express the following rational algebraic expression to its simple form.show your solution​

1. 25 ׳y³/ 75 ×⁴y⁴​

Answer:

112

Step-by-step explanation:

So, we know that a triangle's sides must add up to have a sum of 180. If you add up your given lengths and you should get 47, not including x. Then if you look at the left side/the one without a given length and it should be identical to the 21, so you know that side is 21. So now add 21 to 47, you should get 68. Finally, you subtract 68 from 180 like this: 180-68, and it should equal 112. So you're answer is 112.

Answer:

Step-by-step explanation:

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

First write out the equation which is (5x - 3x²) - (5x - 2)(10x + 7x²). Then distribute 5x - 3x²  to -(50x² + 35x³ - 20x - 14x²). After that, combine the like terms and don't forget to distribute the negative as well, 5x - 3x² - 36x² - 35x³ + 20x. Lastly combine all the like terms to end up with this -35x³ - 39x² + 25x.

Hope this helps :)

Answer:

C

Step-by-step explanation:

Tangent of an angle is the opposite side over the adjacent side.

Tangent of angle beta is 8/15

one angle= 10°

the remaining 3 angles.

angle sum= 360°

2x10=20

360–20=340 

340/2=170

so, the remaining 3 angles are 10, 170 and 170.

Answer:

10, 170,  170

Step-by-step explanation:

Opposite angles of parallelogram are equal

Consecutive angles in a parallelogram are supplementary (add 180°)

Interior angles in a quadrilateral add up to 360°.

10+10=20   (2 opposite angles of 10 each)

360-20= 340

340/2 = 170 (2 opposite angles of 170)

10+170 = 180 (2 consecitive angles supplementary)

10+10+170+170=360

Using the normal distribution, it is found that the score needed to qualify is of 88.32.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 80[/tex] and [tex]\sigma = 8[/tex].

The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.04 = \frac{X - 80}{8}[/tex]

X - 80 = 1.04(8)

X = 88.32.

The score needed to qualify is of 88.32.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer: By using the distance formula

Step-by-step explanation:

   The distance formula can be used to find the distance between two coordinate points, as given here. They come in the order of (x, y) and you would plug in your values.

Need to solve for the distance?

   Taking the formula, we will plug in the coordinate points given and solve.

    [tex]\displaystyle d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25--2.5)^{2} +(4.5-4.5)^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25+2.5)^{2} }[/tex]

    [tex]\displaystyle d = \sqrt{(3.75)^{2} }[/tex]

    [tex]\displaystyle d =3.75[/tex] units

Answer:

so x=5 and y= 8

Step-by-step explanation:

[tex]y = 3x - 7 \: \\ 20 = - 4x +5y \\ 20 = - 4x + 5(3x - 7) \\ 20 = - 4x + 15x - 35 \\ 20 + 35 = 11x \\ 55 = 11x \\ x = 5 \\ now \: you \: put \: x = 5 \: into \: the first \: equation \: \\ 5 \\ y = 3(5) - 7 \\ y = 8[/tex]

Answer:

V = (25 * 18 * 20)/3 = 9000/3 = 3000 cm^3

Step-by-step explanation:

The formula for this question is fairly simple.

V = (l * w * h)/ 3

You multiply length, width and height- then you divide your answer by 3. This should equal the volume of your pyramid! (cm^3 means "centimeters cubed".....since your question says "Do not enter units" then there is no need for you to enter cm^3...)

Answer:

2 only

Step-by-step explanation:

This answer assumes that we can assume that lines which look straight are straight.
Straight angles are also known as 180 degree angles, and if a straight angle is cut in half, then the two parts must add up to 180 degrees. In the first picture, we see that 90-x and 90+x are the angle measurements.
(90-x)+(90+x)=90+90+x-x=180 degrees
the second one has angles 97 and 83, which add up to 180 degrees
the third one has angles which add up to more than 180 degrees, so any answer containing the third one as being correct is wrong.
The answer should be 1 and 2, but, that isn't an answer. Looking back at 1, it can be seen that if x is a negative number, or if x was a number greater than 180 degrees, then the picture would not work, so 1 is invalid. this leaves only 2, so 2 only.

Answer: .775 lbs

Step-by-step explanation:

7 3/4 _> 7.75

7.75 / 10 = .775

Answer:

1/4

Step-by-step explanation:

10 girls can cook well out of a total of 40 girls.

this means 10/40 girls can cook well, simplified fraction by dividing top and bottom by 10, 1/4 girls can cook well

Answer:

1/4

Step-by-step explanation:

When you simplify 10/40 you get 1/4

Answer:

16

Step-by-step explanation:

by using pythagorean theorem we know that the equal sides of the isosceles triangle are 5 units in length while the bottom side appears to be 6 units in length.

so we the perimeter is 16

Answer: 4.1

Step-by-step explanation:

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h= 11 \end{cases}\implies V=\cfrac{\pi (6)^2(11)}{3}\implies V=132\pi[/tex]

Answer:

x=13.9

Step-by-step explanation:

To find x we need an angle other than the right angle to use a trigonometric function. To do this we could either use Sine = Opposite/Hypotenuse or Cosine = Adjacent/Hypotenuse.

In this case i'll be using sine.

To find the angle that is above the right angle we need to use the inverse of Sine. Set up the equation

[tex] \sin^{ - 1} = \frac{22}{26} [/tex]

The answer to this is about 57.8. So now we have an angle to use to solve for x.

So now we set up the proportion

[tex] \frac{ \cos(57.8) }{1} = \frac{x}{26} [/tex]

Cross multiply.

x = 26×cos(57.8)

Put this in a calculator and x is about 13.9

Answer:

To subtract or add fractions, we need to find a common denominator.

1/2 can turn into 6/12

so now we have

6/12 - 1/12 =

5/12

Since we cant simplify it, it stays as 5/12

Answer:

[tex]I~am~beinggreat78~and~i'll~help~you![/tex]

The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.

In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.

Answer:

It's 28, B

Step-by-step explanation:

EDGE 2022

If product of two consecutive positive integers is 812 then the value of lesser integer is 28.

Two or more expressions with an Equal sign is called as Equation.

Let's represent the lesser integer by x.

The next consecutive integer would be x + 1.

According to the problem, the product of these two integers is 812. So we can set up the equation:

x(x + 1) = 812

Expanding the left side and simplifying, we get:

x² + x = 812

Rearranging and factoring the left side, we get:

x² + x - 812 = 0

(x - 28)(x + 29) = 0

we can eliminate the negative value.

Therefore, the value of the lesser integer is 28. option B is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

Step-by-step explanation:

The coefficient is 5.

Hope it helps.

Do comment if you have any query.

Answer:

1.65°

2.115°

3.132°

4.48°

5.67

MARK A BRAINLESS THIS ANSWER

in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.

the probability of the students who studies art and biology.

A= students study art

B= students study biology

N=42

n (ANB)= 10

n (A'NB)= 13

n (A'NB')= 7

the number of students who study only art:

n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')

= 42.10 - 13 - 7

= 12

the number of students who study only art:

= 16

p (ANB)= n (ANB)/N

= 10/40

= 0.238

probability the student who studies art and biology is 0.238.

The length of the hypothenuse or the value of x is equal to 19.53

This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.

Data;

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2

Let's substitute the values and solve for the missing side.

[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]

The length of the hypothenuse or the value of x is equal to 19.53.

Learn more Pythagoras theorem here;

https://brainly.com/question/3317136

Answer:

QT = 18

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of Rectangular prism ~

[tex]\qquad \sf  \dashrightarrow \:length \times width \times height[/tex]

[tex]\qquad \sf  \dashrightarrow \:20 \frac{1}{2} \times 10 \frac{1}{2} \times 12 [/tex]

[tex]\qquad \sf  \dashrightarrow \:\frac{41}{2} \times \frac{21}{2} \times 12 [/tex]

[tex]\qquad \sf  \dashrightarrow \:{41}{} \times {21}{} \times3 [/tex]

[tex]\qquad \sf  \dashrightarrow \:2583 \: \: {m}^{3} [/tex]

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.