5x is greater or more than -20

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = p and y = -q

Step-by-step explanation:

The value of x and y

px + qy = p² - q²(equation 1)

qx - py = 2py

{Taking equation 2}

[tex] \sf qx - py = 2py[/tex]

{Taking py on RHS}

[tex] \sf qx = 2py \ + py [/tex]

{Dividing both sides by q

[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]

{Now substituting the value of equation 3 in equation 1}

[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]

{Taking 2p² on RHS and taking LCM on LHS}

[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]

{Dividing (p² + q²) both sides}

[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]

{Now using value of y in equation 3}

[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]

The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have total weight of the potting soil = 7 pounds

It is divided equally into three flower pots.

So each pot contains = 7/3 potting soil

Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

Answer:

Hypatia was the first female mathmatican

Answer:

Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin^2 − sin^4 = cos^2 − cos^4

sin^2 (1-sin^2) = cos^2 − cos^4

sin^2 (cos^2) = cos^2 − cos^4

(1-cos^2) (cos^2) = cos^2 − cos^4

cos^2 − cos^4 = cos^2 − cos^4

Which is True :33 Send love

Replacing the first card illustrates an independent event, while not replacing the card illustrates a dependent event

In probability, when a selected card or item is replaced before another item is selected, then the event is an independent event.

This is so because, the selected card do not have effect on the probability of selecting the next card

However, if the card is not replaced, then the event is dependent

Read more about replacing cards at:

https://brainly.com/question/251701

#SPJ1

Answer: 9x⁴y⁶

Step-by-step explanation:

[tex](3x^{2}y^{3})(3x^{2}y^{3}) = 9x^{4}y^{6}[/tex]

Check the picture below.

4 total numbers, 2 are odd

probability of getting odd = 2/4 = 0.50 =50%

Answer: 50%

Using the table of values, the probability of selecting a girl that likes Michigan is 0.11

The table is given as:

           Ohio State   Michigan    NC State   Total

Boys        56                14                20           90

Girls         50               22               38            110

Total       106              36                58          200

In the above table, 22 girls out of the total sample size of 200 like Michigan.

This means that the required probability is:

P = 22/200

Evaluate the quotient

P = 0.11

Hence, the probability of selecting a girl that likes Michigan is 0.11

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

Answer:

0.43%

Step-by-step explanation:

In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.

Answer:

i wish i knew im in the same situwantion

Step-by-step explanation:

Answer:

D. 496

Step-by-step explanation:

Start by finding original number of pens:

15 boxes x 40 pens per box = 600 pens in all

find number of pens taken:

26 workers x 4 pens each = 104 pens taken

Find number of pens left:

600 original - 104 taken = 496 left

Answer: D. 496

Answer:

D

Step-by-step explanation:

15x40=600

26x4=104

600-104=496

Answer:

Here is the answer:

Step-by-step explanation:

An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

Given that :-

Prove that :-

Taking RHS :-

= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]

= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]

= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)

= (2 tan B)/(4 + 6 tan2B)

= (2 tan B)/[2(2 + 3 tan2B)]

= tan B/(2 + 3 tan B tan B)

Dividing the numerator and denominator by 2,

= [(1/2) tan B]/ [1 + (3/2) tan B tan B]

= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}

= (tan A – tan B)/(1 + tan A tan B)

= tan(A – B) = LHS

The height of the pole and the building are 27.1 meters and 97.8 meters respectively.

The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,

Therefore,

tan 34 = opposite / adjacent

tan 34 = h / 145

h = 145 tan 34

h = 145 × 0.67450851684

h = 97.8037349422

Therefore,

height of the building = 97.8 meters

tan 26 = x / 145

x = 145 tan 26

x = 70.721225342 meters

Therefore,

height of the flagpole = 97.8 - 70.7 = 27.1 meters

learn more on right triangle here: https://brainly.com/question/15322533

#SPJ1

Answer:

Just multiply 5000 * 0.08, which equals 400.

400 + 5000 = 5400

The borrower will repay $5400 at the end of nine months.

Step-by-step explanation:

Answer:

Part A : $6.23

Part B : $6.48

Step-by-step explanation:

Let's apply the Simple Interest Formula, which is :

Simple Interest = Principal Amount x Interest rate x Time Period

In one year :

In 2 years :

Answer:

2  2/3

Step-by-step explanation:

-2 1/3 - ( - 5)

We are subtracting a negative which is like adding

-2 1/3 + (  5)

The signs are different so we subtract and take the sign of the larger

5 - 2 1/3

Borr from the 5

4 3/3 - 2 1/3

2 2/3

The sign of the larger was positive so the answer is positive

2 2/3

Answer:

$10.50

trust me

answer:

342$

Step-by-step explanation:

Think about it........................ 77 + 33 =100

Answer:

helloo!!!!

first up first.... i love your profile pic....

oh and the answer is 744..

please read the explanation... it always helps!!

Step-by-step explanation:

alrighty..

so the total budget is 1200, and we want to know how much is 62% of that

so you follow the percent formula as follows:

1200/100= 12 --> 12 x 62= 744 (which is the answer!)

Answer:

m=1/7

Step-by-step explanation:

The slope of y=x/3 + 4 is 1/7.

x/3+4 = x/7 so m = 1/7.

Answer:

m = 1/3

Step-by-step explanation:

The equation given is in slope-intercept form, which has the basic structure:

y = mx + b

In this equation, "m" is the slope and "b" is the y-intercept.

The value of "b" is 4.

The value of "m" is 1/3. This is because (x/3) is the same as (1/3 times x).

Answer:

Step-by-step explanation:

Converting all fractions to decimal (for easier comparison) :

Hence,

Answer

All real numbers or (-∞, ∞)

Step-by-step explanation:

There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.

Answer:

All Real Numbers

Step-by-step explanation:

The Domain for a function simply is all the possible x values.

When graphing this function, you'll realize that it's continuous and passes all x values.

Additionally, when looking at it, you'll realize you can input any number of your choosing.

When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.

For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.

Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.

Hope that helps, please let me know if you have any queries.

[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]

Answer:Mackenzie

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mackenzie

Answer:

y=1/2x+2

Step-by-step explanation:

I found this out just by looking at the line

c=8

Step-by-step explanation:

13-5=c, c=8