All categories

3 years ago

Shane has 10/12 yard of rooe. He cut in into 5 pieces of equal length. How long was each piece

Mathematics

2 answers:

tino4ka555 [31]3 years ago

8 0

Answer: you need to divide the fraction and the whole number.........

Step-by-step explanation: 10/12 ÷ 5/1 = 2/12 = 1/6 answer is 1/6

i really hope this helped!!!!!!!!

skelet666 [1.2K]3 years ago

6 0

the answer is too because he has 10 yards of rope because he didn't finish the two factions left of yard of rope so he cut into 5 equal pieces and 10 divided by 5 is 2

You might be interested in

If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

3 years ago

What is the value of 48x +35. When x=2

Zina [86]

48x + 35
x = 2
plug in 2 for x
48(2) + 35
multiply 2 and 48 together
48 x 2 = 96
add the product (96) with 35
96 + 35 = 131
answer is 131

131 is your answer

hope this helps

8 0

3 years ago

Read 2 more answers

Explain how finding 4 times 384 can help you find 4 times 5,384

Mumz [18]

Well, 5384 is 5000 bigger than 384. So you would add 20000 (4*5000) to the answer of 4*384, which is 1536.
So 1536+20000=21536

4 0

3 years ago

Read 2 more answers

Which ordered pair (r, s) is the solution to the given system of equations?

SSSSS [86.1K]

Answer: