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3 years ago

If x = 1/3 and y = 3/4 , evaluate the following expression: 8 x − 3 y

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

6 0

Answer:

5/12 or 0.416667

Step-by-step explanation:

Plug in the values for x and y.

8(1/3) - 3(3/4)

Evaluate.

8/3 - 9/4

32/12 - 27/12

= 5/12

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Which expression is equivalent to "9 more than the quotient of x and 5"?

AveGali [126]

Answer:

I would need to be able to see the expressions available.

Step-by-step explanation:

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2 years ago

What is the common ratio and explicit formula for -2,6,-18,54?

Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

$=\frac{6}{-2}$

$=-3$

Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

$=\frac{-18}{6}$

$=-3$

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

6 0

3 years ago

Help please tap the picture above

Wewaii [24]

Answer:

a = 8

r = 15%

When t = 3, y= 4.9

Step-by-step explanation:

8 represents the original amount because that's what you're increasing, so a=8.

To find your percentage, look into the parenthesis to see the decimal. We see that it's 0.15, but that's not a percentage yet, so you have to multiply it by 100. Or, moving your decimal two times to the right. Therefore, r=15%.

Now to find what the function will equal when t=3, simply plug 3 for t. I've always used a calculator for this so I'm not going to write it out (sorry). Your result should be 4.9 (this is already rounded to the nearest tenth for you).

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3 years ago

Rachel has taken 6 tests so far and has received scores of 83%, 92%, 79%, 88%, 89%, and 95%. What must Rachel receive on her sev

Vinil7 [7]

Let the score on her seventh test be "x".

SO,

$\frac{83+92+79+88+89+95+x}{7} =90\\\\ \frac{526+x}{7}=90\\\\ 526+x=630\\\\x=630-526\\\\ \boxed{x=104}$

∴ He must get 104% on his seventh test to get an average score of 90%

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3 years ago

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Answer:

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2 years ago