TutorMe homepage
Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Imran D.
Passionate About Mathematics
Tutor Satisfaction Guarantee
Pre-Algebra
TutorMe
Question:

Evaluate 8x + 7 given that x - 3 = 10

Imran D.
Answer:

x - 3 = 10 (given equation) x = 10 + 3 = 13 (On solving the given equation) On substituting x by 13 in the given expression, we get 8(13) + 7 = 111

Basic Math
TutorMe
Question:

What is 0.4% of 36?

Imran D.
Answer:

0.4% of 36 = X 0.4/100 of 36 = X 0.4/100 = X/36 0.4 x 36 = 100 X 14.4 = 100 X so, divide 14.4 by 100 which moves the decimal place 2 places to the left i.e. 0.144 so, X = 0.144

Set Theory
TutorMe
Question:

Set P comprises all multiples of 4 less than 500. Set Q comprises all odd multiples of 7 less than 500. Set R comprises all multiples of 6 less than 500. How many elements are present in P ∪ Q ∪ R?

Imran D.
Answer:

Set P = {4, 8, 12, ….496} ↦ 124 elements {all elements from 1 * 4 to 124 * 4} Set Q = {7, 21, 35, 49,……497} ↦ {7 * 1, 7 * 3, 7 * 5, ….. 7 * 71} ↦ 36 elements. Set R = {6, 12, 18, 24, …..498} ↦ {6 * 1, 6 * 2, 6 * 3, ….. 6 * 83} ↦ 83 elements. Sets P and R have only even numbers; set Q has only odd numbers. So, P ∩ Q = Null set Q ∩ R = Null set P ∩ Q ∩ R = Null set So, If we find P ∩ R , we can plug into the formula and get P ∪ Q ∪ R P ∩ R = Set of all multiples of 12 less than 500 = {12, 24, 36,…..492} = {12 * 1, 12 * 2 , 12 * 3, …12 * 41} ↦ This has 41 elements P ∪ Q ∪ R = P + Q + R – (P ∩ Q) – ( Q ∩ R) – (R ∩ P) + (P ∩ Q ∩ R) P ∪ Q ∪ R = 124 + 36 + 83 – 0 – 0 – 41 + 0 = 202

Send a message explaining your
needs and Imran will reply soon.
Contact Imran
Ready now? Request a lesson.
Start Session
FAQs
What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Session" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.