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LiRa [457]
3 years ago
7

Find two numbers for which the sum is 101 and the difference is 47

Mathematics
2 answers:
xenn [34]3 years ago
8 0
74 and 27

74+27=101
74–27=47

Plzzz mark as brainleast plzzz plzzz
ANEK [815]3 years ago
5 0

Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

       2y= 101 - 47

       2y=54

         y= 54/2

         y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

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find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​
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<h3>☂︎ Answer :- </h3>

  • 8100
<h3>☂︎ Solution :- </h3>

  • LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
  • 2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

7 0
2 years ago
What is the x-intercept of the equation: 3x+6y=42
vlabodo [156]

Answer:

( 14 , 0 )

Step-by-step explanation:

4 0
2 years ago
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If d = 390 mi, and r = 60 mi/h. what is the value of time (t)?
Jobisdone [24]
D = 390mi
r = 60 mi/h

390/60 = 6.5

(t) = 6.5 h
5 0
3 years ago
What is the equation of the circle center (0, 3) and radius 4?
Sunny_sXe [5.5K]

Answer:

( x )² + ( y - 3 )² = 16

Step-by-step explanation:

The general format for circular equations is ( x - a )² + ( y - b )² = r²

3 0
3 years ago
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I would like to purchase 20 products at a cost of $65 per product. What would be my total with 3.5 sales tax
alexandr402 [8]

Answer:

Answer:

The total is: $ 1345.5

Step-by-step explanation:

It is given that:

I would like to purchase 20 products at a cost 65.00 per product.

This means that the cost of 20 products will be:

Also, there is a sales tax of 3.5%

This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.

i.e. he need to pay 3/5% on $ 1300

This means that the amount of tax he need to pay is: 3.5% of 1300

                                                                             =  3.5%×1300

                                                                            = 0.035×1300

                                                                           = $ 45.5.

Hence, the total cost is: $ 1300+$ 45.5

This means that the total cost is: $ 134.5

8 0
3 years ago
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