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skelet666 [1.2K]
3 years ago
10

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Step-by-step explanation:

{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}

{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}

{:}\hookrightarrow\sf \dfrac {3}{8\times 6}

{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}

{:}\hookrightarrow\sf \dfrac {1}{16}

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Which inequality represents all values of x for which the product below is defined?
Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

\displaystyle\sqrt{4x} * \sqrt{x+2}

↓

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

Step 2 ) Simplify the square root of 4.

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Step 3 ) Simplify.

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

↓

\displaystyle\ 2 \sqrt{x(x+2)}

This is now in its simplest form, so the final answer is...

\displaystyle\ 2 \sqrt{x(x+2)}

or it could be...

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Either one is correct. Only difference is one is in simplest form and one isn't.

•

•

- Marlon Nunez

7 0
3 years ago
Read 2 more answers
What is the equivalent fraction for 1/2​
allochka39001 [22]
It could be:

2/4
4/8
8/16
3/6
5/10
6/12
6 0
3 years ago
Read 2 more answers
Using the equation x+3, write one equation that has one solution, one equation that has no solution, and one equation that has i
neonofarm [45]

9514 1404 393

Answer:

  • one: x+3 = 2x
  • none: x+3 = x
  • infinite: x+3 = x+3

Step-by-step explanation:

A linear equation with variable terms on opposite sides of the equal sign will have one solution when the coefficients of those variables are different.

  x+3 = 2x . . . . has one solution (x=3)

__

There will be no solution if the variable terms on opposite sides of the equal sign have the same coefficient, but the constants are different. Such an equation can be reduced to 0 = 1, which cannot be made true by any value of the variable.

  x +3 = x . . . . has no solutions

__

There will be an infinite number of solutions if the left side of the equal sign is the same as the right side. Every value of the variable will satisfy the equation.

  x +3 = x +3 . . . . has infinite solutions

8 0
2 years ago
What is the length of the line segment with endpoints (11,−4) and (−12,−4) ?
bija089 [108]

Answer:

Length of the line segment with endpoints (11,−4) and (−12,−4)  is 23 units

Step-by-step explanation:

Given:

Endpoints are (11,−4) and (−12,−4)

To Find:

The length of the line = ?

Solution:

The length of the line can be found by using the distance formula

\sqrt{(x_2-x_1)^2 +(y_2 - y_1)^2

Here

x_1= 11

x_2= -12

y_1= -4

y_2= -4

Substituting the values

Length of the line

=>\sqrt{((-12)- 11)^2 +((-4) - (-4))^2

=>\sqrt{(-12- 11)^2 +(-4+4)^2

=>\sqrt{(-23)^2 +(0)^2

=>\sqrt{529}

=>23

8 0
3 years ago
Read 2 more answers
Mayumi plans to buy pencils and a notebook at the school store. A pencil costs $0.15, and a The notebook costs $1.59. Mayumi has
Elina [12.6K]

Answer: 0.15p+1.59n ≤ 5.00

Step-by-step explanation:

Given: A pencil costs $0.15, and a The notebook costs $1.59.

Let p = Number of pencils.

n = Number of notebooks.

Total cost of pencil and notebook = 0.15p+1.59n

Since Mayumi has $5.00.

So, Total cost of pencil and notebook ≤ $5.00

⇒ 0.15p+1.59n ≤ 5.00

Hence, the required inequality: 0.15p+1.59n ≤ 5.00

3 0
3 years ago
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