1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgen [1.6K]
2 years ago
13

M is directly proportional to r3When r = 4, M = 160a) Work out the value of M when r = 2.​

Mathematics
2 answers:
Natali [406]2 years ago
6 0

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

aliya0001 [1]2 years ago
4 0

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

You might be interested in
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what
Citrus2011 [14]

<em>The complete exercise with the answer options is as follows:</em>

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

692 thick crust pizzas

Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

total pizzas  : 1040

Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

1040→240

3000→x

x= \frac{3000x240}{1040} = 692

Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas

3 0
3 years ago
Classify the triangle shown below. check all that apply? 60 60 60
Stells [14]
Your Answer Is....

A) Acute, C) Equilateral, And D) Isosceles. 

Why?

Acute = All Sides Less Than 90°. Equilateral = All Sides The Same. Isosceles = 2 Or 3 Sides The Same. Therefore, A, C, And D Are Your Answers.

≈≈≈≈ Glad I Could Help, And Good Luck! ≈≈≈≈

My Name: AnonymousGiantsFan 
6 0
3 years ago
Read 2 more answers
Math Plz Help. <br><br>Please graph with two points! <br>explain how you found your answer
Softa [21]
X intercept: y = 0
y= -3/4x -4
0 = -3/4 x - 4
4= -3/4 x
4 • -4/3 = x
-5.3 = x
y intercept: x = 0
y = -3/4 x -4
y = -3/4 (0) -4
y = -4
the points are (-5.3, 0) and (0, -4)
3 0
3 years ago
F (x) = 3x^2+ 5 x -14
elena-14-01-66 [18.8K]

Here is the answer

6 0
2 years ago
Help pleeeeeeeeeease ?
cupoosta [38]
The answer is choice D.
Cause it can't be calculate.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate each expression. 3^-2
    12·2 answers
  • Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minut
    13·1 answer
  • Help me plz i have 8 mins!!
    11·2 answers
  • How do you estimate weight?
    5·2 answers
  • 19.86 - 4.94 please help i don’t u understand this
    11·2 answers
  • X-5 is greater than or equal to-8​
    8·1 answer
  • Graph the linear function.<br> 8(x) = x + 3
    8·1 answer
  • The radioactive element carbon-14 has half of 5750 years. A scientist determined that the bones from a mastodon has lost 56.6% o
    6·1 answer
  • Write the word sentence as and equation or inequality A number divided by 7 equals 14
    6·1 answer
  • -10 = y/11 -13 what is y
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!