The Number Of Ants In A Nest Doubles Every Month. If There Are Now 600 Ants, About How Long Will It Takes For Their Number To Grow To 9600?

The number of ants in a nest doubles every month. If there are now 600 ants, about how long will it takes for their number to grow to 9600?

 

Answer:

4 months

Step-by-step explanation:

Let x be the number of ants and let 2x be the number of ants for the next month.

We are given that it starts with 600 ants and should grow to 9600 ants.

So we can start by doubling the original number of ants.

1 month = 600 x 2 = 1200 ants

2 months = 1200 x 2 = 2400 ants

3 months = 2400 x 2 = 4800 ants

4 months = 4800 x 2 = 9600 ants

Hope it helps!

~~DeanGD20


Comments

Post a Comment

Popular posts from this blog

What Is The Next Number? What Is The 10th Number? 0, 4, 8, 12, 16, ___

What is the next number? What is the 10th number? 0, 4, 8, 12, 16, ___   Arithmetic Sequence Finding for the next number The 10th number of the sequence 0, 4, 8, 12, 16, ____ is 36. Solution: Given the following: a₁ = 0 a₂ = 4 a₃ = 8 a₄ = 12 a₅ = 16     2. Find the difference between the second term and the first term. d = a₂ – a₁ d = 4 – 0 d = 4     3. Using d = 4, find the 10th term. a_n = a₁ + (n - 1) d a₁₀ = 0 + (10 – 1)4 a₁₀ = 0 + (9)4 a₁₀ = 0 + 36 a₁₀ = 36     4. Therefore, the 10th term of the sequence is 36 . Definition:        An arithmetic sequence is a sequence of numbers such that the difference of any two consecutive terms of the sequence is a constant. While an arithmetic series is the sum of the terms of the arithmetic sequence. Code: 10.3.1.1 .1 For more details on arithmetic sequence, got to the following links: brainly.ph/question/554855 brainly.ph/question/825249 brainly.ph/question/211921
Read more

Morena And Pepe Spent Their Vacation Working As A Service Crew In One Of The Fast Food Restaurants. If Their Earning Were In The Ration 7:8 Respective

Morena and Pepe spent their vacation working as a service crew in one of the fast food restaurants. If their earning were in the ration 7:8 respectively, how much had Morena earned when Pepe has earned 6400$   Answer: Morena had earned $5,600. Step-by-step explanation: Ratio of Morenas earnings to Pepes earnings  ⇒  7:8 Pepes earnings ⇒   $6,400 Morenas earnings ⇒ x Proportion equation: 7 : 8 = x : 6,400 Find how Morena had earned, x: 8x = (7)(6,400) 8x/8 = 44,800/8 x = 5,600 Morena earned $5,600.
Read more