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
charle [14.2K]
3 years ago
15

There are 900 toothpicks in a​ regular-sized box. If a jumbo box is made by tripling all the dimensions of the​ regular-sized bo

x, how many toothpicks will the jumbo box​ hold?
Mathematics
2 answers:
Colt1911 [192]3 years ago
6 0

When you triple the height of the box, it can hold (900 x 3) = 2,700 pieces.

Then triple its length, and it can hold (2,700 x 3) = 8,100 pieces.

Then triple its width, and it can hold (8,100 x 3) = 24,300 pieces.

When you triple the dimensions of a 3D object, it has 27 times its original volume.  (900 x 27) = 24,300 .

Vaselesa [24]3 years ago
4 0

Answer: 24300 toothpicks

Step-by-step explanation:

The volume of the box can be written as:

V0 = W*L*H

where W is the width, L is the length and H is the height.

We know that in V0 we can put 900 toothpicks.

Now, if we triply each of the dimensions we have that:

V = 3W*3L*3H = (3*3*3)*W*L*H

and we know that W*L*H = V0

V = 27*V0

and if in V0 we can put 900 toothpicks, then in V we can put 27 times that amount, this is:

27*900 = 24300 toothpicks

You might be interested in
Convert the following to standard form, then write
Ivahew [28]

Answer:

f(x)=x^2+6x+9

Step-by-step explanation:

We are required to represent the expression given in the standard form to the quadratic form

Given

f(x) = (x + 3)^2

let us square the given expression

f(x)=(x+3)(x+3)

open brackets

f(x)=x^2+3x+3x+9

sum the similar terms

f(x)=x^2+6x+9

6 0
3 years ago
Answer to this equation
Katen [24]
The answer would be 30 over 4
7 0
3 years ago
In an auditorium, 1/6 of the students are 5th Graders, 1/3 are 4th Graders, and 1/4 of the remaining students are 2nd graders. I
avanturin [10]
1/2 of the class are 5th and 4th
1/2 of 96= 48
1/4 of 48 =12
5 0
3 years ago
A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

boom   :)

5 0
3 years ago
Find the determinant of A.<br><br><br>A.29<br>B.2<br>C.-2<br>D.13<br>​
strojnjashka [21]

Answer:

Step-by-step explanation:

The determinant of a matrix is a special number that can be calculated from a square matrix.

...

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column.

Likewise for b, and for c.

Sum them up, but remember the minus in front of the b.

7 0
3 years ago
Other questions:
  • Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr and then for another 2 hours and 5 minutes with a constant
    7·1 answer
  • Is 40,10,5/2,5/8 geometric or arithmetic
    6·2 answers
  • Joe solved this linear system correctly.
    10·1 answer
  • Rearranging literal equations ASAP NEED HELP
    12·1 answer
  • 3+1/2(5-x)&lt;-5<br><br>the solution is______​
    11·2 answers
  • Complete the table to find the value of nonzero number raised to the power of 0.
    8·2 answers
  • below is a map of trans neighborhood which statements about the locations are true select all that apply brainly
    9·1 answer
  • There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
    14·1 answer
  • They're about 32 girls, 46 boys, and 3 teachers in a classroom. Write the ratio in boys to girls then multiply it by teachers an
    11·2 answers
  • Can someone help me here
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!