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Maths

Express 24 as a product of its prime factors

*2*x12 *3*x4 *2*x*2* 24=2x2x2x3

Muhammed Cheychi
·

229 students helped

Maths

A number x rounded to 1 decimal place is 12.3

the error interval for the number is: 12.25<= x < 12.35

Simran Dhillon
·

555 students helped

Maths

If £2000 is placed into a bank account that pays 3% compound intrest per year, how much will be in the account after 2 years

There are 2 ways we could solve this question. THE LONG WAY: We add 3% to the capital sum (i.e. 2000 pounds) to find how much money we have after 1 year and then add 3% percent to that sum to find how much you have after two years. If the compound interest is 3% then that essentially means that after 1 year you have 103% of the original i.e. we have 100% of the original which is just the value... more

Lilli Ganzer
·

151 students helped

Maths

P is the midpoint of AD. AQ:QB=2:3. Show that PQ is parallel to CB

Step-by-step explanation: AB and CD are parallel lines. We are given P and Q are mid point of AD and BC respectively. Line AD and Line BC are segmented equally by line PQ which is drawn between parallel lines AB and CD. Hence lines AB, CD and PQ are parallel to each other. In AABD, PR is the line parallel to AB and passing through the midpoint P of side AD. Hence PR = (1/2)AB…(1) Similarly, in ABC... more

Karan Mahendra Jain
·

6.3k students helped

Muhammed Cheychi
·

229 students helped

Maths

In a school choir 3481 students line up to form a square. Find the number of students in each row.

First, let’s visualise the problem. Students are lined up in rows to form a square. We can imagine this as dots on a square grid. A 2x2 grid would have 4 dots. A 3x3 grid would have 9 dots. A 4x4 grid would have 16 dots. We see the pattern is that the number of dots (or students in our case) is equal to the square of the number of dots/students per row. Our answer is therefore simple. The numbe... more

Sayeed Ahmed
·

88 students helped

Maths

What are the values of x using the factorization method in 4x^2 - 2x -15=0

You would use the quadratic formula: x = -b +- square root of b^2 - 4ac / 2a ax^2 + bx + c = 0 4x^2 - 2x - 15 = 0 using this we know that a = 4, b = -2 and c = -15 the we substitute those values into the equation on a calculator: x = -(-2) + square root (-2)^2 - 4(4)(-15) / 2(4) x = -(-2) - square root (-2)^2 - 4(4)(-15) / 2(4) this gives x to be x = 1 +- square root 61 / 4

Simran Dhillon
·

555 students helped

Maths

Make x the subject of 2y+3=5x-18

x =(2y + 21)/5 Hope this helps!

Harry O'Shea
·

40 students helped

Zayna Ak
·

519 students helped

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