If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.

Answers

Answer 1

Answer:

q = 55

Step-by-step explanation:

      [tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]

Find q when p = 2

   [tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]


Related Questions

A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange paint every day. How many litres of yellow paint does the factory use every day?

Answers

Answer:

2700÷9=300

300×2=600liters yellow paint

1 Solve the compound inequality 4x>-16 or 6x <-48

Answers

Answer:

Step-by-step explanation:

4x > -16 reduces to x > -4:  All numbers greater than x = -4 (shaded area to the right of -4).

6x < -48 reduces to x < -8:  All numbers to the left of -8 (shaded area to the left of -8).

Solution:  (-infinity, -4) ∪ (-8, infinity)

The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)

Draw an open circle at -8 and extend an arrow to the left of this circle.  Then draw an open circle at -4 and extend an arrow to the right of this circle.

If f(x) = x^2 + 1 find f (a+1)

Answers

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction NotationExpand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(a + 1) = (a + 1)² + 1Expand [FOIL]:                                                                                                  f(a + 1) = a² + 2a + 1 + 1Combine like terms:                                                                                         f(a + 1) = a² + 2a + 2

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

1, 3, 2, 2, 1, 3, 3, 1

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Answer:

(I only know part A. sorry) The mean is 2.

Step-by-step explanation:

To find the mean of data you have to add all of the numbers and then divide by the total number of numbers being added. (I hope that made sense)

So you have to do- 1+3+2+2+1+3+3+1=16 -and then- 16÷8=2 -so you're answer is 2.

The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?

Answers

Answer:

The length is 99 centimeters.

Step-by-step explanation:

The area of a rectangle is found by multiplying:

A = Length • width

We also know that the area of the rectangular painting is 5,049 cm^2

An equation to represent this is:

51w = 5049

To find w, divide:

5049/51 = 99

CHECK YOUR ANSWER:

Formula tor area of a rectangle:

Length x width

Use formula with the measurements:

99 x 52 = 5049

So the length is 99 centimeters.

HOPE THIS HELPS!

х
3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4

Answers

Answer:

O 3x+12

Step-by-step explanation:

3(x + 4) = (3 · x) + (3 · 4)

= 3x + 12

Answer O 3x+12
Hope this helps

Hiiioo! Can someone please help me out! :)❤️

Answers

Answer:

-2/3

3/2

Step-by-step explanation:

slope is m in the equation y = m*x+b.

3y=-2x-3

y=-2/3x-1

parallel lines have the same slope, so slope of parallel lines is -2/3

perpendicular lines have negative the inverse

so -(-3/2)=3/2

3/2 is the correct answer to your question

In order for the parallelogram to be a
rhombus, x = [?].
(x + 15)
(2x - 40)
Help pleaseeee

Answers

Answer:

Step-by-step explanation:

x+15 = 2x-40

Move x to the right side and you get 15 = x-40

Move -40 to the left side and you get x = 55

In order for the parallelogram to be a rhombus, x must equal 55.

What is a rhombus?

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add up to 180 degrees.

We have,

If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.

We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.

x + 15 = 2x - 40

First, we can simplify by adding 40 to both sides and getting:

x + 55 = 2x

Next, we can subtract x from both sides and get:

55 = x

Therefore,

In order for the parallelogram to be a rhombus, x must equal 55.

To verify this, we can substitute x = 55 back into the expressions for the sides:

x + 15 = 55 + 15 = 70

2x - 40 = 2(55) - 40 = 70

Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.

Thus,

In order for the parallelogram to be a rhombus, x must equal 55.

Learn more about Rhombus here:

https://brainly.com/question/27870968

#SPJ2

Please help ASAP. Differentiating polynomials

Answers

Answer:

Step-by-step explanation:

If the function is

[tex]y=x^2-4x[/tex], then its derivative is

y' = 2x - 4. This is equal to 0 where

2x - 4 = 0 and

2x = 4 so

x = 2. When x = 2 in the original equation:

[tex]y =2^2-4(2)[/tex] so

y = -4. So the coordinate is (2, -4). On to the next one:

If the function is

[tex]y=25x +\frac{1}{x}[/tex] then its derivative is

[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where

[tex]25-\frac{1}{x^2}=0[/tex] and

[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:

[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so

[tex]25x^2=1[/tex] and

[tex]x^2=\frac{1}{25}[/tex] so

x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so

x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates

[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]

No files just ty0e it in please and thank you

Answers

sorry im answering late..

Answer:

27

Step-by-step explanation:

9x0=0  9x1=9  9x2=18                                

[9x3=27]  9x4=36  9x5=45  

9x6=54  9x7=63  9x8=72  

9x9=81  9x10=90  9x11=99

9x12=108

what is the nth term of 1/3 4/7 7/11 2/3 ​

Answers

Answer:

[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]

Step-by-step explanation:

First find the pattern.

1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.

if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.

I would next try only adding to the numerator and denominator separately.  

so 1/3 gets 3 added to the 1 and 4 added to the 3.  Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3.  So that is the right answer.

So we know what is happening.  if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term  is when n=1 and we want that to cancel out.  You can also simplify it and get (3n-2)/(4n-1)

Let me know if it doesn't make sense.  

What is the value of x?
OA 73°
OB. 71°
OC. 70°
OD. 68°

Answers

Answer:

OB.71

Step-by-step explanation:

correct me if I'm wrong

Answer:C.70

Step-by-step explanation:

What is the area, in square inches, of the shape below?

Answers

Answer:

27.44 in²

Step-by-step explanation:

The formula for area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.

We can sub in the base and height lengths we know to work out the area. This gives a=[tex]\frac{5.6*9.8}{2}[/tex] or [tex]\frac{54.88}{2}[/tex].

This solves to 27.44 in².

**This content involves area of triangles, which you may wish to revise. If you are required to do this by hand, you may also like to review multiplying and dividing decimals. I'm always happy to help!

Answer: 27.44

Step by step explanation

1. the surface area of the rectangular prism
5 cm
20 cm
4cm

Answers

Answer:

430 cm^2

thankuhh

have a nice day

400cm^2

Please mark brainliest!

Please help I’ve been struggling for ages!

Answers

Answer:

"D" only 1 & 2

Step-by-step explanation:

Sam had $42 to spend on 12 raffle tickets. After buying them he had $6 left. How much did each raffle ticket cost?

Answers

Answer:

Each raffle ticket cost $3.

A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?

Answers

Can you help me with the last question write the equation 3x^2 - 27 = -6x in vertex form

Answer:

$36,575 is the new tuition

Sin 0 = 7/25 and cos 0 = -24/25. Find tan 0

Answers

Answer:

[tex]tan \theta = - \frac{7}{24}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]

        [tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]

What portion of shared $7500 security costs should be apportioned to store A?

Answers

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?

12%

10%

25%

20%

Answers

Answer:

20%

Step-by-step explanation:

When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is

[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]

Plugging our values into this formula, we get

[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.

The ratio of pennies: nickels is proportional to the ratio of nickels: dimes, and to the ratio of dimes: quarters. If you have one penny and two nickels, how much money do you have?​

Answers

Answer:

11 cents

Step-by-step explanation:

1 penny = 1 cent

1 nickel = 5 cents

2×1 nickel = 10 cents

1 penny + two nickels

= 1 cent + 10 cents

= 11 cents

which segments are congruent?

Answers

Answer:

LN and NK

Step-by-step explanation:

line LK was bisected (cut in half) by JM

the segment created by the bisector will be congruent

HELP PLEASEEEE !!!!!

Answers

Answer:

5%

Step-by-step explanation:

5 customers ordered large cold drinks so the probability would be 5/100

To convert 5/100 to percent, just do 5/100 x 100%

Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.

You need to be careful and plot straight lines.

You can only graph a system of linear equations with a graphing calculator.

The point of intersection of lines that intersect at a shallow angle is difficult to determine.

Answers

You can only graph a system of linear equations.

Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?

Answers

 

41 years ago, when Sally was 13 and her mother was 39.

Step-by-step explanation: I've heard this question b4

Write the equation of a line passing through (4,1) and parallel to y = 3/2x + 3.

Answers

Answer:

y = 3/2x - 5

Step-by-step explanation:

y = 3/2x + b

1 = 3/2(4) + b

1 = 6 + b

-5 = b

please please help!! limited time! i don’t understand!

Answers

Answer:

option b ) 18

Step-by-step explanation:

The questions states 3 different values for f(x)

f(x) = 3x + 12,  if x ≤ -2

f(x) = 4 ,          if  -2 < x < 3

f(x) = 2x²         if x ≥ 3

Evaluate f(3)

x = 3, that is x ≥ 3

So we will have  to choose f( x )  = 2x²

                                          f( 3 ) = 2 (3)²

                                                  = 2 x 9

                                                  =  18

The amount of fence a farmer needs to create a garden with width w and length 1 is F = 5w + 21.
Which formula represents l in terms of F and w?

Answers

x will be W. Just put in the numbers of P and L and you will have solved for W.

Please help me it's urgent!

Answers

Match the graph with the correct set of equations for each linear system.

9
Find the area of the triangle.
Please help

Answers

Answer:

[tex]6ft^2[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:  [tex]A=\frac{1}{2} bh[/tex]

The base is 4 because 2 + 2 = 4

[tex]A=\frac{1}{2}( 4)(3)[/tex]

[tex]A=\frac{1}{2} (12)[/tex]

[tex]A=6[/tex]

Hope this helps

Answer:

A) The first one for whole triangle = 6ft^2

or

B) The second one for blue  = 3ft^2

Step-by-step explanation:

T1 Area = 1/2 x 3 x 4 = 6ft^2

T2 Area = 1/2 x 3 x 2 = 3ft^2

T3 Blue Area = 6-3 = 3ft^2

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