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Ganezh [65]
2 years ago
14

There are 6 shipping boxes that each contain 36 kg of merchandise from a toy store. Before the boxes are loaded onto a delivery

truck, the same amount of additional merchandise is added to each box. The total weight of all of the boxes is 258 kg. How much additional weight was added to each box?
Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer: 7 kg

Step-by-step explanation:

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18 is 60% of what number
LuckyWell [14K]
Let n be the number 18=60% of n
18=0.6n
18/0.6=n
30=n
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a vat of milk has spilled on a tile floor. the milk flow can be expressed with the function r(t) = 4t, where t represents time i
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4t=r
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sub 4t for r
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A. a(t)=16pi(t^2)

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a(4)=16pi4^2
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A. a(t)=16pi(t^2)
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If a circle is 9 pi cm what is the radius of the circle
olganol [36]

Answer:

<h2>          4.5 cm</h2>

Step-by-step explanation:

L = 2×π×r

9π cm = 2πr

9 cm = 2r

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5 0
3 years ago
Please help !!!!!!!!!
atroni [7]

Answer:

Katherine invested $12,000

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interest,

P = principal,

r = rate (as decimal),

t = time (in years).

In your case,

t = 1 year,

r = 0.06 (or 6%)

P + I =$12,720, thus

12,720-P=P\cdot 0.06\cdot 1\\ \\12,720-P=0.06P\\ \\12,720=P+0.06P\\ \\1.06P=12,720\\ \\P=\dfrac{12,720}{1.06}\\ \\P=\$12,000\\ \\I=\$12,720-\$12,000=\$720

6 0
3 years ago
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
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