If p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.​

Answers

Answer 1

Answer:

Step-by-step explanation:

P varies jointly as q and r

 

p=k* q r

 

150 =k *(18)(5)

 

150 = k*(90)

 

150/90 = k

 

5/3 = k

 

find q when p=345 and r =9

 

p=k* q r

 

345 = (5/3) * q *9

 

345 = 45 q / 3

 

1035 = 45 q

 

q=23

Answer 2

The required value of the q in the proportionality relationship is given as q = 23.

Given that,

p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.​

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

P varies jointly as q and r

p =k × q r  - - - - - (1)

150 =k × 18× 5

k = 5 / 3

Put k = 5/3, p = 345 and r = 9 in equation 1

345 = (5/3) × q ×9

q = 23

The required value of the q in the proportionality relationship is given as q = 23.

Learn more about proportionality here: https://brainly.com/question/22620356

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Related Questions

Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?

Select all that apply

The value of c can be found using the formula 30+837

The value of c can be found using the formula C/8.37 = 3

Each baseball cost $25.11

Each boseball cost $279

Answers

The value of c can be found using the formula 3c = 8.37
The value of c can be found using the formula c/8.37=3
Each baseball cost $2.79

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

Use 120 + 20 + M = 180 and A = 1/2bh f

Answers

Answer:

Step-by-step explanation:

Answer 1

Answer = 40 degrees

Answer 2

Area = 1/2 * 6 * 11

=> 33 unitsMark as brainliest for further answers :)

Are these ratios equivalent?
28 hot dogs to 50 hamburgers
15 hot dogs to 30 hamburgers

Answers

Answer:

Step-by-step explanation:

28 : 50 and 15 : 30

14 : 25 and 1 : 2 are not equivalent

Calculate the area of each shape below. Figures are not drawn to scale.

Answers

Answer:

The area of the triangle is 168 meters

Step-by-step explanation:

Formula to find the area of a triangle:

Area = 1/2 Base x Height

So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbers:

Area = 1/2 (16 + 8) x 14

Then, you solve:

Area = 1/2 (16 + 8) x 14

Area = 1/2 24 x 14

Area = 1/2 336

Area = 168 meters

So, the area of the triangle is 168 meters

I want to prove that sin2x/1+cos2x = tan x.

Answers

https://socratic.org/questions/how-do-you-prove-sin-2x-1-cos2x-tan-x

sinx dx+y[tex]sinx dx+y^{2} dy=0

Answers

use photo math it should help hehe

For the function f(x) = 4x2 - 3x - 7, find f(-2).


O 15

O -17

O 3

O -7

Answers

Answer:

15

Step-by-step explanation:

please the answer is 15

The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?​

Answers

Answer:

Height of computer screen in inches = 8.48 inches (Approx.)

Step-by-step explanation:

Given:

Diagonal of screen of laptop computer = 19 inches

Width of screen of laptop = 17 inches

Find:

Height of computer screen in inches

Computation:

Screen diagonal, width and height makes a right angle triangle

So,

Using Pythagoras theorem;

Perpendicular = √Hypoteneus² - Base²

Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²

Height of computer screen in inches = √(19)² - (17)²

Height of computer screen in inches = √361 - 289

Height of computer screen in inches = 8.48 inches (Approx.)

Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.

1/7/18 yd
5/12 yd
1/2/9 yd

Answers

Answer:

If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.

Step-by-step explanation:

1. First, you have to turn them all into an improper fraction.

1 7/18 becomes 25/18

1 2/9 becomes 11/9

5/12 remains the same as it's already an improper fraction.

2. Find a common denominator, which is 36

25/18 becomes 50/36

11/9 becomes 44/36

5/12 becomes 15/36

3. Add them all together and you get 109/36

4. Turn it into a mixed number, and in this case, is 3 1/36

Solution is 3 1/36

Answer:

3 1/36

Step-by-step explanation:

Leo deposited $3,316.25 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?

Express your answer rounded correctly to the nearest cent. Do not include units on your answer.

please help

Answers

Answer:

interest=P(1+r/100)^n-P

interest=3316.25(1+2.5/5200)^676-3316.25

=1273.18 (nearest cent)

Find the missing angle

Answers

Answer:

x+63=90(complementary angle)

x=90-63

x=27

X = 27 both sides need to equal 90 in a angle like this so 27+63=99

What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers​

Answers

Answer:

perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)

Step-by-step explanation:

Or use the formula P = 4a = 4(3) = 12 (cm)

Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]

Answers

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

Determine the minimum sample size required when you want to be99 ​% confident that the sample mean is within one unit of the population mean and o=14.8 . Assume the population is normally distributed.
A confidence level 99%
requires a sample size of

Answers

This is the answer down here

what would the circumference be of a circle if the radius is 14

Answers

C≈87.96 because C=2πr=2·π·14≈87.96459

Find the value of x in the triangle below

Answers

Answer:

50

Step-by-step explanation:

a triangle's angles add up to 180 degrees.

100-80=100

since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two

100/2=50

Find the surface area of a cylinder with a base diameter of 10 in and a height of 8 in.

Answers

Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh

Please help, brainliest for correct answer

Answers

Answer:

10 10 and 20

Step-by-step explanation:

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The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)

Answers

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

x2 + 16x – 2 = 11
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x - c)2 = d.
I
+
utan
pls help

Answers

Answer:

(x+8)^2=77    and   x=negative 8±√77

Step-by-step explanation:

After watching a video, I got it right on Khan

The equation with completing the squares is (x + 8)² = 77.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + 16x - 2 = 11

We can make complete squares.

x² + 16x - 2 - 11 = 0

x² + 16x - 13 = 0

x² + 2 x 8 x (x) -8² + 8² - 13 = 0

(x² + 16x + 8²) - 64 - 13 = 0

(x + 8)² - 77 = 0

(x + 8)² = 77

Thus,

The equation is (x + 8)² = 77.

Learn more about equations here:

https://brainly.com/question/17194269

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X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining

Answers

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?

Answers

All you need to do is multiply 2 by 5 and you'll get the answer of 10

Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..

Answers

Answer:

edf

Step-by-step explanation:

I think it’s real numbers
Sorry if it’s wrong

Myles has a room that is 300 m². If he wants to tile the room using 5 cm x 5 cm tiles, how many whole tiles will he have to use?

Answers

Answer:

Number of whole tiles need = 120,000 tiles

Step-by-step explanation:

Given:

Area of room = 300 m²

Dimension of each tile = 5cm x 5cm

Find:

Number of whole tiles need

Computation:

Dimension of tile in meter = 5 /100 = 0.05 m

Area of each tile = 0.05 x 0.05

Area of each tile = 0.0025 m²

Number of whole tiles need = Area of room / Area of each tile

Number of whole tiles need = 300 / 0.0025

Number of whole tiles need = 120,000 tiles

Total 120,000 tiles need to cover 300 m² room.

Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax?

Answers

To solve this problem you take the price and multiply it by the tax percentage.

$100 x 5% = 5

Then add $5 (total of tax) to the price.

The TOTAL with tax would be $105

Chow do I solve 6w - 6 = 54

Answers

Answer:

w = 10

Step-by-step explanation:

6w - 6 = 54

6w = 54 + 6

6w = 60

w = 60/6

w = 10

Maria and Veronica go to a restaurant Maria orders 4 taco’s and a drink, and pays $7. Veronica orders 3 taco’s and two drinks, and pays $7.75. Write a system of equations and solve to find the cost of each taco and drink.

Answers

Answer:

y=7+4 and y=7+3

Step-by-step explanation:

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Answer:

-8,4

Step-by-step explanation:

Simplify the following expression.



(3x−6)+(5x−5)
PLEASE I NEED HELP

Answers

Answer:

8x-11

Step-by-step explanation:

3x+5x=8x

-6+-5=-11

8x-11

Answer:

8x-11 hope nthisbelps sorry if im wrong

Step-by-step explanation:

Which of the numbers given
are rational?
Select all that apply:

8.634092...

6.28232

7144

1.465359...

32.71481

Answers

Answer:

7144

Step-by-step explanation:

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