If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.

Answers

Answer 1

Answer:

q = 4

Step-by-step explanation:

given p and q vary inversely then the equation relating them is

p = [tex]\frac{k}{q}[/tex] ← k is the constant of variation

to find k use the condition p = 29 when q = 16 , then

29 = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )

464 = k

p = [tex]\frac{464}{q}[/tex] ← equation of variation

when p = 116 , then

116 = [tex]\frac{464}{q}[/tex] ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4


Related Questions

20 students in total. 10
play sports and 12 play music. 2 of them
don't play anything and some are play
both. What's the percentage for students
play both?

Answers

Answer:

20%

the above was solved using set

Concert tickets cost $70 each. A college student ordered some tickets online. There
was a service fee of $3.50 per ticket. The student has $367.50. How many tickets
did can he order?

Answers

Answer:

The college student can get 5 concert tickets

Step-by-step explanation:

$367.50÷(70+$3.50)

Please help asap! I will gave brainlest!

Answers

The Answer to the problem is 1.

Damon plotted a point on the grid. He says that the first number of the ordered pair is negative and the second number of the ordered pair is positive. Based upon this information, which of the points below could be Damon's?

A. H
B. J
C. K
D. L​

Answers

Answer:

A) H you have to run before you can climb is what my teacher told me when looking at a graph so when reading the problem you have to run left for negative then climb for positive leaving the answer being a) h

*Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 12 feet, then hits the floor and rebounds to 9.6 feet.
Write an explicit formula for the sequence.
Also, How high will the ball rebound after its fourth bounce?

Answers

Answer:

The explicit formula is [tex]a_n=15(\frac{4}{5})^{n-1}[/tex].

Step-by-step explanation:

First, we need to find the common ratio. We know this is a geometric sequence because the decrease from one term to the next is not a constant number.

To find the constant ratio, we can take the [tex]2^{nd}[/tex] term and divide by the [tex]1^{st}[/tex] term:

[tex]\frac{2nd}{1st}=\frac{12}{15}=\frac{4}{5}[/tex]

So, our common ratio is [tex]r=\frac{4}{5}[/tex].

We already know our initial term, [tex]a_0[/tex] is 15, so we get:

[tex]a_n=a_0(r)^{n-1}\\a_n=15(\frac{4}{5})^{n-1}[/tex]

Which set of coordinate pairs do NOT represent a linear function?
(-4, -12), (-3,-10), (-2, -8), (-1,-6)
O (-4, -17), (-3, -10), (-2,5), (-1,2)
O (1, -7), (2, -10), (3, -13), (4, -16)
O (1, 1), (2, 4), (3, 7), (4, 10)

Answers

Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

Step-by-step explanation:

All the coordinates are represent linear function.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Taryn had 7/8 of a pound of sugar. She used some
of the sugar to make muffins. She has 3/8 of a
pound of sugar left. How much sugar did she use to
make muffins?

Answers

Answer: 1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 = 1/2

Answer:

she used 4/8 of the sugar

Step-by-step explanation:

(a-b+c)-(c+b)

I literally tried so many times i dont get it

Answers

Answer:

a - 2b

Step-by-step explanation:

Step 1: Distributive negative sign.

[tex](a-b+c)+(-1)(c)+(-1)(b)[/tex] [tex]a-b+c-c-b[/tex]

Step 2: Combine like terms.

[tex](a)+(-b-b)+(c-c)[/tex] [tex]a-2b[/tex]

Therefore, the answer is a - 2b.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

a-2b

Step-by-step explanation:

(a-b+c)-(c+b)

Distribute the minus sign to the terms in the second parenthesis

a-b+c-c-b

Combine like terms

a-b+c-c-b

a-b-b+c-c

Cancel like terms

a-2b

Solve the linear inequality. Other than ∅​, graph the solution set on a number line.
Find the solution set in interval notation.

12x-8≤6x-15

Answers

The solution for the linear inequality, in interval notation, is [tex]\:(-\infty \:,\:-\frac{7}{6}][/tex].

Inequality

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use of follow symbols: (less than or equal to), (greater than or equal to), < (less than) and > (greater than).

The solutions for inequalities can be given by: graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for  the given inequality.

                                 12x-8≤6x-15

                                12x-6x≤ -15+8

                                   6x≤-7

                                    x≤ -7/6

Read more about inequalities here.

brainly.com/question/25275758

The amount of television viewed byâ today's youth is of primary concern to Parents Against Watching Televisionâ (PAWT). 300 parents of elementaryâ school-aged children were asked to estimate the number of hours per week that their child watches television. The mean and the standard deviation for their responses were 12 and 3â, respectively. PAWT constructed aâ stem-and-leaf display for the data that showed that the distribution of times was aâ symmetric, mound-shaped distribution. Give an interval where you believe approximatelyâ 95% of the television viewing times fell in the distribution.

a. less than 9 and more than 15 hours per week
b. between 3 and 21 hours per week
c. between 6 and 18 hours per week
d. less than 18

Answers

Answer:

Option C. between 6 and 18 hours per week

Step-by-step explanation:

We are given that distribution of times is symmetric and mound shaped and this implies that data is normally distributed.

We also know that in the normal distribution the 95% of data lies within 2 standard deviations i.e. mean± 2*standard deviation.

So, 95% of the television viewing times falls in interval

mean± 2*standard deviation

12±2*3

12±6

[6,18]

Thus, [6,18] is an interval where you believe approximately 95% of the television viewing times fell in the distribution.

Find the value of:
a) 8
9
×
−3
4

Answers

Step-by-step explanation:

89 multiplied by negative 34 gives a negative answer, since positive multiplied by negative is negative hence,

(89) × (-34) = -3026

Find the length of the line below.

A. 2 in.
B. 2 3/16 in.
C. 2 5/16 in.
D. 3 in.

Answers

Answer:

A)

Step-by-step explanation:

Starting point is at o and ending point at 2.

So, 2 in

What is the probability of getting a 7 of spades in a deck of 52 cards?

Answers

Answer:

I'm sure it's 1/52

Step-by-step explanation:

because if there is 52 cards and one 7 of spades then it would be a 1 out of 52 chance

What is the value of x in the figure?
Enter your answer in the box.
x=

Answers

A little square marked on angle means that the angle is 90 degrees.

By the vertical angle theorem, angles opposite each other are equal thus the angle opposite the angle with the little square is also 90 degrees.

That angle is split into two angles that is off measure 22 degrees and x degrees

  -- x + 22 = 90 --> x = 68.

Hope that helps!

Answer:

68

Step-by-step explanation:

[tex] \hookrightarrow \: x + 22 = 90(complementary \: angles) \\ [/tex]

[tex] \hookrightarrow \: x + 22 = 90 \\ \hookrightarrow \: x = 90 - 22 \\ \hookrightarrow \: x = 68[/tex]

what's the área of this triangle?​

Answers

Answer:

192 SQUARE FEET

Step-by-step explanation:

Area of a triangle= 1/2 ×base×height

1/2 of the base =32/2 ft

=16 ft

Let the height be A ft and another side(16 ft) be B ft

We know that, A^2 + B^2 =Hypotenuse^2

OR, A^2 + 16^2 = 20^2

OR, A^2= 400-256

OR, A^2 =144

OR, A= Square root of 144

OR, A=12 ft

By the problem,

1/2 ×Base×Height =Area of half of the triangle

1/2 ×16×12= Area of half of the triangle

96=Area of half of the triangle

AREA OF THE TRIANGLE=96 ×2

AREA OF THE TRIANGLE=192 SQUARE FEET.

HOPE IT HELPS

MARK ME BRAINLIEST

Find the area of the kitchen

Answers

i think u multiply the number on the side and the number on the top or bottom of the kitchen. i can't see very clearly but i hoped this helped.

Which graph represents a proportional relationship?

Answers

Answe point me

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Jack wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 5

3

4
Mixed number

ft by 3

1

2

ft. Find the area the carpet needs to cover.

Answers

The area of the floor the carpet needs to cover is 20 1/8 cm².

What is the area the carpet needs to cover?

The floor has the shape of a rectangle. A rectangle is a 2-dimensional quadrilateral with four right angles.

Area of a rectangle = length x width

5 3/4 x 3 1/2

23/4 x 7/2 = 161/8 = 20 1/8 cm²

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

plss help me plss #2​

Answers

Answer:

8

Step-by-step explanation:

2 ÷ 1/4 = 8
You can draw 2 squares and make them into quarters for your diagram. Hope this helped!

Answer:  There are 8 1/4 inches in 2 inches.

Step-by-step explanation:

1/4 x 4 = 1, so 1/4 x 8 = 2

Diagram can be made to look as splitting 2 inches into 8 parts.

Write the ratio 4/5 over 7/5 in its simplest form! Need Answer ASAP

Answers

Answer:

[tex]\frac{4}7[/tex]

Step-by-step explanation:

Just as a reminder, to find the ratio of 2 numbers, you divide the first by the second, and to divide 2 fractions, you multiply the dividend by the reciprocal of the divisor.

In this case, that would be:

[tex]\frac{\frac{4}{5}}{\frac{7}{5}}[/tex]

[tex]= \frac{4}{5} \cdot\frac{5}{7}[/tex]

=[tex]\frac{4}7[/tex]

I hope this helped you.

Determine whether f(x) = –52 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.

Answers

Answer:

minimum

Step-by-step explanation:

Because of the negative infront of 52. The graph opens downward which makes it minimum. Hope this helps

consider the graph
6
4
2
What is the midline? urte as an equation)
What is the period of the function?
What is the amplitude of the function?
What is the equation of the function? f(x)=
Help please

Answers

Answer:

[tex]\displaystyle \boxed{y = -3} \\ \boxed{\pi} \\ \boxed{N/A} \\ f(x) = \boxed{-2cot\:(x + \frac{\pi}{2}) - 3}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = Acot(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]

OR

[tex]\displaystyle f(x) = \boxed{2tan\:x - 3} \\ \\ f(x) = Atan(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS a tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle f(x) = 2cot\:x - 3,[/tex]in which you need to replase "tangent" with "cotangent", then figure the appropriate C-term out that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two graphs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1},[/tex]but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle f(x) = -2cot\:(x + \frac{\pi}{2}) - 3.[/tex]Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are at [tex]\displaystyle -\frac{\pi}{2} = x\:and\:\frac{\pi}{2} = x.[/tex]From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{\pi} = \frac{\pi}{2} + \frac{\pi}{2}.[/tex]So, the period of this function is [tex]\displaystyle \pi.[/tex]Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -3.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.

–5.4(–0.7 + u) =
What is the answer?

Answers

Answer:

u = 7\/10

Step-by-step explanation:

soIve for x. Show your work or no credit 1) -8x + 10x - 5 = 35​

Answers

Answer:

x=20

Step-by-step explanation:

Based on the measures shown, could the figure be a parallelogram?
A Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
B Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 8 in.
C No, there are three different values for x when each expression is set equal to 10.
D No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

Answers

Well to my measurements I’ve been in school long enough and to my calculations the answer is B

Hope this helps!!

Four years ago Ravi was 8 years older than Priya. If he is now 3times as old as she is, find their present ages?

Answers

Answer:

24

Step-by-step explanation:

Hope this helps and please mark me brainliest :D

Find the area (hint: find the value of x first)

Answers

Answer:

C. 128 in²

Step-by-step explanation:

We know that the opposite sides of rectangles are congruent, so 8 = 2x. If we divide 8 by 2 and 2x by 2, we get x = 4.

This means that the other side length, (3x + 4), equals 3(4) + 4 = 12 + 4 = 16 inches

Now, the area of a rectangle is l × w, where l = length and w = width. The dimensions of this rectangle are 8 and 16, so 8 × 16 = 128 in².

Angle MNP ~ Angle HJK.
Both triangles are isosceles. if m

Answers

Answer:

Angles H, J, M, N

Step-by-step explanation:

Since m<p is 90 degrees it must be the largest angle so both triangles have angle 45-45-90. m<P is equal to m<K. This means that angle h, j, m, and n are equal.

angles M, N, and J.

try drawing diagrams to help you figure out the problem :)

How many solutions does the equation: 4x+2=12x+6 have?

Answers

1 solution as the highest power on the unkown, x, is 1 so it’s a linear equation this causes it to have only 1 solution

Find the value g(-2), where g is defined below.
g(x) = 2x^2- 4x – 4

Answers

Answer:

12

Step-by-step explanation:

For this question, simply plug in -2 for x:

[tex]g(-2)=2(-2)^2-4(-2)-4\\g(-2)=2(4)+8-4\\g(-2)=8+8-4\\g(-2)=12[/tex]

Hope this helps!!

Other Questions
Your AssignmentWhat is the fractional equivalent of the repeating decimal n = 0.1515... ?Answer the questions to find out.1. How many repeating digits does the number represented by n have?Write your answer in the space below.2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.Write your answer in the space below.3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.Write your answer in the space below.4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.Write your answer in the space below.5. Write n as a fraction in simplest form. Show your work.Write your answer in the space below. List three interesting facts you notice about the painting A portrait of Henry the Eighth wearing extravagant clothing. There is very little background shown. Which river is the boundary between northern and southern China?Yellow RiverHuang He RiverYangzte RiverNile River Dan invests 13000 into his bank account. He receives 4,7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate, Find the measures of the complementary angles that satisfy each case.The measure of the first angle is 40 less than the measure of the second.Answer: x+(x+40)=90PLS SHOW UR WORK. IF U ARE ABLE TO, DO A STATEMENT AND REASONING. Jayne has been tested to have an iq of 70. This suggests that she has a ____ level of intellectual disability What is the greatest common factor shared by 9 and 57 The electrical charge of the nucleus of an atom is +12. How many electrons does the atom have in its neutral state?O 6O 12O 18O 24 Need help finding the slope and how to graph it. What is the solution of log (2 t 4) = log (14 minus 3 t)? 18 2 2 10 counter argument about benefits of attending an all girls/ boys school. FINALS!! PLEASE HELP!determine the number of solutions for (8x-2)=6(4x-1) How many hydrogen (H) atoms are there in this chemical formula? 3C5HgNNaO4 Red squirrels usually eat hazelnuts, but due to a reduction in their food source, they had to share resources with gray squirrels. The number of red squirrels decreased over time, and gray squirrels gradually replaced the red squirrels because they are better adapted to the environment. This is an example of Now represent 5 1/4 as a fraction greater than 1. PLEASE help will give brainless what is the area?write your answer as a fraction or as a whole or mixed number What is the top asnwer............... What is the definition of the opening for a creative writing piece?A. More of the plot is revealed and we learn more about the characters.B. The crisis has passed and the story endsC. The climax or peak of the action.D. Some of the characters are introduced and we learn a little bit about the plot. Find the length of segment XMplease HELP