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chubhunter [2.5K]
3 years ago
11

A student wrote a number pattern such that each number is 3 more that 4 times the previous number. What is the sixth term in the

pattern if the first term is 6?
Mathematics
2 answers:
Serga [27]3 years ago
8 0
1st term = 6
2nd term = 24+ 3
3nd term = 111
4th term = 447
5th term = 1791
6th term = 7167

Is there a simplified formula?
Nesterboy [21]3 years ago
4 0
Start with 1.
1st number = 1
2nd number = 1 * 4 + 3 = 7
3rd number = 7 * 4 + 3 = 31
4th = 31 * 4 + 3 = 127
5th = 127 * 4 + 3 = 511
Which means the 6th = 511 * 4 + 3, which is 2047.
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If 3n=3a-6,which inequality below will make n a positive number?
kicyunya [14]
If 3n=3a-6 than the answer is B
6 0
2 years ago
Part B A sales person earned 1375
Furkat [3]

Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.  

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission  = $575

B) The total sales amount  =  $20000

Step-by-step explanation:

<h3><u>Part A </u></h3>

Given:

Total amount earned =  $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2  = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= \frac{5}{100} \times 5000

= 0.05 \times 5000

= $250 ------------------------------(2)

Finding commission 2:

=  7.5 % of (3000)

=\frac{7.5}{100}\times 3000

= 0.075 \times 3000

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

<h3><u>Part B</u></h3>

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of  5000 + 7.5 % of (x -5000)

1375 = 0.05 \times 5000 + 0.075 \times (x -5000)

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

x = \frac{1500}{0.075}

x = 20000

The total sales amount  is $20000

5 0
3 years ago
What is the correct answer to the equation
zubka84 [21]

Answer:

right answer is 8cm

Step-by-step explanation:

if QM=x

so. Om=32+x

ON=64+16=80

(32+x)/x=80/16

32+x=5x

4x=32

x=8

6 0
2 years ago
Help please Can you clear fractions in an equation by multiplying each side by a common denominator other than the LCD? Give an
Katena32 [7]
Yes   here is an example:_

x/4  +  5/6  =  2

The LCD of 4 and 6 is 12  but we can also multiply through by 24 to clear the fractions:-

x/4 * 24  +  5/6 * 24 = 2 + 24

6x  + 20 = 40

This will give us the same result  if we multiplied through by 12.


7 0
2 years ago
Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If morgan uses 5 po
arlik [135]

First, we need to find the total fraction of her raisins she used:

1/4 + 3/8 = 2/8 + 3/8

She used 5/8 of her supply.

Knowing this:

5/8x = 5

We multiply by 8 (the LCD)

5x = 40

x = 8

Her supply was 8 pounds, and after making the food, she now has 3 pounds


8 0
2 years ago
Read 2 more answers
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