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AleksandrR [38]
3 years ago
3

Visitors to a public library were asked how many miles they lived from the library. The table shows their responses.

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

x¯ = 3.7 mi

Step-by-step explanation:



Step-by-step explanation:

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Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
Klio2033 [76]

Answer:

$110.

Step-by-step explanation:

Let x be the cost of item that Carmen purchased from departmental store.

We are told that Carmen has $30 in store bucks and a 25% discount coupon for a local department store. We are asked to find the cost of Carmen's purchase so that after her store bucks and discount are applied, her total is no more than $60 before sales tax.  

As the $30 store bucks are applied before the 25% discount is applied, so we need to find x such that x-30 minus 25% of (x-30) should be less than or equal to 60. We can represent this information in an equation as:

x-30-((x-30)\times\frac{25}{100})\leq 60    

x-30-((x-30)\times 0.25)\leq 60

x-30-(0.25x-7.5)\leq 60    

x-30-0.25x+7.5\leq 60  

0.75x-22.5\leq 60  

0.75x-22.5+22.5\leq 60+22.5

0.75x\leq 82.5  

\frac{0.75x}{0.75}\leq \frac{82.5}{0.75}

x\leq 110    

Therefore, Carmen should make purchases at-most for $110 so that her total is no more than $60 before, sales tax.

3 0
2 years ago
Read 2 more answers
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Loo
otez555 [7]

Answer:

Kelvin wrote 60 the wrong way.

He has to write $30.65 - 60%, not 0.60.

Here is the final correct equation:

$30.65 - 60% = 12.26

6 0
2 years ago
Read 3 more answers
The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other
Law Incorporation [45]

Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

  • x*\frac{14}{25} = \frac{-28}{75}
  • x = \frac{-28}{75} * \frac{25}{14}          inverse 14/25 since it's a fraction
  • x = \frac{-28*25}{75*14}
  • x = \frac{-4*7*25}{25*3*7*2}          write 75 as 25*3 and -28 as -4*7 to simplify
  • x = \frac{-4}{6}            -4 is left on the top and 6 = 3*2
  • x = \frac{-3*2}{2*2}
  • x=   \frac{-3}{2}      
8 0
2 years ago
Elias and Niko are polishing the silver at the heritage museum.Elias could polish all the silver himself in 40 minutes.That task
irina1246 [14]

Let x be the time it takes Elias and Niko to polish the silver working together. If Elias works alone, he could polish all the silver himself in 40 minutes. Then, in 1 minute, he will make \frac{1}{40} of the total work. If the same analysis is applied Niko, in 1 minute, will make \frac{1}{50} of the total work.


Working together Elias and Niko will need x minutes to make all the work. Then, in 1 minute, they will make \frac{1}{x} of the total work.  So, the fraction of the total work they make in 1 minute is given by this equation:

\frac{1}{x}=\frac{1}{40}+\frac{1}{50} \\ \\ \frac{1}{x}=\frac{50+40}{2000} \\ \\ x=\frac{2000}{90} \\ \\ \boxed{x=22.22 minutes}

6 0
2 years ago
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You are having a meeting with the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit
LenaWriter [7]
The shape of the graph is similar to the letter W; however, the region of interest will lie on the right of the origin, which means only the right half of the W(a negative number of cans cannot be produced). The profit produced will be maximized if the number of cans produced is greater than 3. The company will be at a loss if the number of cans produced is near 2.5. The break even situations are present if the company produces 2 or 3 cans.
4 0
2 years ago
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