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4 years ago

Write a fraction that is equivalent to 3/12

Mathematics

2 answers:

balandron [24]4 years ago

6 0

6/8 or 20/25 or 3/6 or 25/30

daser333 [38]4 years ago

3 0

A fraction equivalent to 3/12 can be 1/4. You can multiply a same number on both numerator and denominator to get other fractions.

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Please help me with this, Thank you

lesya [120]

Answer:

y = $\frac{6}{5}$

Step-by-step explanation:

Given

6 | 5y - 1 | - 1 = 29 ( add 1 to both sides )

6 | 5y - 1 | = 30 ( divide both sides by 6 )

| 5y - 1 | = 5

The absolute value function always returns a positive value. However, the expression inside can be positive or negative, thus

5y - 1 = 5 ( add 1 to both sides )

5y = 6 ( divide both sides by 5 )

y = $\frac{6}{5}$

- (5y - 1) = 5, that is

- 5y + 5 = 5 ( subtract 5 from both sides )

5y = 0 ⇒ y = 0

As a check substitute these values into the left side and if equal to the right side then they are the solutions.

x = 0 : 6|0 - 1 | - 1 = 6 | - 1| - 1 = 6(1) - 1 = 6 - 1 = 5 ≠ 29

x = $\frac{6}{5}$ : 6 | 6 - 1 | - 1 = 6(5) - 1 = 30 - 1 = 29

Thus x = $\frac{6}{5}$ is a solution, x = 0 is extraneous

5 0

3 years ago

II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:

Neko [114]

Answer:

$h(g(x))=x^2+x-2$

$h(g(f(x))= x^2-19x+88$

Step-by-step explanation:

Composite Function

Suppose f(x) and g(x) are real functions, the composite function named $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

The composite function can be found by substituting g into f.

We are given these functions:

$f(x)=9-x$

$g(x)=x^2+x$

$h(x)=x-2$

Find:

a) h(g(x))

Substituting g into h:

$h(g(x))=x^2+x-2$

b) h(g(f(x))

First we find g(f(x)):

$g(f(x))=(9-x)^2+(9-x)$

Operating:

$g(f(x))=81-18x+x^2+9-x$

Simplifying:

$g(f(x))=90-19x+x^2$

Now find h(g(f(x)) replacing the above equation into h:

$h(g(f(x))= 90-19x+x^2-2$

Simplifying and rearranging:

$h(g(f(x))= 88-19x+x^2$

$h(g(f(x))= x^2-19x+88$

3 0

3 years ago

A half the radius, or 1/2r

KatRina [158]

Answer:

Step-by-step explanation:

Hope it's help you

Thanks me later

correct me if im wrong

5 0

3 years ago

-7 - 4 is equivalent to?

liraira [26]

Answer:

-11

Step-by-step explanation:

7 0

3 years ago

About 650,000 people live in a circular region with a 6-mile radius. Find the population density in people per square mile.

Lunna [17]

To find the population density we need to divide population by area then live on:
$density= \frac{population}{area}$

The given number live in a circular place. Area is given by formula:
$A= r^{2} \pi$
Where r is radius

Now we have:
$density= \frac{650000}{ 6^{2} \pi } =\frac{650000}{ 36 \pi }=5747.26$

The population density is 5747.26 people per square mile.

4 0

3 years ago