1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ

Natalka [10]

Answer:

24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

$\dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}$

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

$\dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}$

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

$S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}$

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3 years ago

What are the next two number that will complete the sequence 100,121,144,196,225

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Answer is 1001,15,000 XO bees crore

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3 years ago

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Sally is paid a fixed amount of money to walk her neighbor’s dog every day after school. When she is paid each month, she puts a

Ne4ueva [31]

Answer:

118.625

Step-by-step explanation:

Lets clear this up.

M = $65.

6 months = 182.5 days

We may turn 65 into a decimal for a more exact answer.

<h3>65 = 0.65 (changing it to a decimal does not change the value.)</h3>

Now we can do

182.5 x 0.65

= 118.625.

For your homework you could say.

"6 months is 182.5 days, we would need to change 65 into a decimal, which is 0.65 to get a more exact answer. 182.5 x 0.65 = 118.625. Sally will be paid 118.625 in 6 months."

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3 years ago

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A shirt is on sale for 20% off Sandy pay $8 for the shirt what was the shirt regular price

Talja [164]

Answer:

The shirt cost $10 since 20% of 10 is 2 resulting in the $8 final cost

Step-by-step explanation:

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4 years ago

A 5 meter ladder is positioned 3.2 meters away from a building. A) draw a diagram to represent the information.b) calculate how

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