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Rashid [163]
3 years ago
9

The number of girls in the Middle School Cyber Club was 6 more than double the number of boys, and in total there were 48 middle

school students in the Cyber Club.
Mathematics
1 answer:
Wittaler [7]3 years ago
5 0

Answer:

g = number of girls;

b= number of boys

we know that: g= 6+2b

     and that: g+b= 156 kids in total

so we may write  g+b=(6+2b)+b=6+3b

                 but g+b= 156

so 6+3b = 156 => 3b= 156-6=150 =>   b=150/3=50 => b = 50 (number of boys)

g= 6+2b= 6+2 x 50= 106 => g =106 (number of girls)  

Step-by-step explanation:

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
How much money does Carl earn per hour? Show your work. You will not receive full credit for a
Komok [63]
  • From the table showing in the diagram, Let's pick the data in the first row:

Time = 3 hours

Money earned = $45

  • The amount of money Carl earns per hour is calculated as:

3 hours = $45

1 hour = ?

Cross Multiply

1 hour x $45 / 3 hours

= $15

  • Let's confirm our answer using the data in the last column

Time = 10 hours

Money earned = $150

The amount of money Carl earns per hour is calculated as:

10 hours = $150

1 hour = ?

Cross Multiply

1 hour x $150 / 10 hours

= $15

Therefore, the amount of money Carl earns per hour is $15

To learn more, visit the link below:

brainly.com/question/1004906

3 0
2 years ago
A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of cases was increasing by abo
DaniilM [7]

Answer: The required exponential model is 1804(1.04)^t

Step-by-step explanation:

Since we have given that

Initial cases = 1804

Rate of growth = 4%

Since it is increasing exponentially,

So, it becomes,

A=ab^t

Here, a = 1804

b = 1+r=1+0.04=1.04

So, it becomes,

A=1804(1.04)^t

Hence, the required exponential model is 1804(1.04)^t

6 0
3 years ago
Write each of the following sets of numbers in order of size, smallest first.
34kurt

Answer:0.09 < 0.6 < 0.7 < 0.8 < 0.99 < 1

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP FIRST WILL BE MARKED BRAILEST RECIVE A THANKS AND 5 STAR ALSO WILL RECIVE 9 POINTS!!!!!! What is the best estimate f
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3.9 = 4
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Hopefully this is what you mean :)
5 0
3 years ago
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