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2 years ago

Find the product 5/6 * 30

1 answer:

4 0

25

Explanation:

5/6 • 30/1

Because 30 is a whole number one puts it over 1 and since it’s multiplication one multiplies straight across

Leaving:

150/6

And that simplifies to 25

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Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.

Olenka [21]

Answer:

$\frac{(9-x)}{3x}$

Step-by-step explanation:

we have

$\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}$

step 1

Solve the numerator of the quotient

$\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}$

step 2

substitute in the original expression

$\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}$

$\frac{(x-3)(9-x)}{3x(x-3)}$

step 3

simplify

$\frac{(9-x)}{3x}$

5 0

3 years ago

Simplify the expression state any excluded values 2a^2-4a+2 --------------- 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

4 years ago

A used motorcycle is priced at $3,438. If you borrow the money for the motorcycle, your payments will be $165 per month for 24 m

bonufazy [111]

You will save $522 by paying cash. 165*24=3960 3960-3438=522

6 0

3 years ago

Can someone explain how to do these. Also on number 2, how do u find the ratio ?

KIM [24]

9514 1404 393

Answer:

2. D

3. B

4. D

5. A

Step-by-step explanation:

2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*

soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3

3. The angle bisector has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.

4. The median is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.

5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.

_____

* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.

Here, that looks like ...

84 / 36 = 2 r 12

36 / 12 = 3 r 0 . . . . . 12 is the GCF

4 0

3 years ago

A bike with an original price of $90 is discounted 40%. What is the sale price?

Mila [183]

So you do $90 times .40 because 40%=.40 then next you set up your problem

90x.40=36

In total the sales price is $36

5 0

3 years ago

Read 2 more answers