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Diano4ka-milaya [45]
2 years ago
14

Two race cars,car x an y,are at the starting point of a two km track at the same time.car x and car y make one lap every 60 s an

d every 80 sec respectively.
How long, in minutes, will it take for the faster car to be 5 laps ahead of the slower car?

Mathematics
1 answer:
tino4ka555 [31]2 years ago
4 0

Answer is attached.

Please check the image.

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Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Olegator [25]
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant. 

Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
5 0
2 years ago
Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
navik [9.2K]

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

3 0
2 years ago
Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse re
rewona [7]

Answer:

15.6%

Step-by-step explanation:

Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...

94% / 100 = 0.94

0.94^{30} = 0.156

Now we can turn this decimal into a percentage by multiplying by 100

0.156 * 100 = 15.6%

Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%

6 0
2 years ago
Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2 1/2 times the number of
kramer
Bill has 12 cards. I figured this out by making a table and drawing an equation: 

7 0
2 years ago
Pat's ending balance on his debit card last month was $233.55. This month he had $542 worth of purchases and $710 worth of depos
ad-work [718]

Answer:

$401.55                              

Step-by-step explanation:

Given:

Pat's ending balance on his debit card last month was $233.55,<u> we can consider it as opening balance for this month as carry forwarded.</u>

This month he had $542 worth of purchases.

This month he had $710 worth of deposits.

Question asked:

What is his ending balance for this month ?

Solution:

We can easily find the ending balance by subtracting purchase amount as it will reduce the balance and we will add deposits as it increase the balance of debit card.

Opening balance of debit card =  $233.55

Purchases worth of = $542

Deposit worth of = $710

<em><u>Ending balance for this month = Opening balance of debit card + Deposit - Purchases </u></em>

Ending balance for this month =  $233.55 +  $710 - $542  

                                                  = $943.55 - $542 = $401.55        

Therefore, the ending balance for this month in his debit card is $401.55                              

4 0
2 years ago
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