It is given that p varies inversely as q. If p = 12 and q = 45 find p, if q is 135.

Answers

Answer 1

Answer:

[tex]p =4[/tex]

Step-by-step explanation:

Given

Variation: Inversely

[tex]p = 12[/tex] when [tex]q = 45[/tex]

Required

Determine p when [tex]q = 135[/tex]

First, we need to determine the relationship between p and q

Since, it is an inverse variation.

The relationship is:

[tex]p\ \alpha\ \frac{1}{q}[/tex]

Convert to an equation

[tex]p= k *\frac{1}{q}[/tex]

[tex]p= \frac{k}{q}[/tex]

Where k = constant of variation

Make k the subject

[tex]k = p * q[/tex]

When [tex]p = 12[/tex] and [tex]q = 45[/tex]

[tex]k = 12 * 45[/tex]

[tex]k = 540[/tex]

To solve for p when q = 135

Substitute 135 for q and 540 for k in [tex]p= \frac{k}{q}[/tex]

[tex]p = \frac{540}{135}[/tex]

[tex]p =4[/tex]


Related Questions

26-(6y-10)=27y-18-37 First will get brainliest!

Answers

Answer:

y = 91/33

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

26 - (6y - 10) = 27y - 18 - 37

Step 2: Solve for y

Distribute negative:                    26 - 6y + 10 = 27y - 18 - 37Combine like terms:                    -6y + 36 = 27y - 55Add 6y to both sides:                 36 = 33y - 55Add 55 to both sides:                 91 = 33yDivide 33 on both sides:             91/33 = yRewrite:                                        y = 91/33

Adams High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People interested Faculty member Mr. Jackson, Mrs. Washington Male student Tom, Omar, Keith, Justin Female student Donna, Charmaine, Rita, Keiko Parent Dr. Ward, Ms. Allen, Mrs. Flores, Mrs. Smith School board member Dr. Davis, Ms. Young, Mrs. King, Mr. Adams Based on this list, how many ways are there to fill the five committee positions?

Answers

Answer:

512 ways

Step-by-step explanation:

Given

Selection

Faculty Member = 1

Male Student = 1

Female Student = 1

Parent = 1

School Board Member = 1

Select from:

Faculty Member = 2

Male Student = 4

Female Student = 4

Parent = 4

School Board Member = 4

Required

Determine how many ways they can be selected

There are 2 faculty members of which 1 will be selected from.

Any of these two members may be selected.

So, Selection = 2

There are 4 male students of which 1 will be selected from.

Any of these four students may be selected.

So, Selection = 4

There are 4 female students of which 1 will be selected from.

Any of these four students may be selected.

So, Selection = 4

There are 4 parents of which 1 will be selected from.

Any of these four parents may be selected.

So, Selection = 4

There are 4 school board members of which 1 will be selected from.

Any of these four members may be selected.

So, Selection = 4

Total number of selection is then calculated as thus:

[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]

[tex]Selection = 512[/tex]

Hence, there are 512 ways

Ella finished a bike race in 37.6 minutes. Miranda finished the race minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?

Answers

Complete question :

Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race

Answer:

28.5

Step-by-step explanation:

Time taken by Ella = 37.6 minutes

Time taken by Miranda = 9 1/10 minutes sooner than Ella

Hence,

Miranda's finish time :

37. 6 minutes - 9 1/10 minutes

37.6 - 91/10 minutes

37. 6 minutes - 9.1 minutes

= 28.5 minutes

What is the value of x? Enter your answer in the box​

Answers

Answer:

x=28

Step-by-step explanation:

Set 2x-4 equal to 60 and solve.

The three angles in the triangle add up to 180. Divide this by 3 and you get 60.

The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.

Answers

Answer:

40 cm ; 30cm ; 20cm

Step-by-step explanation:

Given that:

Sides of a triangle are in the ratio 2:3:4

Let :

length of the sides = 2x, 3x, 4x

longest side = 4x

Mid side = 3x

Shortest side = 2x

Length of longest side is 20 cm longer than shortest side

4x = 2x + 20 - - (1)

4x - 2x = 20

2x = 20

x = 10

Hence,

longest side = 4x = 4*10 = 40 cm

Mid side = 3x = 3 * 10 = 30 cm

Shortest side = 2x = 2 * 10 = 20 cm

Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle

Answers

Answer:

acute angle

Step-by-step explanation:

just took the test

what is 2+n+6?


solve.

Answers

Answer:

2 + n + 6 = 8 + n

Step-by-step explanation:

that should be the answer

HELP ME ASAP!!!!!!!! :)

Answers

Answer:

Step-by-step explanation:

(B) 0.752 and 0.232323....

Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?

Answers

17*1.40 =23.80 that’s the answer

100 points!!! Has anyone done unit 5 test for AP World history?? Edge2020 Answers pls.. Will mark brainliest!!!

Answers

do you need help with it or just want to know if people took it

Find an equation of the line that is perpendicular to y = 1/7x + 5 and has a y-intercept of — 2. Write your answer in the form y = mx+b​

Answers

y = 3x + 2 this is the answer if I am right

the difference of two numbers is 72 and their quotient is 10 plz help

Answers

Answer:

The numbers would be 80 and 8

Step-by-step explanation:

Hope this helps

Answer:

We have, x - y = 72

    and, x = 10y

so, 10y - y = 72

         y = 8

so, x= 80

Step-by-step explanation:

I’m giving first answer brainliest so hurry it up ya know

Answers

Answer:

ummmmmm

Step-by-step explanation:

Find the area of the patio

Answers

Answer:19x^2-68x

Step-by-step explanation:

first, add the 2x on the side of the large rectangle to the 2x on the pool side to find the length. then find the area of the entire image (4x•8x-10=32x^2-40x) now find the area of the pool (2x•6x-14=12x^2-28x) and add it to the area of the hot tub (x•x=x^2) (13x^2-28x) finally subtract that from the area of the entire image (32x^2-40x=19x^2-68x)!

C=30+15h what is the answer to this question

Answers

Answer:

45h that the answer I think

Answer:

C and h are both variables so the answer is ∞.

what’s the axis of symmetry & vertex *PICTURE*

Answers

Answer:

2.5

Step-by-step explanation:

:)

WILL GIVE BRAINLIEST!!

Answers

Answer:

1 1/3?

Step-by-step explanation:

Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

What is the value of the expression when x = 7 and y = 7? A. 8 B. 15 C. 50 D. 97

PLS HELP

Answers

Answer:

B. 15

Step-by-step explanation:

Please help! This is due today!

Answers

Answer:

Z = 70

Step-by-step explanation:

14×25 = 5z

350 = 5z

Z = 350/5

Z = 70

What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}

Answers

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

put these in order from least to greatest
14 √166 13

Answers

Answer:

sqrt166, 13, 14

Step-by-step explanation:

Anyone knows the slope of this graph?

Answers

It’s Y=2/1x-0 aka y=2x-0

Giving BRAINLEST PLEASE I NEEDA PAST MATH!

Answers

Answer:

Step-by-step explanation:

= - 7

Upgrade to Premium

Step-by-step explanation:

Fractions consisting of integers are only undefined if the denominator is zero. All other combinations will give you a rational number.

42 / (-7)

We can multiply both halves of the fraction by -1 to move the negative sign into the numerator:

-42 / 7

Then divide 42 by 7 to get:

-6

his year, Cornell’s class took two more than three times as many field trips as last year’s class. This year, Cornell’s class took a total of 8 trips. How many field trips did his class take last year?

Answers

2 more that 3 times is 3•x+2, so 26 field trips.

Slope From Graph.. Help

Answers

slope is 3

Step-by-step explanation:

y2-y1/x2-x1

so 3-0/-1--2 or 3-0/-1+2

Pls answer I need help!

Answers

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot ​

Answers

Answer:

a

Step-by-step explanation:

If ∆ and ∆ are two triangles such that ∠ ≅ ∠, which of the following
would be sufficient to prove the triangles are similar?

Answers

Step-by-step explanation:

If angles are equal then sides will also be equal.

Cause: Equal angles have equal sides.

You can then prove them by using SAS, SSS ASA, AAS


Find the slope of the line that passes through (3, 8) and( 2,10)

Answers

Answer:

slope is -2

Step-by-step explanation:

10-8=2

2-3=-1

2/-1

-2

Slope is -2. Look at picture for work.
Other Questions
What is the equation of the line through (2,-4) and (0,4)? times for DUI.Your driving privilege will be permanently revoked if you are convicted) fourOb) threec) toOd) one Mrs. Anders gave her class 15 minutes to read. Courtney read 8 pages in that time. At what rate, in pages per hour, would Courtney read? Energy that is stored is called... "If that happened to me, what would I do?" is an example of a(n).questionA. out-of-left-fieldB. from-my-brainC. in-my-handD. on-the-page In Chapter 8, Charlotte tells us that her gloves have turned "the color of slate." While this change is only superficial, it suggests that Charlotte is beginning to change. Pretend you are Charlottes friend and, in a journal entry of about 150 words, explain to her why you think this change will be good for her. Use specific details from the text in your response. What was an important effect of the development of the printing press in the 1400s I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent Which is a method that can be used to separate the components of a solution?magnetic separationdecantationfiltrationdistillation was world war one a just war In KLM, l = 48 inches, K=55 and L=46. Find the length of k, to the nearest inch.\ simplify 15055t to get the correct answer Help please thanks so much What does caste system mean? You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills. pls help will give brainlist State whether the lines are parallel, perpendicular,or neither.1) y = 6 - 3 2) y = 3x + 2 3) 8x - 2y = 3y = - 1/6x + 72y = 6x - 6 x + 4y = - 14) 3x + 2y = 5 5) y - 5 = 6x 6) y = 3x + 93y + 2x = -3 y - 6x = -1y = 1/3x - 4 The Monroe Doctrine declared that the United States would What is the best thing to do when you're depressed? how does government get law enforced