If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.​

Answers

Answer 1

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]


Related Questions

If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean is 0. Give the set of 3 numbers.

Answers

Answer:

{-2, -1 , 3}

Step-by-step explanation:

When we have a set like:

{x₁, x₂, x₃}

The mode is the value that appears the most, so if there is no mode, then each value appears just one time.

The median is the middle value, here we know that the median is -1, then we can rewrite the set as:

{x₁, -1 , x₃}

The mean is computed as:

Mean = (x₁ + x₂ + x₃)/3

in this case we know that the mean is 0, then:

0 =  (x₁ + x₂ + x₃)/3

then the numerator must be zero, so:

0 =  (x₁ + x₂ + x₃)

replacing the value of x₂ = -1 we get:

0 = (x₁ - 1 + x₃)

where:

-5 < x₁ < -1 < x₃ ≤ 3

Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.

here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).

then:

0 = x₁ - 1 + 3

Now we can solve this for x₁

0 = x₁ + 2

-2 = x₁

Then the set is:

{-2, -1 , 3}

5 exponent 3 · 5 exponent 8

needs to be in exponent form

WILL GIVE BRAINIEST

Answers

Answer:

[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]

Step-by-step explanation:

when the bases are the same, add exponents

help ASAP Please show working​

Answers

Answer:

(a) -1

(b) -2

Step-by-step explanation:

(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1

(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

Answers

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]

Plug in known values

[tex]\frac{2}{300}=\frac{11}{AC}[/tex]

Cross-multiply

[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?

A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV

Answers

C is when both are negative

Answer: c

Step-by-step explanation:

Help, Help, Help, Help, Help,

Answers

Step-by-step explanation:

answer is in photo above

Answer:

0.25

Step-by-step explanation:

f(1)=(1/4)^1

0.25

Sthephanie has 3 3/4 bags of soli to put in her garden. Each bag of soil will cover 125.3 ft how many square feet will sthephanie be able to cover if she uses all bags of soli?

Answers

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

use the function below to find F(3).

F(x) = 4(1/3)^x​

Answers

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]

Answers

Answer:

∠ RST = 68°

Step-by-step explanation:

Since RT = ST then the triangle is isosceles with 2 base angles congruent

∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°

18 km
12 km
20 km
or
14 km

Answers

Answer:

20 km

Step-by-step explanation:

Circumference is given by

C = pi*d

20 pi = pi *d

Divide  each side by pi

20 =d

I dkabouthtisoneiuisrhihurg

I need help solving these problems

Answers

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

find the sum of this infinite geometric series.
HELP!!

Answers

The answer would be 128!!!
The sum of the geometric series is 128

The hall is a rectangle that measures 4m long by 90 cm wide what is the area

Answers

Step-by-step explanation:

the answer is 36000 cm2

please mark the brainliest

QUESTION:

The hall is a rectangle that measures 4m long by 90 cm wide what is the area?

=============================ANSWER:

[tex]\large\tt{36000 \: cm²}[/tex]=============================#BrainliestBunch

┻━┻︵└(՞▽՞ └)

Which product results in x^2-1

Answers

the answer is d!! hope this helps

A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?

Answers

Answer: [tex]100\ cm^3[/tex]

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is [tex]160\ cm^3[/tex]

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]

Sand [tex]5x=5\times 20=100\ cm^3[/tex]

So, there is [tex]100\ cm^3[/tex] of sand in the mixture

passes through (-2, 1) and (2, -5)

Answers

Answer:

The equation of the line is:

[tex]y = -\frac{3}{2}x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope:

We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So

Change in y: -5 - 1 = -6

Change in x: 2 - (-2) = 2 + 4 = 4

Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + b[/tex]

Passes through (-2, 1)

This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So

[tex]y = -\frac{3}{2}x + b[/tex]

[tex]1 = -\frac{3}{2}(-2) + b[/tex]

[tex]1 = 3 + b[/tex]

[tex]b = -2[/tex]

So, the equation of the line is:

[tex]y = -\frac{3}{2}x - 2[/tex]

The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?

Answers

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

624,612 rounded to the nearest hundred is

Answers

Answer:

624,600

Step-by-step explanation:

624,612

612 rounds to 600

624,600

Answer:

624,600

Step by step explanatiom:

cause math

I don’t know how to do these questions so help plz

Answers

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!

120÷[17-{15-3(8-2)}]​

Answers

Answer:

the ans has to be 6.........


Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?

Answers

Given:

Renee has dimes and quarters in her wallet that total $1.60.

She has 2 more dimes than quarters.

To find:

The number of each type of coins.

Solution:

Let x be the number of dimes and y be the number of quarters.

She has 2 more dimes than quarters. So,

[tex]x=y+2[/tex]            ...(i)

We know that,

1 dime = $0.10

1 quarter = $0.25

Renee has dimes and quarters in her wallet that total $1.60. So,

[tex]0.10x+0.25y=1.60[/tex]              ...(ii)

From (i) and (ii), we get

[tex]0.10(y+2)+0.25y=1.60[/tex]

[tex]0.10y+0.20+0.25y=1.60[/tex]

[tex]0.35y=1.60-0.20[/tex]

[tex]0.35y=1.40[/tex]

Divide both sides by 0.35.

[tex]y=\dfrac{1.40}{0.35}[/tex]

[tex]y=4[/tex]

Substituting [tex]y=4[/tex] in (i), we get

[tex]x=4+2[/tex]

[tex]x=6[/tex]

Therefore, the number of dimes is 6 and the number of quarters is 4.

Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?

Answers

Answer:

= $1226.25

Step-by-step explanation:

There are 327 students

Each student lunch is $3.75

She needs 327 of these $3.75 lunches

So 327 times $3.75

= $1226.25

The chart below represents the number of marbles in a jar. What is the probability of picking blue?





P(blue) =

Answers

Answer:

yes

Step-by-step explanation:

What is the length of the hypotenuse of the right triangle in the diagram?

Answers

Answer:

it's hypotenuse will be -8

A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?

Answers

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank

Given the triangle below, what is the measure of x to the nearest foot?

Answers

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)


Which of the following is the value of g(60)?

Answers

It is number one hope it helps :D

What is it yalll !??????

Answers

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ... ​

Answers

Answer:

61,70,79

Step-by-step explanation:

common difference=9

It is an arithmetic progression.

therefore next 3 terms of the sequence is 61,70,79

Answer:

61, 70,79

Step-by-step explanation:

34 - 25 = 9

43 - 34 = 9

52 - 43 = 9

52 + 9 =61

the pattern is plus 9

SHOW WORK PLEASE

Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?

Answers

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Other Questions
At the Santa Barbara fishing hole, people come from all around to catch fish to sell at the fish market.The total number of fish caught is F= 10xx2 where x is the number of fishermen. Suppose it costs each person $20 a day to fish and that fish sell for $10 each at the market. At the social optimum,how much would it hurt all the other fishermen (combined) if one more person started fishing?(a) $30 (b) $20 (c) $10 (d) $40 The value of x for which the expressions 5(3x-4) equal to 2(2x+1) A 2 kg object traveling at 5 m s on a frictionless horizontal surface collides head-on with and sticks to a 3 kg object initially at rest. Which of the following correctly identifies the change in total kinetic energy and the resulting speed of the objects after the collision? Kinetic Energy Speed (A) Increases 2 m/s 3.2 m/s (B) Increases Soold 2 m/s (C) Decreases 3.2 m/s (D) Decreases What is the mass of 6 atom(s) of copper in grams? Jordan is going to a friends birthday party. He couldnt decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon. plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question. Is Antibacterial Soap Beneficial?by Amalia CarringtonQuestion 8:Part B:Which TWO choices best support the answer to Part A?A.When you clean with antibacterial soap, the weakest germs are killed (paragraph 2)B....stubborn germs can resist the chemical compound triclosan, which is the active ingredient in antibacterial soaps. (paragraph 2)C.In recent years, the ability of bacteria to resist such drugs has increased, a fact that alarms many expert. (paragraph 2)D.Some of these experts claim that antibacterial soap should be banned because of the danger of developing more superbugs (paragraph 3)E.By getting rid of these beneficial bacteria, we make ourselves more vulnerable to other harmful, invasive bacteria (paragraph 4)F.After several generations, the result is a class of strong, resistant, superbugs (paragraph 2) In the diagram beside QRS is a straight line QP/RT PRQ = 56 QPR = 84 and +RS X X find x Complete the sentences based on the Enfoque estructural section by conjugating the verb in parentheses. Will Mark Brainlest. (Find the value of x and y if ).(a). (x+y,1)=(3,x-y)(b). (x+5,3)=(2,y-x)(c). (y-2,2x+1)=(x-1,y+2) step by step 3 differnet question I need this by to night somebody help pls A Lewis Dot Structure shows only valence electrons.A. TrueB. False If g(x) = x and h(x) = x^3 - 1, what is g(h(4)) Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags Which sentence best reflects the original meaning of bonsai please help guys its urgent what concept of factory production was borrowed to produce the hit records at motown?A. the assembly-line concept used in the automobile industry.B. the concept of shared decision making C. The concept of cause musicD. All of the above Jim asks Bob how he is feeling. Instead of replying verbally to Jim, Bob gives Jim a "thumbs up" to let him know that he is doing well. Sociologists would describe Bob's response to Jim as which of the following: a. Gestureb. Languagec. Signd. Symbol Question 4(Multiple Choice Worth 5 points)(01.05 LC)Prioritization is best defined asO avoiding an unpleasant task by occupying yourself with something less urgentO identifying the most important or urgent tasks over ones that can wait to be tackledswitching back and forth between tasks or tackling more than one task at the same timethe way that you organize and plan how long you spend on specific activitiesQuestion 5(Multiple Choice Worth 5 points)101 05 MC consider the equation of the line y=-2x+4 what is the value of y when x=2 Answer this question please :)