If p varies jointly as m and r, and p = 180, when p = 5 and r = 8, then find m when p = 324 and
r = 6.

Answers

Answer 1

Answer:

m = 12

Step-by-step explanation:

If p varies jointly as m and r, then;

p = kmr

k is the proportionality constant

Given that p = 180, m = 5 and r = 8

180 = k(5)(8)

180 = 40k

k = 180/40

k = 4.5

To get m when p = 324 and r = 6

324 = 4.5(m)(6)

324 = 27m

m = 324/27

m = 12

Hence the value of m is 12


Related Questions

An English instructor asserted that​ students' test grades are directly proportional to the amount of time spent studying. Lisa studies 4 hr for a particular test and gets a score of 72. At this​ rate, how many hours would she have had to study to get a score of 96​?

Answers

Answer:

12 hours.

Step-by-step explanation:

help me please!!!!!!!!​

Answers

Answer:

16/19 students

New Answer:

3/5 students

Step-by-step explanation:

Work out the size of angle BCD

Answers

Answer:

sin62=BD/AB

BD=Sin62×AB

BD=Sin62×15

BD=13.24

ALSO,

Tan C = BD/BC

Tan C = 13.24/24

Tan C = 5.51 / 10

C = Tan^-1 ( 5.51 / 10 )

Answer:

∠BCD = 29°

Step-by-step explanation:

sin 62 = BD/15

0.8829 = BD/15

BD = 13.24

tan ∠BCD = 13.24/24 = 0.5517

∠BCD = 29°

Which graph represents the same relation as the set {(-3,2).(5.5)(3,3).(3.-2)}}
Please hurry:(?

Answers

Answer:

b

Step-by-step explanation:

Which of the following is an expression for "doubling a number n and dividing by 3"

Answers

Answer:

its 2n / 3 i hope it helped u thanks

A chef plaining for a large banquaet think that 2 out of every 5 dinner guests will order his soup appetizer he expects 800 guests at the banquat use equvilent ratios to estimate how many cups of soup he should prepare

Answers

Answer:

I think 80

Step-by-step explanation:

2*5=10

800/10 = 80

80 soups

320 people would order so im not sure how many cups each person would eat but if each person eats one cup of soup then it should be 320 cups

what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]

Answers

The answer is bc you do 8(a+8)=2(a-4) then it turns to 8a+64=2(a-4) to 8a-2a+64=-8 to 6a=-8-64 to 6a=-72 to the answer A=-12

Divide 2.2 and 41.5 :)

Answers

Answer:

39.3

Step-by-step explanation:

NEVER GONNA GIVE YOU NEVER GONNA LET YOU DOWN

The mean number of minutes spent on a
treadmill at the local gym is 28 minutes with a
standard deviation of 8. If Kurt's z-score is
1.75, how much time did he spent on the
treadmill?

Answers

Answer:

With a z score of 1.75, mean of 28 and standard deviation of 8

1.75=(Xi-28)/8

14=(Xi-28)

42 = Xi

Kurt was on the treadmill for 42 minutes

Step-by-step explanation:

What’s the missing side length?

Answers

4 yd. 9-5=4. Hope this helps!

Each bus for Philips Elementary School transports 40 students to school. There are 12 buses that transport students to school each day. How many students are transported to school each day by bus? Show your work.

Answers

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480

La profundidad de una alberca aumenta paulatinamente desde 0.80 metros hasta 3 metros en una longitud de 10 metros cual es el angulo de inclinacion de la alberca

Answers

Answer:

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Step-by-step explanation:

Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:

[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)

Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:

[tex]\alpha \approx 12.407^{\circ}[/tex]

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

HELP ill mark you brainlist

Answers

Answer:

-8 + 11n OR 11n - 8

Step-by-step explanation:

an = 3 + (n-1)11

an = 3 + 11n - 11

an = -8 + 11n OR 11n - 8

Hope that helps!

Answer:

find the last SIMPLIFIED number

11 x 5 = 55

55 simplfiied = 27.5

Step-by-step explanation:

sorry if this is wrong. i tried my best trying to look for the answer

Graphing & Solving Inequalities ​

Answers

Answer:

x ≥ 1

Step-by-step explanation:

3 + 4x ≥ 7

3 - 3 + 4x ≥ 7 - 3

4x ≥ 4

4x / 4 ≥ 4 / 4

x ≥ 1

Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2

Answers

Answer:

5: 2 or 10: 4

Step-by-step explanation:

as a ratio, this would be 5: 2.

Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get

10 : 4

can you begin solving x-2/x+3 ≥2 by multiplying both sides of the inequality by x+3? Explain your answer.

Answers

Answer:

yes, but there is a better way

Step-by-step explanation:

instead of multiplying x+3 on both sides, I would instead subtract 2 on both sides. If you do this, it would be easier to write this equation in standard form and find the intervals.

In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.

To solve the inequality (x - 2)/(x + 3) ≥ 2, we need to consider the impact of multiplying both sides of the inequality by x + 3.

When multiplying both sides of an inequality by a positive number, the direction of the inequality remains the same. However, if we multiply both sides by a negative number, the direction of the inequality is reversed.

In this case, the expression x + 3 is in the denominator of the left side of the inequality. If we multiply both sides of the inequality by x + 3, we need to consider two scenarios:

If x + 3 is positive: In this case, we can multiply both sides of the inequality by x + 3 without changing the direction of the inequality.

If x + 3 is negative: Multiplying both sides of the inequality by x + 3 would require flipping the direction of the inequality.

Therefore, we need to ensure that x + 3 is positive before multiplying both sides by x + 3 to preserve the direction of the inequality.

To determine when x + 3 is positive, we set the denominator equal to zero and solve for x:

x + 3 = 0

x = -3

So, if x > -3, then x + 3 is positive.

In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.

To know more about  "inequality."  here

https://brainly.com/question/25944814

#SPJ2

Help me photo is attached below pleaseeee I beg youuu

Answers

Answer:

15? i'm not too sure, the wording is throwing me off

Step-by-step explanation:

Answer:

15 dogs

Step-by-step explanation:

dogs : cats : rabbits

5 : 2 : 1

? : ? : 3

1 rabbit = 2 cats

2 cats = 5 dogs

1 rabbit = 2 cats

2 rabbits = 4 cats

3 rabbits = 6 cats

2 cats = 5 dogs

4 cats = 10 dogs

6 cats = 15 dogs

Please help we with this.

"a card is shaped like a rectangle, The card is 9 centimeters long and 4 centimeters wide. what is the area?"

answers:

49
36
13
5

Answers

Answer:

36

Step-by-step explanation:

To find area you multiply length×width which is the same as 9×4

9×4= 36

Answer:

36 centimeters

Step-by-step explanation:

A = l x w

A = 9 x 4

A = 36

Find the length of AB

Answers

Answer:

B. 25.2

Step-by-step explanation:

AB = AC - BCAC/50 = tan(18° + 28°)AC = 50 tan 46° ≈ 51.8BC/50 = tan 28°BC = 50 tan 28° ≈ 26.6AB = 51.8 - 26.6 = 25.2

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

(7^0)*7^2. please solve this problem fast​

Answers

Answer:

49

Step-by-step explanation:

PLease mark brainliest

From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true. A. 72 B. 36 C. none of these D. 24

Answers

Complete question :

From the set {24, 36, 72}, use substitution to determine which value of x makes the inequality true.

x ÷ 12 < 3

Answer:

24

Step-by-step explanation:

Given the inequality : x ÷ 12 < 3

Substitute the values in the set for X and test the inequality expression if it hoods true for each of the substituted value.

x = 24

24 ÷ 12 < 3

2 < 3 (true)

x = 36

36 ÷ 12 < 3

3 < 3 (false)

x = 72

72 ÷ 12 < 3

6 < 3 (false)

Perform the operation (x^2+8x+8)+(-10x^2+5x)

Answers

Answer:

Step-by-step explanation:

(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8

= -x^2 +13x + 8

Answer:

-9x^+13x+8

Step-by-step explanation:

A sports equipment researcher investigated how different types of wood used to make baseball bats might affect batting. The researcher selected a sample of 80 batters from summer baseball leagues and randomly assigned the batters to one of two groups: the ash bat group or the maple bat group. The mean number of hits for each group was recorded at the end of the season, and the difference in the sample means was calculated. Which of the following is the appropriate inference procedure for analyzing the results of the investigation?
A. A one-sample t-interval for a population mean
B. A one-sample t-interval for a sample mean
C. A matched pairs t-interval for a mean difference
D. A two-sample t-interval for a difference between sample means
E. A two-sample t-interval for a difference between population means

Answers

Answer:

E  

A two-sample  t -interval for a difference between population means

Step-by-step explanation:

i just took the test

The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means

Analysis the results of the investigation:

Since the researcher selected a sample of 80 batters from summer baseball leagues and batters assigned to one of the two groups. So this means that the researcher is interested to know whether the mean no of hits should be different for two groups and both groups are independent to each other.

Therefore, The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means

learn more about mean here: https://brainly.com/question/10132345

Ivanka has 108 inches of fabric for a blanket. The pattern calls for 24 yards. How
much extra fabric does she have?

Answers

The answer is 84 because is u take 24 away from 108 u will get 84

How far up the house would a ladder be resting if it is 25 ft long and 3 ft
away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft

Answers

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

A certain rectangle
has a perimeter of 10 units and an area
of 6 units. Two of the vertices have
coordinates (1,7) and (1, 4). Find the two
missing coordinates.

Answers

Answer:

Step-by-step explanation:

Distance between (1,7) and (1,4) = 3

Length of adjacent side = area/3 = 2

Remaining vertices: (3,7) and (3,4), or (-1,7) and (-1,4)

Select the formula for the xth term of the sequence.
3, 11, 19,

Answers

Answer:

8n - 15

Step-by-step explanation:

for finding the nth term we need to figure out the difference between the numbers:

3,11,19 = difference of 8

multiples of 8:

8,16,24,32,40...

the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5

Factor completely: 2x^3-12x^2+18x

Answers

Answer:

2x(x - 3)²

Step-by-step explanation:

We can simplify this a lot by first factoring 2x out of each term:

2x³ - 12x² + 18x

= 2x(x² - 6 + 9)

We can then factor the trinomial fairly easily, as it's a perfect square:

= 2x(x - 3)²

A car starting from rest accelerates at a rate of 7.5 m/s2. What is its final speed at the end of 4.0 seconds?

Answers

Step-by-step explanation:

initial velocity is 0

time is 4 seconds

acceleration is 7.5mper second square

using the formula s=ut+1/2at^2[distance equal to initial velocity times time plus half into acceleration times (time )squared] substitute s=0×4+2×7.5 ×4^2

s=0+7.5×16

s=120m

Help me with this pls

Answers

the answer is C) 180°
the answer is c!!!!!
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