answer.
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
lozanna
3 months ago
6

A stack of one dozen cookies of diameter 2.5 in. exactly fits in a cylindrical container of volume 29.452 in3. Which is the thic

kness of each cookie?
Mathematics
1 answer:
Svet_ta [12.7K]3 months ago
8 0

Each cookie has a thickness of 0.5 inches

Step-by-step explanation:

   The total volume of the cylinder is given by 29.452 in^{3}

Diameter of each cookie is 2.5 in. The cylinder can hold exactly 12 cookies stacked inside. The thickness for each cookie equals t.

\textrm{Volume of cylinder = }12\textrm{ x Volume of cookie}

29.452=12(\pi (\frac{2.5}{2} )^{2}t )

t=0.5\textrm{ in}

Thus, the thickness of every cookie is established to be 0.5 inches.

You might be interested in
At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignmen
tester [12383]

Response:

The answer is many to one

Step-by-step explanation:[[TAG_9]][[TAG_10]][[TAG_11]]
6 0
2 months ago
Read 2 more answers
The data set represents the total number of people who bought bananas each hour at a grocery store.
lawyer [12517]
It's A. I just finished the quiz.
6 0
2 months ago
Read 2 more answers
10 times as many as blank hundreds or 60 hundreds is blank thousands
Svet_ta [12734]

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

  • 10 times a given quantity of _____ hundreds results in 60 hundreds
  • 60 hundreds convert to _____ thousands

We will divide this into two segments:

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }... Equation-1

\boxed{ \ 60 \times 100) = M \times 1,000 \ }... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }

\boxed{ \ 1,000 \times N = 6,000 \ }

Both parts will be divided by 1,000, essentially being multiplied by \frac{1}{1,000}.

\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }

Thus, we conclude with \boxed{\boxed{ \ N = 6 \ }}

Next, we process Equation-2 to derive M's value.

\boxed{ \ 60 \times 100) = M \times 1,000 \ }

\boxed{ \ 6,000 = M \times 1,000 \ }

Rearranging this equation to place M on the left side appears as follows:

\boxed{ \ M \times 1,000 = 6,000 \ }

Again, both sides undergo division by 1,000, which translates to multiplication by \frac{1}{1,000}..

\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }

This results in \boxed{\boxed{ \ M = 6 \ }}

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }

\boxed{ \ 6 \times thousands = \ M \ thousands} \ }

\boxed{\boxed{ \ M = 6 \ }}

Additional resources

  1. A more detailed version of this topic
  2. 2 thousands 7 tens divided by 10 equals what?
  3. 100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

4 0
3 months ago
Read 2 more answers
an auto transport truck holds 12 cars. A car dealer plans to bring in 1006 new cars in June and July. if an auto transport truck
tester [12383]

Divide 1006 by 12

1006 / 12 = 83.833

This results in 83 complete trucks

83 * 12 = 996

Hence, 10 cars will be in the final truck

5 0
2 months ago
Read 2 more answers
Other questions:
  • ∠UVW and ∠XYZ are complementary angles, m∠UVW=(x−10)º , and m∠XYZ=(4x−10)º .
    8·2 answers
  • Which equation is represented by the graph below?
    6·2 answers
  • George took a nonstop flight from Dallas to
    9·1 answer
  • Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns $
    13·2 answers
  • A square rotated about its center by 360º maps onto itself at _____ different angles of rotation. You can reflect a square onto
    5·1 answer
  • Kendra charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for th
    8·2 answers
  • A sample of 14 joint specimens of a particular type gave a sample mean proportional limit stress of 8.48 MPa and a sample standa
    13·1 answer
  • Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
    12·1 answer
  • Which pairs of rectangles are similar polygons?<br><br> Select each correct answer.
    10·2 answers
  • A shipping box has the dimensions shown. What is the volume of the box in cubic yards ?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!