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Temka [501]
4 years ago
7

NEED ANSWER ASAP!! Find x

Mathematics
1 answer:
sineoko [7]4 years ago
6 0

Step-by-step explanation:

\frac{48}{2x + 7}  =  \frac{40}{5x - 2}  \\ 48(5x - 2) = 40(2x + 7) \\ 240x - 96 = 80x + 280 \\ 240x - 80x = 96 + 280 \\ 160x = 376 \\  \frac{160x}{160}  =  \frac{376}{160}  \\ x = 2.35

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Answer:

approximately 43 - 44 minutes exact

7 0
3 years ago
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The following distribution shows the frequency of daily revenue for an Italian restaurant in Wilmington, Delaware. Revenue Frequ
sergejj [24]

Answer:

The probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

Step-by-step explanation:

The frequency distribution of daily revenue for an Italian restaurant in Wilmington, Delaware is:

     <u>Revenue</u>      <u>Frequency</u>

   Under $2,000        18

$2,000 -  $4,000      10

$4,000 -  $6,000     26

$6,000 -  $8,000      14

$8,000 - $10,000       8

   Over $10,000           4

          Total                 80

The probability of an event <em>E</em> is defined as:

P(E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcome

N = total outcomes

The favorable outcomes of the event <em>X</em> : "more than $6,000 in revenue" is defined as:

n (X) = 14 + 8 + 4 = 26

Total number of outcomes is, <em>N</em> = 80.

Compute the probability of the event <em>X</em> is:

P(X)=\frac{n(X)}{N}=\frac{26}{80}=0.325

Thus, the probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

6 0
3 years ago
Luca is planning to pay the restaurant bill for his coworkers. The bill was $193.75. A 4% tax was then added by the waiter. If L
horrorfan [7]

Answer:

If Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.

Step-by-step explanation:

First, you have to calculate the 4% of the bill and add that amount to the total of the bill to determine the total amount including the tax:

193.75¨*4%=7.75

193.75+7.75=201.5

Now, you have to calculate 16% of the amount including the tax:

201.5*16%=32.24

According to this, the answer is that if Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.

4 0
3 years ago
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How is solving for speed similar to solving for time?
Artemon [7]

Answer:

<u>Speed equals distance divided by time.</u>

<u>Time equals distance divided by speed.</u>

So, you use one of them... either speed or time... to solve for the other.

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The volume of a right circular cone is latex: v=\frac{1}{3}\pi r^2h v = 1 3 π r 2 h . suppose a cone has a constant height of h
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V  =  (1/3)·π·r²·h                     First, multiply both sides by 3:

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3V / (π·h)  =  r²                       Finally, take the square root of both sides:

±√[ 3V / (π·h) ]  =  r²              If you are in algebra, you need the ±; if you are in geometry, you probably                                                      don't (usaully, you don't have negative radii).


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4 years ago
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