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
-Dominant- [34]
3 years ago
5

A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine

the radius of each scoop, to the nearest tenth.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

You might be interested in
Which of the following best describes the expression 6(y + 3)?
Luda [366]
<span>The product of a constant factor of six and a factor with the sum of two terms, because 6* the sum of y+3.
</span>
7 0
3 years ago
Read 2 more answers
Daniella is interviewing for a job. She wants her take-home pay to be at least $51,000 
Lilit [14]
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:

51,000/x = 85/100

This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.
5 0
3 years ago
during a sale , a shop allows discount of the marked price of clothing . What will a costumer pay for a dress with a marked pric
ollegr [7]

Answer:

35 d

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The length of the diagonal of a rectangle is shown below.
posledela

Answer: J

Step-by-step explanation: Since that the square root of the number 82.25 approximately equals 9.09

Then logically it lies between the integers

9 and 10

6 0
2 years ago
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
Yakvenalex [24]

Answer:

The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12

Step-by-step explanation:

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

for example :-

3x + 4y – 7,  4x – 10, etc.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign

let the quantity mentioned in the question be 'x'

therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is

⇒2x - 12 (answer)

more on algebraic expression at

brainly.com/question/20660076

#SPJ10

3 0
1 year ago
Other questions:
  • Victor borrowed 21.50 from his mother to go to the theater. a week later,he paid her 21.50 back. how much did he still owe her
    7·2 answers
  • Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
    7·1 answer
  • I need help ASAP!
    14·2 answers
  • Which shape is both a rectangle and a square?<br> please help i’ll rate you brainliest
    5·2 answers
  • What should be done to both sides of the equation in order to solve n/6 = -11.9?
    8·1 answer
  • Suppose that F(x) = x2 and G(x) = -1/3(x+4)2. Which statement best compares the graph of G(x) with the graph of F(x)
    10·1 answer
  • Will mark brainliest.
    7·2 answers
  • Find the median of this data set: 2, 5, 5
    14·2 answers
  • Write each rational number as a repeating decimal -7/9
    7·1 answer
  • What is the kinetic energy of a 50-kg child running to catch the school bus at 2 m/s
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!