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3 years ago

PLS DO ALL thank you

Mathematics

1 answer:

Rasek [7]3 years ago

6 0

-2 > -4
1 > -3
5 > 0

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Please Help- K + ⅓ = 5 ⅛ | K = ? Show Your Reasoning.

blondinia [14]

Answer:

$4\frac{19}{24}$

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

$K + \frac{1}{3} = 5\frac{1}{8}$

Next thing to to is subtract 1/3 from both sides to get:

$K = 5\frac{1}{8} - \frac{1}{3}$

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

$K = 5\frac{3}{24}$ $-\frac{8}{24}$

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = $\frac{123}{24}$ $-\frac{8}{24}$

Finally, you subtract 123 over 24 by 8 over 24.

K = $\frac{123}{24} - \frac{8}{24} = \frac{115}{24}$

Then just simplfy the 115/24 to get

$4\frac{19}{24}$

8 0

3 years ago

A) Simplify X-2 7(x - 2)2

Finger [1]

Answer:

welp-

7(x - 2)2 = 14(x-2) = 14x-28

I hope this helps:)

-♥

6 0

2 years ago

The length of a rectangle is twice its width. if the perimeter is 72 meters, find the length and width of the rectangle

madam [21]

Length(l)= 2w
width(w)= w

Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units

find length:
l=2w
l= 2(12)
l= 24 units

Answer:
The length of this rectangle is 24 units and the width is 12 units.

6 0

3 years ago

Solve the equation without the use of a calculator. please Help!!! Thank you!!! 12x^3-30x=5-2x^2

nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

$12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0$

Now that we've factored our equation, we can use ZPP and break it up:

$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$