(2/5)^2 / (1/5) + (2 - 4) / (8 + 2) * (-3)?

Question

can't figure this out, can anyone help. also, is there a good website that I can get help on learning this stuff?

Answer 1

7/5.

(2/5)^2 = 4/25, then divide by (1/5) to get 4/5.

As for the rest, it's (-2) * (-3) / 10 = 6/10 = 3/5.

3/5 + 4/5 = 7/5.

Answer 2

First, place the equation in nicely-known variety by potential of polishing off the squares: (x^2 - 2x + a million) + (y^2 - 4y + 4) = 8 + a million + 4 <=> (x - a million)^2 + (y - 2)^2 = 13 This tells us that the middle of S is at (a million, 2), and it has a radius of sqrt(13). --section A-- First, we ought to coach that A(-a million, -a million) and B(3, 5) lie on S. For A, (-a million - a million)^2 + (-a million - 2)^2 = 4 + 9 = 13, gratifying the equation. consequently, A lies on S. For B, (3 - a million)^2 + (5 - 2)^2 = 4 + 9 = 13, additionally gratifying the equation. A and B the two lie and S. permit AB = the line intersecting factors A(-a million, -a million) and B(3, 5). If it passes in the process the middle (a million, 2) of S, then it rather is a diameter. permit's locate the equation of AB: by potential of the slope formulation, it has a slope m = 3/2 and, using the slope-intercept equation and substituting the coordinates for factor A, we are in a position to locate its y-intercept b: -a million = -3/2 + b <=> b = a million/2. consequently, the equation of AB may be expressed as y = 3x/2 + a million/2. to locate if AB passes in the process the middle (a million, 2) of S, we substitute x=a million and y=2 interior the equation for AB: 2 = 3/2 + a million/2 = 2. (a million, 2) satisfies the equation for AB, so AB passes in the process the middle of S, and AB is a diameter. --section B-- Substituting C(4, 4) into the equation for S: (4 - a million)^2 + (4 - 2)^2 = 9 + 4 = 13. This satisfies the equation, and C lies on S. permit PQ be a horizontal diameter of S. build a vertical line BG passing by way of B and intersecting PQ at G(3, 2). build a vertical line CH passing by way of C and intersecting PQ at H(4, 2). permit O(a million, 2) be the middle of S. Then, the triangle BGO has section lengths BG = 3 and OG = 2. to locate the attitude lavatory at O, notice that tan(lavatory) = 3/2 <=> lavatory = arctan(3/2). The triangle CHO has section lengths HO = 3 and CH = 2, and the attitude COH at O is such that: tan(COH) = 2/3 <=> COH = arctan(2/3) the attitude BOC = lavatory - COH ? 0.39479? radians.

Answer 3

PEMDAS... Please Excuse My Dear Aunt Sally... Parenthises, Exponents,[ Multiply, Divide],[ Add, Subtract]... those are the order of operations... ... same with

(2/5)^2 is first... (2/5)(2/5) = 4/25

then...

divide by 1/5.. or.. multiply by the inverse..5/1.. (4/25)(5/1)= 20/25 = 4/5 for the part before the addition...

then... do the part AFTER the addition sign...

(2-4) = -2

(8+2) = 10

-2/10 = -1/5

(-1/5)*(-3) = 3/5


now.. add the two parts...

4/5 + 3/5 = 7/5

Answer 4

First do the bits inside the brackets/parentheses (eg. the (8 + 2)), then do the dividing, then do the multiplying, then do the adding and subtracting. Always do it in that order.

You can remember it by BoDMAS:

Brackets
Division
Multiplication
Addition
Subtraction

Remember that the squared just means the (2/5) multiplied by itself, so (2/5)*(2/5) = (4/25) (Multiply the top numbers together and the bottom numbers together).

Also remember that when you divide by a fraction, you actually multiply by the fraction upside down, so to divide by (1/5) you multiply by 5.

Answer 5

(2/5)^2 = 4/25
Divide by (1/5) to get 4/5.
The next term is (2-4)/(8+2)*(-3)=(-2/10)*(-3)=3/5
Add these: 4/5 + 3/5 = 7/5 =1 and 2/5
HTH

Answer 6

(2/5)^2 / (1/5) = 4/5

(2/5)^2 / (1/5) + (2 - 4) / (8 + 2) * (-3) =
4/5 + 2/10*3 =
8/10 + 6/10 = 14/10 = 1 + 2/5 ( = 1.4)

Answer 7

BODMAS

Arithmetic priority
First: brackets or parenthesis
Second: division
third: multiplication and exponents
forth: addition and subtraction
fifth: negation (uniary subtraction)

my answer: 1.4

(2/5)^2 / (1/5) = 4/5 = 0.8
(2 - 4) / (8 + 2) = -0.2
(2 - 4) / (8 + 2) * (-3) = 0.6
(2/5)^2 / (1/5) + (2 - 4) / (8 + 2) * (-3) = 0.8 + 0.6 = 1.4

Just remember BODMAS. I remembered it after 30 odd years...

Answer 8

7/5

Answer 9

It's a bunch of work to do these and no one can claim to have shortcuts or be able to do them as fast as a computer can. But doing them is the first step in understanding how things work - besides being enabled to do your income taxes with them. It is not so hard to go on to geometry, trigonometry, and calculus. Everyone should know calculus. It should be taught in high school - and is in some places. Digital software is available on learning it. Remember, once a person knows these mathematical concepts, they know them forever and it is like a key that opens doors.

Answer 10

I believe the answer is 4/15.