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ANEK [815]
3 years ago
15

Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o

f the bill how much did Bob spend for tax and tip combined how much did Bob spend in all?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

$54

Step-by-step explanation:

First

45 times .05= 2.25

Second

45 plus 2.25

Third

45 times .15= 6.75

Fourth

45+2.25+6.75

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The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its n
Tamiku [17]

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

4 0
3 years ago
Z^m-n (z^m+ z^m+n + z^n)
rusak2 [61]

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

8 0
3 years ago
Is (-3,4) a solution to the equation y=3x+107<br> O A solution<br> O Not a solution
Ira Lisetskai [31]

Answer:

no

Step-by-step explanation:

its is not a solution, however if the equal sign actually looks like

\leqslant

then it would be yes

4 0
2 years ago
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1/3x + 8x^4 - 2/3x^2 - x in standard form
leva [86]

Answer:

8x^{4}-2/3x^{2}-2/3x

Step-by-step explanation:

8 0
3 years ago
Given the equation y = 2x - 8, what is the slope and the y-intercept?
aniked [119]
The answer to this is the second choice
4 0
3 years ago
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