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3 years ago

2 1/2 =1 2/3 ÷y please help.... it would mean alot & its worth 100 points!

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

y= $\frac{2}{3}$

Step-by-step explanation:

change them to improper fractions

2 1/2= 5/2 1 2/3=5/3

divide y from 5/3:

$\frac{5}{2} y=\frac{5}{3}$

mutiply each side by 2/5

y=10/15=2/3

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Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

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

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

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

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

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

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

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

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2 years ago

What expressions are equivalent to (p-q)(x)

Talja [164]

Answer:

px-qx

Step-by-step explanation:

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2 years ago

Could somebody please help me find the answers for 'x' for these pictures?

djyliett [7]

Answer:

(in order) #1

for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.

So in this case

2x+8 and 110 are oppostie sides.

2x+8=110

Which is x= 51

For the second one you have supplementray angles

Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do

9x+12x+75=180

Which is x=5

This is also a vertical angle pair and their congruent just like #1

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2 years ago

Read 2 more answers

The lower quartile is the _______ of the lower half of the data set.

Galina-37 [17]

Hey,

The lower quartile is the median of the lower half of the data set.

The median is the middle most number or the average of the two middle most numbers depending on how many values there are.

Cheers,
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2 years ago

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.Find the probability that he did not hit a bounda

Margarita [4]

Answer:

The probability of NOT hitting a boundary is (4/5).

Step-by-step explanation:

Let E: Be the event of hitting a boundary

now, Probability of any event E = $\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}$

Here, number of favorable outcomes = 6

So, P(E) = $\frac{6}{30} = \frac{1}{5}$

⇒Probability of hitting a six is 1/5

Now, P(E) + P(not E) = 1

So, P(not hitting a boundary ) = 1 - P(hitting a boundary)

= 1 - (1/5) = 4/5

Hence, the probability of NOT hitting a boundary is (4/5).

4 0

2 years ago