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Monica [59]
4 years ago
13

Sanna is packing small boxes inside a larger box. The base of the large box is 50 by 75cm and it is 30cm high. The small boxes a

re 5cm by 4cm by 2cm and weigh 10g each. How many small boxes will fit in the large one?
Mathematics
1 answer:
fomenos4 years ago
6 0

Answer:

  2808

Step-by-step explanation:

Sanna can pack 12 layers of 225 small boxes by aligning the 5 cm dimension with the 75 cm dimension (15 boxes) and the 2 cm dimension with the 30 cm dimension (15 boxes).

That will leave an empty space 2 cm by 75 cm by 30 cm. In that space, Sanna can pack an additional 108 boxes by aligning the 4 cm dimension with the 75 cm dimension (18 boxes) and the 5 cm dimension with the 30 cm dimension (6 boxes).

Altogether, Sanna has packed 12 layers of 225 boxes each and 1 layer of 108 boxes, for a total of ...

  12×225 + 108 = 2700 +108 = 2808 . . . small boxes

__

The empty space will have a dimension of 2 cm by 3 cm by 30 cm.

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You start at (3, -3). You move down 1 unit and left 2 units. Where do you end?
Maslowich

Your end position is 1, -4)

<h3>How to determine your end position?</h3>

The start position is given as

Start = (3, -3)

The movement can be represented using the following translation rule

(x, y) = (x - 2, y - 1)

When the above translation rule is applied, we have:

End = (3 - 2, -3 - 1)

Evaluate the difference

End = (1, -4)

Hence, your end position is 1, -4)

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4 0
2 years ago
What is the product of a monomial and a trinomial?
diamong [38]

Let m = monomial


Let t = trinomial


So, m times t = t.


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3 0
4 years ago
Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!
alina1380 [7]

Answer:

w=6, x=7, t=7, n=90, w=15/2

Step-by-step explanation:

a) 5w = 30

30/5 = 6

w=6

b) 3x-5=16

Add 5 to each side.

3x+5=16+5

3x=21

21/3=7

x=7

c) 10-t=17

10-t=17

17-10-7

-t=-7

Negative and a negative is a positive.

t=7

d) n/5 = 18

n=18 * 5

n=90

e.) 4w-12=2w+3

4w=2w+3+12

4w=2w+15

4w−2w=15

2w=15

w= 15/2

4 0
3 years ago
QUESTION AND ANSWER IN IMAGE!
eduard
That would be Graph C

The  solution is where the 2 graphs intersect  At A and B.  
x + y + 2 = 0  transforms to  y = -x - 2 which has slope -1 and  y-intercept of -2
as in Graph C.
8 0
4 years ago
In the class of 40 students,18 passed mathematics,19 passed account,16 passed economics,5 passed mathematics and accounts only ,
Alexus [3.1K]

Answer:

A) 4 students

B) 32.5%

C) 19/40

Step-by-step explanation:

Using set notation to solve the problem with universal set n(U) = 40

Let n(A) be the number of students that pass account

n(E) be the number of students that pass economics

n(M) be the number of students that pass mathematics

n(AUEUM)' be number of students that failed in all the 3 subjects.

n(AUEUM) be number of students that pass in all the 3 subjects.

n(U) = n(AUEUM)+ n(AUEUM)'

Find the remaining solution in the attachment

4 0
3 years ago
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