Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now

Answers

Answer 1

Answer: K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.

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Solve for x.x = [?]

Use the difference of cubes for 27x^(3)-1

Answers

Note:

$(a-b)^3=a^3-3a^2b+3ab^2-b^3\n\mathrm{or,\ }(a-b)^3=a^3-b^3-3ab(a-b)\n\mathrm{or,\ }a^3-b^3=(a-b)^3+3ab(a-b)\n\mathrm{or,\ }a^3-b^3=(a-b)[(a-b)^2+3ab]\n\mathrm{or,\ }a^3-b^3=(a-b)(a^2-2ab+b^2+3ab)\n\therefore\ a^3-b^3=(a-b)(a^2+ab+b^2)$

Answer:

$27x^3-1\n=(3x)^2-1\n=(3x-1)[(3x)^2+(3x)(1)+1^2]\n=(3x-1)(9x^2+3x+1)$

Answer:

To factor the expression 27x^3 - 1 using the difference of cubes formula, we can follow these steps:

1. Identify the cube root of each term. In this case, the cube root of 27x^3 is 3x, and the cube root of 1 is 1.

2. Write the formula for the difference of cubes, which is: a^3 - b^3 = (a - b)(a^2 + ab + b^2).

3. Replace "a" with 3x and "b" with 1 in the formula.

(3x)^3 - 1^3 = (3x - 1)((3x)^2 + (3x)(1) + 1^2)

4. Simplify the expression inside the parentheses.

(3x - 1)(9x^2 + 3x + 1)

Therefore, using the difference of cubes formula, we can factor 27x^3 - 1 as (3x - 1)(9x^2 + 3x + 1).

Step-by-step explanation:

A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle.

Answers

Answer: Value of w is 4 units and the equation is correct.

Step-by-step explanation:

Let width of a rectangle be 'w'.

Let length of a rectangle be '2w+2'.

Since we have given that

Area of rectangle = 40 square units.

As we know the formula for "Area = Length × Breadth" :

So, it becomes,

$40=w(2w+2)\n\n40=2w^2+2w\n\n20=w^2+w\n\nw^2+w-20=0\n\nw^2+5w-4w-20=0\n\nw(w+5)-4(w+5)=0\n\n(w+5)(w-4)=0\n\neither\ w=-5\ or\ w=4$

But dimension can't be negative.

So, w must be 4 units.

Hence, Value of w is 4 units and the equation is correct.

i hope this helps you

How can I work out -3 X 6?

Answers

One way to do it would be to forget about labels. So basically, 3*6=? Then just add the negative sign. (This doesn't work for all equations! Only ones like these) :D hope this helped :)

PLS HELPPPSimplify the expression by combining 1 point
like terms:
4x + 7y + 9x + 7 + 3x – 5

Answers

Answer:

16x+7y+2

Step-by-step explanation:

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket costs the shoe keeper $200, at what price is it sold

Answers

200 + 40 % = 200*1.4 = $280.00
280 - 25% = 280 * .75 = $ 210.00

200(1.4)(.75)=$210.00

Simplify:
8.7+5.8-3.1*1*2.3

Answers

$8.7+5.8-3.1*1*2.3 = (8.7 + 5.8) - (3.1 * 2.3)$

$(14.5) - (7.13)$

$7.37$

I'm assuming that 1*1 means 1 times 1 and not 1^1 so

8.7+5.8-3.1*1*2.3
pemdas so mutiplication first
-3.1*1*2.3=-3.1*2.3=-7.13 since opposite signs multiplied make negative
then addition subtraction
8.7+5.8-7.13
14.50-7.13
7.37

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