MATHEMATICS MIDDLE SCHOOL

Write the rule for the arithmetic sequence if a7=11 and d=3

Answers

Answer 1

Answer:

The general rule of the progression is an = 3n - 10

Step-by-step explanation:

Given

Type of progression: Arithmetic Progression

a7 = 11

d = 3

Required.

The rule

First, we write out the formula of an arithmetic progression.

This is as follows

an = a + (n - 1)d

The given data is when n = 7.

So, by substituting the values in the formula above, we have

a7 = a + (n - 1)d

11 = a + (7 - 1) * 3

11 = a + 6 * 3

11 = a + 18

Make a the subject of formula

a = 11 - 18

a = -7

Having gotten the value of a, the general rule is gotten by substituting the value of a and d in the formula.

In other words,

an = a + (n - 1)d becomes

an = -7 + (n - 1)3

Open bracket

an = -7 + 3n - 3

Collect like terms

an = -7 -3 + 3n

an = -10 + 3n

Rearrange

an = 3n - 10

Hence, the general rule of the progression is an = 3n - 10

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Denise shaded 26% of a 100-square grid to represent the portion of the cars in the parking lot that were red. Which best describes the portion of all the cars that were red?

Answers

26/100=13/50 hope its right and it helped

Suzanne and Jane made some cookies. They gave 1/3 to their friends, ate 1/4 of the remaining cookies, and froze the rest to eat later. If they ate 9 cookies between the 2 of them, how many cookies did they make altogether? (PLEASE SHOW STEPS!)

Answers

1/3 given away
2/3 left
1/4 of lelft (2/3) eaaten
1/4 times 2/3=2/12=1/6 eaten by them
if 9=eaten by them
9=1/6 of total
times 6/1 both sides
54=total

they made 54 cookies

9 cookies is 1/4 of the remaining cookies, therefore you can multiply by 4 to have 36 cookies, they gave away 1/3 before this, so you then multiply by 3/2 for 54 cookies

What is an equivalent ratio of 5/6

Answers

Answer:

10/12

Step-by-step explanation:

10/12 and 60 /72 they are equivalent

What is the answer to 223÷1

Answers

223. You know this because 223 times 1 is 223
~JZ

There's a calculator on your computer you know

The president of a company creates a graph of the price of the company’s stock over one year. He describes the graph as follows: • The price of the stock rose to about $17 before falling to about $3. • There have only been two periods during which the price of the stock decreased. • The price of the stock is expected to increase in the long run. Which graph correctly shows the price of the stock?

Answers

Answer:

Option D

Just took test on ed2020 it is the last graph. Option D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Mr. Alexander had a negative bank account balance of -$50. He went out to dinner, and spent $23.73. The balance in Mr. Alexander's bank account is now: