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dimaraw [331]
3 years ago
15

3 Simplify:1/4 (15 – 6) +3 : 12 A. 2 B. 3 C. 41 D. 5 7 12

Mathematics
1 answer:
zalisa [80]3 years ago
4 0

Answer:  5.25 or 5.5 [see note]

Step-by-step explanation:

1/4 (15 – 6) +3  <em><u>[I'm not clear what is meant by the " : 12," so I left it out.]</u></em>

1/4 (9) +3

9/4 + 3

2.25 + 3 = 5.25

===

If it is supposed to read

1/4 (15 – 6) +3/12

Then it would be

5.25 + 0.25 = 5.5

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A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
Question 5(Multiple Choice Worth 4 points) (04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the
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Answer:

y- 2x + 4

Step-by-step explanation:

8 0
3 years ago
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Which of the following describes the quotient of 4 and -28? A) The quotient is undefined. B) The quotient is an integer. C) The
DanielleElmas [232]

Answer:

-1/7

Step-by-step explanation:

Divide the first expression by the second expression.

6 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
Anna007 [38]

Answer:

To find the maximum of a function in ax^2 + bx + c form, you can use  the formula: maximum = c - (b^2 / 4a).

In this question, a = -16, b = 180, and c = 63.

Maximum = 63 - (180^2/4(-16))

Maximum  = 569.25

Finally, rounding this to the nearest tenth of a foot, the final answer is 569.3 ft.

Let me know if this helps!

4 0
3 years ago
Alexis and Paige work together as photographers for the local newspaper. Alexis is paid $25 for each news story she shoots and a
Naddik [55]

Answer:

The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.

Step-by-step explanation:

Given that:

Alexis charges $25 for each news story and $5 per picture.

Let,

n represent the number of news stories and p represent the number of pictures.

Alexis' total charges = 25n+5p

Paige charges $15 for each news story and $10 per picture.

The variables will be same.

Paige's total charges = 15n+10p \\

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Total charges paid by newspaper = 25n+5p+15n+10p=40n+15p

Hence,

The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.

7 0
3 years ago
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