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

Kym switched cell phone plans. She signed up for a new plan that will save her $3.50 per month compared to her old cell phone plan. The cost of the new phone plan for an entire year is $294. How much did Kym pay per month under her old phone plan?

also merry early Christmas

Answers

Answer:

Hi there,

$294 per year = $24.50 per month

Kim paid $24.50 + $3.50 = $28 per

month with her old phone plan.

Hope this helps :-)

Step-by-step explanation:

Make Sense and Persevere Paxton, a summer camp counselor, has a budget of $300 to spend on caps and T-shirts for a summer camp.
plz help this is due soon!!!

Answers

Answer:

9 shirts and 10 caps

Step-by-step explanation:

Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.

a system of equations graphed on the grid
which systems of equations does the graph represent

Answers

The answer is J. Y=x+4 and Y=-2x-4

We want to find the zeros of this polynomial:
p(2) = (2x - 1)(x+3)(x + 1)(x - 2)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

How do you find the zeros of a polynomial graphically?

Step-by-step explanation:

If we graph this polynomial as y = p(x), then you can see that these are the values of x where y = 0. In other words, they are the x-intercepts of the graph. The zeros of a polynomial can be found by finding where the graph of the polynomial crosses or touches the x-axis.

Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown.

A graph shows number of math problems on the x-axis, from 0 to 20, and number of science problems on the y-axis, from 0 to 16. A dashed straight line has a negative slope and goes through (4, 12) and (12, 6).
Which statement could be true in this situation?

Alexia completed 8 math problems and 9 science problems.
Alexia completed 4 math problems and 6 science problems.
Alexia completed 20 math problems and 10 science problems.
Alexia completed no math problems and 15 science problems.

Answers

Answer:

C

Step-by-step explanation:

Help this confusing no matter how any times I do it

Answers

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

−3(2a−14)−3a=24
what is a

Answers

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[tex] - 3(2a - 14) - 3a = 24[/tex]

[tex] - 6a + 42 - 3a = 24[/tex]

[tex] - 9a + 42 = 24[/tex]

Subtract sides 42

[tex] - 9a + 42 - 42 = 24 - 42[/tex]

[tex] - 9a = - 18[/tex]

Divide sides by - 9

[tex] \frac{ - 9a}{ - 9} = \frac{ - 18}{ - 9} \\ [/tex]

[tex]a = 2[/tex]

_________________________________

CHECK :

[tex] - 3(2(2) - 14) - 3(2) = 24[/tex]

[tex] - 3(4 - 14) - 6 = 24[/tex]

[tex] - 3( - 10) - 6 = 24[/tex]

[tex]30 - 6 = 24[/tex]

[tex]24 = 24[/tex]

Thus the solution is correct.....

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Can anyone please help me on this!? I’ll give brainliest!

Answers

Answer

Step-by-step explanation:

Which best represents the law of conservation of mass? mass of reactants > mass of products mass of reactants < mass of products mass of reactants = mass of products mass of reactants → mass of products

Answers

Answer:

C. mass of reactants = mass of products

Step-by-step explanation:

The mass of products = mass of reactants

This question asks us about the law of conservation of mass

What is law of Conservation of Mass

The law of conservation of mass states that matter can neither be created nor destroyed but can be transformed form one state or form to another. This is the basics of science which implies that whatever matter we have, it was created from something before it was converted into what we have at the moment.

However, this law does not hold nuclear reactions because they undergo changes in the core of the matter which can change the proton of that same matter or neutron from one element to another. This is to say that in nuclear reactions, matter can be created and it can also be destroyed.

The answer to this problem is mass of products = mass of reactants.

Learn more on conservation of matter here;

https://brainly.com/question/18434745

-5y-y=??? Algebra. Confused. Help.

Answers

Answer:

-6y

Step-by-step explanation:

-5y-y=-6y

Answer:

-6y

Step-by-step explanation:

If the area of the base of a cone is 58 pi square inches, and the height is 3 inches, then which expression represents the volume of a cylinder?

Answers

43

I need help guys go to my account and answer my question pls I need help pls,pls,pls pls pls,

the length of a rectangular mat is twice its breath.if its length is 50 cm find its area and perimeter​

Answers

Answer:

L = 2W

If L = 50cm

then

w= 25cm

Area = L*W= 50*25

Area= 1250 cm^2

Perimeter

P = 2(L+W)

P= 2 (50+25)

P = 150cm

Carlton has a job offer for a position as a telemarketer. The job pays $60 per week, plus a
$15 commission for each sale he makes. How many sales would Carlton have to make in
a week in order to earn $240?

Answers

Answer:

He would have to make 12 sales a week in order to make $240

Step-by-step explanation:

So every week the job pays him $60

And $15 more every sell he makes So 15x12=180

So if he  makes 12 sells in a week he will make $180 dollars.

Plus the 60 the job pays him every week

So 180+60=$240

What Is the Cost of Living? The cost of living is the amount of money needed to cover basic expenses such as housing, food, taxes, and healthcare in a certain place and time period. The cost of living is often used to compare how expensive it is to live in one city versus another. The cost of living is tied to wages.

Answers

Answer

wrong topic, this is about economics

Pamela is 5 years younger than Jiri. The sum of their ages is 55. What is Jiro's age?

Answers

Answer:

ummm i firgit

Step-by-step explanation:

I forgot bc well I am dum

Answer:

The answer is 30

Step-by-step explanation:

j+j-5=55

2j=60

=30

What is the value of y? 5,6,or
10

Answers

Answer:

ima say 6

Step-by-step explanation:

Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.

Answers

Answer:

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)

Then, the factorized form of [tex]q(x)[/tex] must be:

[tex]q(x) = x\cdot (x-17)[/tex] (2)

If we know that [tex]p(x) = 4[/tex], then the rational expression is:

[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

PLEASE HELP I WILL GIVE BRAINLIEST!!!!
Solve the following system of equations with any method. Show all work and explain your thinking for each
step in the process.

2x- 10y = 10
Sx+9y =9

Answers

Answer: Let's solve for x.

2x−10y=10

Step 1: Add 10y to both sides.

2x−10y+10y=10+10y

2x=10y+10

Step 2: Divide both sides by 2.

2x

2

=

10y+10

2    answer

    x=5y+5

Step-by-step explanation:

Let's solve for s.

sx+9y=9

Step 1: Add -9y to both sides.

sx+9y+−9y=9+−9y

sx=−9y+9

Step 2: Divide both sides by x.

sx

x

=

−9y+9

x

s=

−9y+9

x

Answer:                         hope this helps:)

s= -9y+9/x

Figure MNPQR will be reflected across the x-axis to create figure M'N'P'Q'R'. Which rule describes this transformation? A.(x,y) → (-X,Y) B.(x,y)—>(—x,—y) ©. (x,y) → (x,y) D.(x,y) → (x,-y)

Answers

Answer:

D.(x,y) → (x,-y)

Step-by-step explanation:

If it is reflected across the X-axis, then the X variable will stay the same and the Y variable will change.

I hope this helps!! Good luck!!

(Sorry if I'm wrong! It's kinda awkward because it is placed in the second quadrant instead of the first.)

Answer:

its d

Step-by-step explanation:

Use the order of operations to evaluate: −7.6 − 2[9 + (−6.8)] First, simplify the parentheses: [9 + (−6.8)] = 2.2. Now the expression is: −7.6 − 2(2.2). Since there are no exponents in this problem, the next step is ✔ (- 2)2.2 . Simplify the previous step and you get ✔ -7.6 – 4.4 . The final answer is

Answers

Answer:

-12.0

Step-by-step explanation:

From the above question, we are given:

−7.6 − 2[9 + (−6.8)]

We apple the PEDMAS rule

P = Parentheses, Hence:

Step 1

The first step is to simplify the parentheses

[9 + (−6.8)] = 2.2.

Step 2

We now have:

−7.6 − 2(2.2).

Step 3

We simplify Parentheses again

(- 2)2.2 = -4.4

Step 4

We simplify

-7.6 - 4.4

= -12.0

The final answer is 12.0

have a nice day, good luck

Which equation represents the same
linear function as the table below?

Answers

Whatttttt I’m dumb sorry :(

Evaluate 3.6x + 4.5y when x=3 and y=7

Answers

Answer:

42.3

Step-by-step explanation:

3.6(3)+4.5(7)

10.8+31.5

42.3

The sum of two positive numbers is 45. The difference between the numbers is 9. What
is the value of the larger number?

Answers

Answer:

value of larger number is27

Step-by-step explanation:

x+y=45

x-y=9

2x=36

x=18

y=27

Answer: 27 + 18 = 45

27 - 18 = 9

Step-by-step explanation:

An auto repair shop took 2.5 hours to fix Jaime’s car. The cost of the parts needed was $93, and the total bill was $248. What did the repair shop charge per hour for labor?

(PLEASE ANSWER!!!)

Answers

Answer:

$62 dollars an hour

Step-by-step explanation:

2.5x+93=248

248-93=155

2.5x=155

155/2.5=x

x=$62 dollars an hour

explain the energy transformation that takes place in torch light using dry cell​

Answers

Answer:

When the flashlight is turned on, the chemicalenergy stored in batteries is converted into electricalenergy that flows through wires of flashlight. This electrical energy is then transformed into light and heat energie.

Step-by-step explanation:

mark me as brainliest thank you

Answer:

When the flashlight is turned on, the chemical energy stored in batteries is converted into electrical energy that flows through wires of flashlight. This electrical energy is then transformed into light and heat energy.

write an equation for the both term of the arithmetic sequence 30,26,22,18

Answers

Answer:

I guess it decreases by 4 everytime so -4??? If thats what your asking

Step-by-step explanation:

30,26,22,18,14,10,8,4,-2.

Jim is twice Sharon's age together their ages add up to 27. how old is each person?​

Answers

Answer:

Jim is 18, Sharon is 9.

Step-by-step explanation:

Sharon has to be 9. Two times 9 is 18, then add 9 to it for sharons age, and you get 27. hope this helps :)

Answer:

Jim is 18. Sharon is 9.

Step-by-step explanation:

9+9=18

18+9=27

can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

X^5/6 * x^1/3 can someone please solve this ?

Answers

5/6 +1/3
5/6 +2/6
7/6
X^ 7/6

''The world shall know pain'' Me: Pain or Pain???????????????

Answers

Answer:

PAIN

Step-by-step explanation:

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