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timama [110]
3 years ago
13

What is the answer to the problem (74x-47y)-(68x+21y)

Mathematics
1 answer:
Andrews [41]3 years ago
6 0
(74x-47y)-(68x+21y)
Add like-terms.
74x - 68x = 6x
-47y-(21y) = -68y
Your final answer is 6x-68y.
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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
What is the negative coterminal angle of 165 degrees ?
kipiarov [429]

Answer:

-195 degrees

Step-by-step explanation:

we can subtract 360 from 165 to find the negative coterminal angle.

165-360=-195

8 0
3 years ago
Read 2 more answers
Find the circumference of the circle with radius 28 cm.<br><br>​
Artist 52 [7]

The circumference of the circle that has a radius of 28 cm is: 175.9 cm..

<h3>What is the Circumference of a Circle?</h3>

Circumference of a circle = 2 × π × r, where r = radius of the circle.

Given that a circle has:

radius (r) = 28 cm

Therefore:

Circumference of the circle = 2 × π × r

Plug in the value of r

Circumference = 2 × π × 28

= 175.9 cm.

Learn more about circumference of circle on:

brainly.com/question/20489969

4 0
2 years ago
Read 2 more answers
Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be
guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0
3 years ago
Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
Zinaida [17]

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420|

69,420

7 0
3 years ago
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