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3 years ago

Write the expression represented by n students divided into groups of 6

1 answer:

dsp733 years ago

5 0

The phrase is “ n students
into groups of 6”
Think about what makes sense.
Separating n students into 6 equal
groups means dividing n students into
6 equal groups. So, write a division
expression.
& separated \ \underline{n \ students} \
Division is not commutative. The order
in which we divide numbers matters.
So, while n \div 6 represents the
number of students in each group,
n \div 6 does not.
The answer is n \div 6 .

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How many solutions does this linear system have?

Tanya [424]

Answer:

B (2.5, 0)

Step-by-step explanation:

2x - y = 5 (multiply all by 4)

8x- 4y = 20

-8x - 4y = - 20

eliminate the 4y

8x- 4y = 20

-8x - 4y = - 20

-------------------- –

16x = 40

x = 40/16 = 2.5

now we substitute x with 2.5

2x - y = 5

2(2.5) - y = 5

y = 0

8 0

3 years ago

Which of the following infinite series has a finite sum? Explain your reasoning.

ikadub [295]

Answer:

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

7 0

2 years ago

Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P

ss7ja [257]

Answer:

$\huge\boxed{\text{At least an } 87\%}$

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

$\displaystyle \frac{x_1+x_2+...x_n}{n}$

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as $x$ .

$\displaystyle \frac{98+72+87+x}{4} \geq 86$ (since we want AT LEAST an 86).

Let's solve this inequality for x.

$\frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4$
$98+72+87+x \geq 344$
$257 + x \geq 344$
$257 + x - 257 \geq 344 - 257$
$x \geq 87$

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

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2 years ago

How can percent help you understand situations involving money?

Gnoma [55]

If the problem did not give you the percentile it would be confusing. You would not know if they wanted money or just a number!!! So it is pretty important.

3 0

2 years ago

Read 2 more answers

Please help! double points. thanks

Gala2k [10]

Check the picture below.

so, hmmm notice, since i² = -1 and i⁴ = 1, whenever the exponent is only divisible by 2, the value will be -1, and whenever the exponent is divisible by 4, we end up with a +1, so every subsequent even exponent is simply cancelling the previous value, if we take that to the even value of 100, which has 50 pairs of those, we end up with, yeap, you guessed it, 0.

4 0

1 year ago