Mathematics : asked on jaidon28
 05.12.2021

3. The average of two numbers is 55. If their positive difference is 64, then determine the two numbers algebraically.

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Step-by-step answer

24.06.2023, solved by verified expert
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the numbers are 41 and 23

Step-by-step explanation:

Given data

let the numbers be x and y

x+y/2= 55

cross multiply

x+y= 1101

positive difference is 64

x-y= 642

solve 1 and 2

x+y= 110

x-y= 64

from 1

x= 110-y

put the value of x in 2

110-y-y=64

110-2y=64

110-64=2y

46=2y

y= 46/2

y=23

put y= 23 in 2

x-23= 64

x= 64-23

x=41

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Mathematics
Step-by-step answer
P Answered by PhD

the numbers are 41 and 23

Step-by-step explanation:

Given data

let the numbers be x and y

x+y/2= 55

cross multiply

x+y= 1101

positive difference is 64

x-y= 642

solve 1 and 2

x+y= 110

x-y= 64

from 1

x= 110-y

put the value of x in 2

110-y-y=64

110-2y=64

110-64=2y

46=2y

y= 46/2

y=23

put y= 23 in 2

x-23= 64

x= 64-23

x=41

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

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Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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