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Elan Coil [88]
2 years ago
13

4). Machine “B” can pack 11 boxes per minute. The factory receives an

Mathematics
1 answer:
Elena L [17]2 years ago
6 0

Answer:

Amount of time would be greater than 95 minutes

Step-by-step explanation:

We are told that machine B can pack 11 boxes per minute.

Thus, this is 11x where x represents number of minutes.

We are told that the factory revives an order of over 1100 boxes and that it had already packed 55.

Thus,the inequality equation is;

11x + 55 > 1100

Solving this;

11x > 1100 - 55

11x > 1045

x > 1045/11

x > 95 minutes

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The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?
bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

a_{n}=a_{n-1}+9a_{1}-21----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

                                 =a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}                                            

Equation 1 can be written as,

a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21

General rule or explicit rule for this sequence is given as:

a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)

6 0
3 years ago
ranslate the sentence into an equation using n as the unknown number. Then solve the equation for n. Two times a number increase
joja [24]
Hi there!

Let's break this down:
Two times a number = 2n
Increased by 5 = + 5
is 15 - = 15

Total equation:
2n + 5 = 15

Solving:
2n + 5 = 15
2n = 10
n = 5

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
4 0
3 years ago
The temperature Rose 4 degrees each hour for 3 hours what was the total change in the temperature?
ozzi

12 degrees change in temp.


4 0
3 years ago
Apply the distributive property to factor out the greatest common factor.
Sauron [17]

Answer:

\large\boxed{25p+50q=25(p+2q)}

Step-by-step explanation:

\text{The distributive property}\\\\a(b+c)=ab+ac\\\\25p=\boxed5\cdot\boxed5\cdot p\\\\50q=2\cdot\boxed5\cdot\boxed5\cdot q\\\\GCF(25p,\ 50q)=\boxed5\cdot\boxed5=25\\\\25p+50q=25\cdot p+25\cdot2q=25(p+2q)

3 0
3 years ago
I meed help with this problem pls
Cerrena [4.2K]
Hey, I believe the answer to the question is A.
7 0
3 years ago
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