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alekssr [168]
3 years ago
14

Q.1 The park's sprinklers can spray 1,748 gallons of water on the grass in 38 minutes. How many gallons can they spray in one mi

nute?
Q.2 The auto factory will build 1,408 new trucks in the next 32 days. How many will it build in one day?


Q.3 Pizza Depot will open 31 new restaurants next year. Each restaurant will need 27 employees. How many employees will Pizza Depot need to hire for the new restaurants?


Q.4 The parking lot has 1,326 spaces to hold cars. The lot is divided into 26 equal rows. How many cars will be parked in each row?


Q.5
If a machine makes 761 pencils in a second, how many pencils can it make in 23 seconds?


Q.6
In the Big Apple(New York City), each mail truck has 1,023 pieces of junk mail. If there are 71 mail trucks, how much junk mail do they have in total?

Thank in advance to those who answer this question, seriously. :)
Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0
Q.1: 
1748/38=46
The sprinkler can spray 46 gallons of water in 1 minute.

Q.2:
1408/32=44
The auto factory can build 44 trucks in 1 day.

Q.3:
31*27=837
They need to hire 837 employees.

Q.4:
1326/26=51
The parking lot will have 51 cars per row.

Q.5:
761*23=17503
The machine can make 17,503 pencils in 23 seconds

Q.6:
1023*71=72633
The mail trucks have 72,633 pieces of junk mail in total.
OleMash [197]3 years ago
4 0
1748/38=how many gallons in a minute
Q.1 answer 46
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<u>Solution</u><u>:</u>

The rationalisation factor for \frac{1}{ a -  \sqrt{b}  } is a + \sqrt{b}

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Therefore, multiplying and dividing by 5 + √2, we have

=  \frac{1}{5 -  \sqrt{2} }  \times  \frac{5 +  \sqrt{2} }{5 +  \sqrt{2} }  \\  =  \frac{5 +  \sqrt{2} }{(5 -  \sqrt{2})(5 +  \sqrt{2} ) }  \\  =  \frac{5 +  \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2}   }  \\  =  \frac{5 +  \sqrt{2} }{25 -  2}  \\  =  \frac{5 +  \sqrt{2} }{23}

<u>Answer:</u>

<u>\frac{5 +  \sqrt{2} }{23}</u>

Hope you could understand.

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