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3 years ago

After how many places the decimal expansion of 13/40 will terminate?

Mathematics

1 answer:

mamaluj [8]3 years ago

7 0

Remember that $40 = 2\cdot 2\cdot 10$ .

So, dividing by 40 means dividing by 10, then by 2, then by 2 again.

So, we can go like this: let's divide by 10 first

$13 \div 10 = 1.3$

Then, we divide by 2:

$1.3 \div 2 = 0.65$

And by 2 again:

$0.65 \div 2 = 0.325$

So, the decimal expansion ends after 3 digits.

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Which expression is equivalent to (x^2 -8) - (-2x^2+4)?

Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0

3 years ago

WILL GIVE BRAINLIEST The sequence 7 21 63 189......shows the number of jumping jacks justin did each week, starting with the fir

vovangra [49]

this is a geometric sequence since there exists a common ratio r between the terms

r = $\frac{21}{7}$ = $\frac{63}{21}$ = $\frac{189}{63}$ = 3

to obtain the next term in the sequence multiply the previous term by 3

$a_{n+1}$ = 3 $a_{n}$ ← recursive rule

the n th term of a geometric sequence is

$a_{n}$ = $a_{1}$ $r^{n-1}$

where $a_{1}$ is the first term in the sequence

$a_{n}$ = 7 × $3^{n-1}$ ← explicit rule

3 0

2 years ago

Mr. Barresi is ordering pizzas for a team party. He knows that 7 pizzas will feed 25 students. If 300 students are attending the

liubo4ka [24]

Divide 300 by 25 and multiply with 7.

300/25 x 7 = X

7 0

2 years ago

Read 2 more answers

In need of help of these math questions

vitfil [10]

Answer:

1. 4

2. 6.4

3. 10.0828313253

Explanation:

15/12=1.25

8/1.25=6.4

3. ill write explanation for 3 later im occupied those are the correct answers

problably they want you to round to nearest tenth

4 0

2 years ago

Which of the binomials below is a factor of this trinomial?

Degger [83]

The factor is (x+6)(x+6)
So, D. x+6 is the correct answer :)

5 0

2 years ago