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aliya0001 [1]
2 years ago
14

A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week,

22 shirts were sold and in the third week 29 shirts were sold. The number of shirts sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n?
Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

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Step-by-step explanation:

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6ab + a(a – b – 6b) + 4a(2b +a) – ab , para a= -1 e b=2<br><br><br> ME AJUDEM! É URGENTE
Marianna [84]

Answer:

-81

Step-by-step explanation:

replace the numbers you were given in a or b.

so

6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12

6 0
3 years ago
Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset
dsp73

Answer:

The equation of  line is shown below.

Step-by-step explanation:

The equation of line is

y+1=\frac{-3}{5}(x-4)

It is the point slope form of a line, therefore the slope of the line is \frac{-3}{5} and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

y=\frac{-3}{5}x+\frac{12}{5}-1

y=\frac{-3}{5}x+\frac{12-5}{5}

y=\frac{-3}{5}x+\frac{7}{5}

The point slope form of a line is

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the line is \frac{-3}{5} and the y-intercept of the line is \frac{7}{5}.

Slope is defined as

m=\frac{Rise}{Run}

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is (0,\frac{7}{5}).

(0-5,\frac{7}{5}+3)=(-5,\frac{22}{5})=(-5,4.4)

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

7 0
3 years ago
Can you help me find this answer<br><br>​
IRISSAK [1]

Answer:

a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.

Step-by-step explanation:

for question a, there are 18 girls in the class, this is how i worked it out:

the ratio of boys to girls is 4:3.

there are 24 boys.

24 is 6 times more than 4.

if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.

6x3= 18.

for question b i got 20 boys and 15 girls, this is how i did it.

there are 35 students in total.

4:3= boys to girls.

4+3=7

7 goes into 35 five times.

ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.

answer= 20 boys and 15 girls.

12 oranges is a better deal, this is how i worked it out.

it is 60 for 12 oranges.

it is 48 for 8 oranges.

12x5= 60 , 8x6=48.

you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.

5 0
3 years ago
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