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Cerrena [4.2K]
2 years ago
8

Evaluate 3^2018 + 3^2015 / 3^2017 + 3^2016

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
5 0

The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

<h3>How to evaluate the expression?</h3>

The expression is given as:

3^2018 + 3^2015 / 3^2017 + 3^2016

Factor out 3^2015 in the expression

So, we have

3^2015(3^3 + 1)/3^2015(3^2 + 3)

Cancel out the common factor

(3^3 + 1)/(3^2 + 3)

Evaluate the exponents

(27 + 1)/(9 + 3)

This gives

28/12

Simplify

7/3

Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pou
evablogger [386]

Answer:

A pound of potato costs $3.10

A dozen egg costs $5.5

A wheel of cheese costs $6.25

Step-by-step explanation:

Represent

- a dozen egg with D

- a wheel of cheese with W

- a pound of potato with P

For Adam:

3D + W + 5P = 38.25 ---- (1)

For Barry:

D + 10P = 36.50 ---- (2)

For Charles:

2D + 2P = 17.20 ---- (3)

Make D the subject in (2)

D = 36.50 - 10P

Substitute 36.50 - 10P for D in (3)

2(36.50 - 10P) + 2P = 17.20

73 - 20P + 2P = 17.20

73 - 18P= 17.20

Collect Like Terms

- 18P= 17.20 - 73

- 18P= -55.8

18P= 55.8

Solve for P

P = 55.8/18

P = 3.1

Substitute 3.1 for P in D = 36.50 - 10P

D=36.50 - 10 * 3.1

D=36.50 - 31

D=5.5

Substitute 3.1 for P and 5.5 for D in 3D + W + 5P = 38.25

3(5.5) + W + 5(3.1) = 38.25

16.5 + W + 15.5 = 38.25

Solve for W

W = 38.25 - 16.5 - 15.5

W = 6.25

8 0
3 years ago
a diesel train left berlin and traveled north at an average speed of 25 km/h. A cattle train left at the same time and traveled
max2010maxim [7]

Answer:

10 hours

Step-by-step explanation:

Let N represent the distance the train heading north has traveled

Let S\\ represent the distance the train heading south has traveled

Let t represent the number of hours that has passed

N=25t\\S=35t

600=N+S

600=25t+35t\\600=60t\\t=10

6 0
3 years ago
What is 3 to the power of six
victus00 [196]

It is 729

We get this by doing 3x3x3x3x3x3


8 0
3 years ago
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How to solve -3 + 10 - 1
SCORPION-xisa [38]

Answer:

6

Step-by-step explanation:

-3+10-1

10-4

=6

hope this helps

7 0
3 years ago
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(2a-b)^2 ÷ 4a^3−ab^2 /3 <br><br> please solve this intermediately I need to know it!!!
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