Paridhi S.

Tutor for two years

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Basic Math

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Question:

Mary is preparing a final exam. She study 3/2 hours on Friday, 6/4 hours on Saturday, and 2/3 hours on Sunday. How many hours she studied over the weekend?

Paridhi S.

Answer:

Mary's total hours of study = she studied on Friday + she studied on Saturday + she studied on Sunday . Mary's total hours of study = 3/2 + 6/4 + 2/3 now common denominator is 12 Mary's total hours of study = (3*6 + 6*3 + 2*4)/12 Mary's total hours of study = ( 18 + 18 + 8 ) / 12 Mary's total hours of study = 44/12 Mary's total hours of study = 11/3 hours or 3.67 hours

Number Theory

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Question:

You are on your way to find the gifts. All the gifts lie in your path in a straight line at prime numbers and your house is at 0. Find the closest gift to your house, and calculate the distance between your current position and gift and tell the distance.

Paridhi S.

Answer:

My house = 0 The closest prime number = 2 therefore the closest gift to my house is 2 the distance = 2-0 = 2.

Algebra

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Question:

Solve: 10(2x+5)-x = 10-2(x+1).

Paridhi S.

Answer:

Apply BODMAS rule: step 1: open brackets 10*2x+10*5-x = 10-(2*x+2*1) step 2: multiply 20x+50-x = 10-(2x+2) step 3: rearrange the variables on left side and numbers on right side 20x-x+2x = 10-50-2 As the variables or numbers change the side they also change their signs step 4: addition 22x-x = 10-52 two subtraction are added and a minus sign is written before it step 5: subtraction 21x = -42 step 6: take all the numbers on right side x = - 42/21 step 7: division x = -2

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