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madreJ [45]
2 years ago
14

Is 3/12 a rational number

Mathematics
2 answers:
dusya [7]2 years ago
5 0

Answer:

3/12 is actually a quarter which is equal to 0.25.

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator,p, and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

Yes it is...

:)

Hope I got it right :P

coldgirl [10]2 years ago
3 0

Answer: It is

Step-by-step explanation:

3/12 is actually a quarter which is equal to 0.25. It certainly isn't an irrational number, but is indeed a rational one.

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
Based on the data, which table shows a constant of proportionality of 3 for the ratio of amps to guitars
Dafna1 [17]

Answer:

table d

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help with algebra 2 I can’t figure out how to solve the problem .
defon

Answer: D

Step-by-step explanation:

Using the equation plot in the coordinates of the points to see if they fit the equation.

5x-3y < 30  

A)  5(-3) -3(5) < 30

   -15 -15 < 30

    -30 < 30   This is true

B)  5(0) -3(0) < 30

     0 - 0 < 30

     0< 30     This is true

C)  5(-5) - 3(3) < 30

    -25 - 9  < 30

      -34 < 30    This is also true

D) 5(3) - 3(-5) < 30  

   15 + 15 < 30

  30 < 30         This is not true because 30 is not greater that 30

   

3 0
3 years ago
Find the equation of a line that is perpendicular to line g that contains (P, Q). coordinate plane with line g that passes throu
maw [93]

Answer:

y - Q =  -  \frac{1}{4}(x - P)

Step-by-step explanation:

Line g passes through (-2,6) and (-3,2).

The slope of line g is given by:

\frac{ y_2-y_1}{x_2-x_1}

Let's substitute the values to get:

\frac{2 - 6}{ - 3 -  - 2}= \frac{ - 4}{ - 1}  = 4

The equation that is perpendicular to line g will have a slope that is the negative reciprocal of 4.

i.e -1/4

If this line passes through (P,Q), then the equation is:

y - Q =  - \frac{1}{4} (x - P)

7 0
3 years ago
PLEASE HELP!!on a piece of paper graph f(x)=2•(3)^x.Then determine which answer choice matches the graph you drew.
Dahasolnce [82]

Answer:

Graph B

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2(3)^{x}

This is a exponential function

of the form

f(x)=a(b)^{x}

where

a is the initial value

b is the base

r is the rate

b=1+r

In this problem

a=2 ----> the y-intercept

b=3

so

1+r=3 -----> r=3-1=2 -----> r=200%

so

The y-intercept of the graph is equal to 2

As x increases the value of f(x) increases

therefore

Graph B

4 0
3 years ago
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