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masya89 [10]
3 years ago
11

Bill and Ellen have $65.00 total to go out to dinner. Knowing they need to leave 15% of their bill as a tip for the waiter, what

is the maximum amount they can spend on dinner?
A. $56.52


B. $65.00


C. $55.25


D. $74.75
Mathematics
2 answers:
galben [10]3 years ago
5 0
<span>x + 15%x = 65
x = the maximum amount they can spend on dinner.

1.15x = 65, x = 65/1.15 = 56.52
The maximum amount they can spend on dinner is (a) $56.52!

Hope this helps!</span>
murzikaleks [220]3 years ago
5 0
$65 * 0.15= 9.75, this is the total tip.
65-9.75=$55.25. 
The maximum amount of money they can spend on dinner is, C.) $55.25 
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A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods trai
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The length of the goods train is 270 meters.

Given that, a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds.

<h3>What is the distance formula with speed and time?</h3>

Speed is defined as the rate at which an object moves from one place to another in a given interval of time. It is a scalar quantity as it defines only the magnitude not the directions of an object moving. The S.I. unit of speed is m/s.

The speed of a moving object can be calculated as Speed = Distance / Time.

Now, to convert km/h to m/sec multiply the measure by 5/18.

That is, 72 × 5/18 = 20 m/sec

Let the length of the train be x metres.

So, then (x+250) / 26 = 20

⇒x+250=520

⇒x=270 meters

Therefore, the length of the goods train is 270 meters.

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brainly.com/question/7359669.

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2 years ago
Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

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y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

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y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5






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