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the ratio of the areas of 2 lots is 3:4. If the smaller lot has an area of 270 sq.m, what is the area of the larger lot?

4/3 x 270 = 360 sq.m. - Area of the larger lot.

Yes you are right - I make heaps of typos :))

34715*6.5=225647.5 cent or 2256.475 dollars

-.05

-0.7

1 Blueberry costs 4000 coins. I have 150000 Coins. How many blueberries can i buy?

150,000 / 4,000 =37.5?????=~38 Blueberry you can buy. Looks like you made this one up yourself!!.

why is maths in construction

1 meter = 1.094 yards =3.281 feet=39.37 inches.

Melody:

I think you have a "typo" in your calculations:

1000000=1300000/(1+r)^2

10 = 13 / [1+r]^2

10[1+r]^2 = 13

[1+r]^2 =1.3

1+r =sqrt(1.3)

1+r =1.1402

r =1.1402 - 1

r = .1402 x 100

r =14.02%

A man is selling watermelons. He has 15 watermelons in his cart with an average weight of 3.4kg. The man sells 2 watermelons and the average increases to 3.8kg. What was the combined weight of the 2 watermelons sold?

original total weight =  15* 3.4 = 51Kg

afterwards total weight is  13*3.8 = 49.4Kg

so the sold watermellons weighed a total of     51-49.4 = 1.6Kg      They were very little !!

a cone has a base diameter of 2.8 meter and a slant height of 2.5 meter. find the angle that the cone makes with the vertical at the top of the cone?

Draw the pic and maybe you will be able to see what you are being told more easily.

radius is 1.4

slant height = hypotenuse = 2.5

the vertical up the centre of the cone is at right angles to the radius

you want the angle of the triangle up the top between the central perpendicular and the hypotenuse

sin(angle)=1.4/2.5

etc

When you are making sense of numbers in any base you always start with the digit that is furthest to the right.

base 10      The number is 93052316₁₀         (Start with the 6)

base 2      The number is    10111001₂ 

128+32+16+8+1 = 185 base 10

1000000=1300000/(1+r)^2

\( 10=\frac{3}{(1+r)^2}\\ 10=\frac{3}{(1+r)^2}\\ (1+r)^2=0.3\\ 1+r=\pm\sqrt{0.3}\\ r=\;-1\pm\sqrt{0.3}\\\)

Thank you Alan,

I will       :D

Have a look at this Youtube video:  https://www.youtube.com/watch?v=bYZWW0fSLJU 

Thanks Alan,

Both Chris and I have seen you do that before, I remember because we talked about it, but niether of us understood it.

I've never done binomial expansions with fractional indices....not that I remember anyway......

Small correction:  in my fourth expression above the term beginning 1/8 should be preceded by a minus sign, not a plus sign.

Pair them up as follows:   (53 + 47) + (18 + 82) → 100 + 100 → 200

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Let's simplify and solve the first two equations.

If we subtract 2 from both sides to x+y+2=6, it becomes x+y=4.

If we subtract 2 from both sides to 2x-y+2=3, it becomes 2x-y=1.

Now, If we add the two equations, x+2x=3x, y+(-y)=0,4+1=5. ->3x=5. Thus, x=3/5=0.6.

Because x+y=4, y=4-0.6=3.4.

Now plug in the values of x and y in the 3rd equation, and we get 3(0.6)+0(3.4)-z=1.8-z=0. So, x=1.8-0=1.8.

Review: x=0.6, y=3.4, z=1.8.

Oops, sorry, I should have put in more explanation:

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Hope this makes it clearer!

Because the numerator and denominator are both divisible by -2, divide both sides by -2, making the fraction 3/7. From that point, there is no factorization possible. Therefore, 3/7 is the answer, or 0.428571428571..... in decimal representation.