solve for p and q if
p+q=2(p-q)
pq=675​

Answers

Answer 1

Step-by-step explanation:-

Let p + q = 2( p - q) be eqn.1 and pq = 675 be eqn.2

Now , lets expand eqn.1

[tex]=> p + q = 2p - 2q[/tex]

[tex]=> 2p - p = 2q + q[/tex]

[tex]=> p = 3q[/tex]

Lets put the value of p in eqn.2

[tex]=> 3q \times q = 675[/tex]

[tex]=> 3q^{2} = 675[/tex]

[tex]=> q^{2} = \frac{675}{3} = 225[/tex]

[tex]=> q = \sqrt{225} = +15 \: or \: -15[/tex]

Lets find out the value of p.

When q = +15 , [tex]p = 3 \times 15 = 45[/tex]

When q = -15 , [tex]p = 3 \times - 15 = -45[/tex]

Hence ,

p = ±45

q = ±15

Answer 2

Answer:

q=15

p=45

Step-by-step explanation:

p+q=2(p-q)

p+q=2p-2q

simplify: add 2q to each side and subtract one p from each side of the equation.

p=3q

given that pq=675, substitute:

(3q)q=675

3q^2=675

q^2=225

q=15

then p=3q or p=3(15)=45

p=45


Related Questions

What is the distance between the points (-4, 2) and (3, -5)?

Answers

Answer:

c

Step-by-step explanation:

the other guy is bad

Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one of three treatments: watching 20 minutes of a Hollywood action movie (The Island), watching the same 20-minute excerpt of the movie with no sound, and watching 20 minutes of an interview program. While watching, participants were given snacks (M&M’S®, cookies, carrots, and grapes) and allowed to eat as much as they wanted. Subjects who watched the highly stimulating excerpt from The Island ate 65% more calories than subjects who watched the interview show. Participants who watched the silent version of The Island ate 46% more calories than those who watched the interview show.36 Identify the explanatory and response variables in this study. Then determine if it is an experiment or an observational study. Explain your reasoning.

Answers

Answer:

The explanatory variable is the type of program the people watched. The response variable is the number of calories consumed. This was an experiment.

What is equal to 2+1 1/5

Answers

Answer:

3 1/5

Step-by-step explanation:

.....

What is 2/7 divided by 3/7

Answers

Answer: If you're talking about fractions, then it's 2/3.

Step-by-step explanation:

Step one is to divide.  Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.  And you should get your answer.

Which of the following expressions has a coefficient of 10 and a constant of 5

A) 10x + 5
B) 10 + 5x
C) 10 + 5
D) 10 + 5 ​

Answers

Answer:
A

Explanation:
Coefficient comes before a letter, 10 comes before x

-- someone already answered this.

answer:

10x + 5

credits: https://brainly.com/question/17673900

Find the number of faces, edges and vertices of the solid.​

Answers

Answer: 6 faces 12 edges 8 verticies

Step-by-step explanation:

Answers:

6 faces

12 edges

8 verticies

I GIVEEE BRAINLILSTT

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Reflecting a point over the y-axis means to have the point either to the right or left of the originial point.

10.

Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's 6th grade class has 15 students with brown eyes and 10 students with blue eyes. What is the ratio of brown eyed students in Ms. Abbott's class compared to the brown eyed students in Mrs. Downey's classroom? Choose all of the correct answers.
a.
3:2
c.
6:5
b.
2:3
d.
18:15

Answers

Answer:

6:5

18:15

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:


J-18 = 43 help meeee

Answers

Answer:

J=61

Step-by-step explanation:

J-18=43

+18 +18

J =61

Given that answer please

Answers

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

[tex] sin(C) = \frac{7}{10} [/tex]

[tex] C = sin^{-1}(\frac{7}{10}) [/tex]

[tex] C = 44.427004 [/tex]

<BCA = 44.4° (to 3 SF)

Can someone help? Thank you

Answers

Answer : B

The question is asking you to find how many real roots there are. You use factoring to find the roots of this polynomial function. The steps for factoring are to factor out the GCF, factor, and solve for the x’s.

You then determine negative and positive roots.

write the equation of a line that passes through the point (12, 5) and has a slope of -3

Answers

Answer:

y - 5 = -3(x - 12)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (12, 5)

Slope m = -3

Step 2: Write Function

Plug in variables into the general formula.

Substitute [PSF]:                    y - 5 = -3(x - 12)

X=-4+y and -2x-5y=15

Answers

Answer:

x=-5, y=-1

Step-by-step explanation:

Substitute x=-4+y into -2x-5y=15. So we have

-2(-4+y)-5y=15

8-2y-5y=15

-7y=7

y=-1

And x is -4+y so x= -4+(-1)= -5.

Sarah rolls a fair dice 96 times.

How many times would Sarah expect to roll a number greater than 2?

Answers

Answer:

56

Step-by-step explanation:

Answer:

my 16 inch

Step-by-step explanation:

The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.

Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.

B) How many gallons of gasoline are left after you drive 120 miles?

Answers

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problem

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Solve the system by substitution.
-5x + 3y = 2
y = 2x

Answers

Answer:

Step-by-step explanation:

-5x +3(2x) = 2

-5x +6x = 2

x=2

If x = y, y = 2 then 3x =

Answers

Answer:

x=y

y=x

y=2

x=2

(3)(2)

3 times 2 is 6

Step-by-step explanation:

fill in the number to show one way to find 3 x 8

Answers

Answer:

8 x 3

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

3 x 8 = 24

What is the 10th term in this sequence: 4, 8, 10, 12,...

Answers

24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Answer:24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Step-by-step explanation:

Write the slope-intercept form of the equation of the line.

Please someone help me!!

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Given that the endpoints of a diameter are (7,-3) and (-1,7), determine the equation of the circle.

Answers

The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^r

H and k are the x and y coordinates of the center of the circle and r is the radius.

You are given the diameter coordinates so find the halfway point for the center then calculate the radius

Midpoint = (x1 +x2)/2, (y1 + y2)/2

Midpoint = (7 + -1)/2, (-3 +7)/2

Midpoint = 6/2, 4/2

Midpoint = 3,2

So h = 3 and k = 2

Now find radius by finding the distance between the center point and an end point.

Distance = sqrt(41)

Equation of the circle:

(X-3)^2 + (y-2)^2 = 41

Answer:

The equation of the circle is written as:

(x-h)²+(y-k)²=r²

'h' and 'k' are the x and y coordinates of the center of the circle and 'r' is the radius.

You are given that the diameter coordinates, so find the halfway point for the center then calculate the radius

[tex]Midpoint = ( \frac{x_1 + x_2 }{2}, \frac{y_1 + y_2}{2} ) \\ = ( \frac{7 + ( - 1)}{2} , \frac{ (- 3 )+ 7}{2} ) \\ = ( \frac{6}{2} ,\frac{4}{2} ) = (3,2)[/tex]

So, h=3 and k=2

Now find the radius by finding the distance between the center point and the end point.

Distance=√{(7-3)²+(-3-2)²}=√{(4)²+(-5)²} =√{16+25}=√41

Equation of the circle:

(x-3)²+(y-2)²=41 ✓

Write the mixed number as an improper fraction.
33/5

Answers

6 1/5 your welcome glad to help!
I’m pretty sure 33/5 is already an improper fraction but, 33/5 as a mixed number is 6 3/5. :D

can some one help me pretty pls

Answers

Answer:

x=-3/7

Step-by-step explanation:

(k+7)2=289
Set1
Set2 ​

Answers

Answer:

Two solutions were found :

1. k = 10

2. k = -24

step by step explaination : you dont need to know the step by step explaination anyways hope it helps

how to find the slope​

Answers

Answer:

im thinking its c

just do rise over run

count the y values from bothe points then the x then put it as a fraction y/x

Step-by-step explanation:

Solve for g.
what is g equal to?​

Answers

Answer:

[tex]\displaystyle g=\frac{4\pi^2l}{T^2}[/tex]

Step-by-step explanation:

Equation Solving

Given the equation

[tex]\displaystyle l=\frac{gT^2}{4\pi^2}[/tex]

It's required to solve it for g. Let's swap sides of the equation:

[tex]\displaystyle \frac{gT^2}{4\pi^2}=l[/tex]

Multiply by [tex]4\pi^2[/tex] to remove the denominator:

[tex]\displaystyle gT^2=4\pi^2l[/tex]

Divide by [tex]T^2[/tex]

[tex]\boxed{\displaystyle g=\frac{4\pi^2l}{T^2}}[/tex]

Shamika knows she has been listening to a music playlist for 26 minutes when she looks at the clock showing the time below. What time did Shamika begin listening to the playlist?
answer fast pls

Answers

just subtract 26 minutes from the time on the clock :)

7m + 2 - 3m + 6
Simplify this expression.

Answers

Combine m terms (including signs in front)
7m -3m =4m

Now combine the constants including signs in front
2 +6 = 8

Answer is 4m +8

Answer:

4m+8

Step-by-step explanation:

7m+2-3m+6

combined the 7m and the 3m to get 4m

And combined the 2 and 6 to get 8

then add them to together and get 4m+8

Milos is trying to prove that the sum of any two rational numbers is a rational number. His first steps are shownWhich is the best method Milos could use to continue?

Answers

Answer:

Answer is the first one

Step-by-step explanation:

Method A will be best to prove the condition, "the sum of any two rational numbers is a rational number."

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that, Milos is trying to prove that the sum of any two rational numbers is a rational number

Two rational numbers added together make rational number.As a result, adding two rationals is equivalent to adding two of these fractions, which will produce a new fraction with the same form since integers are closed under addition and multiplication. As a result, multiplying two rational numbers results in another rational number.

Thus method A will be best to prove the condition, "the sum of any two rational numbers is a rational number."

Learn more about the irrational number here:

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One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.

Answers

The reporter was of by .15 inches because you have to add the actual rain on both days and subtract from the reporters estimate.
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