All categories

3 years ago

Perform the following division:

1 answer:

7 0

Hey!

Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction. To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

Original Fraction :
$3 \frac{3}{4}$

New Fraction {Changed by Conversion} :
$\frac{15}{4}$

Now that we've successfully done that we'll have to change the equation.

Old Equation :
$\frac{15}{4}$ ÷ $\frac{2}{8}$ = ?

New Equation {Changed by Flipping the Second Fraction and the Symbol} :
$\frac{15}{4}$ · $\frac{8}{2}$ = ?

Now we multiply straight across.

Old Equation :
$\frac{15}{4}$ · $\frac{8}{2}$ = ?

Solved :
$\frac{120}{8}$

Almost done!
Now we have to simplify the fraction.

Old Fraction :
$\frac{120}{8}$

New Fraction {Changed by Simplification} :
$\frac{15}{1}$

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

So, $3 \frac{3}{4}$ ÷ $\frac{2}{8}$ equals 15.

Hope this helps!

- Lindsey Frazier ♥

You might be interested in

Diana ran a total of 9 3/4 miles over three days. She runs the same distance each day. How many miles did Diana run each day?

Natasha2012 [34]

Answer:

3 1/4

Step-by-step explanation:

4 0

3 years ago

What is the answer to (-2)^3-2^3

ANEK [815]

Approaching algebraicly(Take 2 as x)
(-x)^3-x^3
Simplify
Result is -2x^3
Put back 2
-2(2)^3 = -2(8)
= -16

6 0

3 years ago

This net will be folded to form a solid.

emmasim [6.3K]

Answer:

2,5, and 6

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Someone please help me with this asap

Leokris [45]

Answer:

All of these terms are dollar amounts.

Step-by-step explanation:

Here, x + y = 10 (where these numerals represent counts)

(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)

Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining

-2x - y = -16, and then combining this with the 1st equation, as follows:

-2x - y = -16

x + y = 10

-------------------

-x = -6, or x = 6. This represents the number of pens purchased by Terrance.

Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.

($0.50)x + ($0.25)y = $4.00 (dollar amounts)

5 0

3 years ago

Please review the following attachment. Thanks!

vaieri [72.5K]

Answer:

C: I and III only.

Step-by-step explanation:

We have two numbers x and y such that:

$-y$

And we want to determine which of the following conditions must be true.

First, let's examine the third condition. We have:

$y>0$

To see if this is true, let's try a negative value for y. So, let's use -7. This will give:

$-(-7)$

Simplify:

$7$

This is saying we need a number less than -7 and greater than 7.

This is impossible. So, y must be greater than 0.

Therefore, Condition III must be true.

Next, let's see this compound inequality visually.

Picture the following number-line:

<----------(-y)----------0----------y---------->

Whatever y is, -y is just y on the negative side.

Now, since our condition is that -y<x<y, this means that our x can be anywhere between -y and y. Namely:

<----------(-y)----------0----------y---------->

To determine our correct condition, let's picture x anywhere on the bolded lines. I'm just going to put x here...

<----------(-y)-------(x)--0----------y---------->

Now, remember the alternative definition for absolute value. Namely, the absolute value of x is also the distance from 0 to x. And this distance is always positive.

Since our x is between -y and y, our distance from 0 to x will always be less than the distance from 0 to either y.

Therefore, Condition I is also true.

Let's try an example. Let's let y = 9. So, -y=-9. And let's let x be between 9 and -9, say, -2. So:

<---(-9)-----(-2)--0--------(9)------>

We can see that:

$|-2|=2\stackrel{\checkmark}{$

Also, this example counters Condition II, as our x can indeed be negative if we desire it.

Algebraically, if we have a negative x such that:

$-y$

We can divide everything by -1 to obtain:

$y>x>-y$

We can flip this to get:

$-y$

Which is our original inequality. So, Condition II does not need to be true.

So, the two conditions that must be true is I and III.

So, our answer is C.

3 0

3 years ago