MATHEMATICS MIDDLE SCHOOL

Calculate the sum of the infinite series

Answers

Answer 1

Answer:

Answer:

$S_\infty=250$ .

Step-by-step explanation:

The given infinite series is $50+40+32+(128)/(5)+...$ .

The first term of this series is $a_1=50$ .

The common ratio is $r=(40)/(50)$ .

$\Rightarrow r=(4)/(5)$ .

The sum of this infinite series is given by the formula,

$S_\infty=(a_1)/(1-r)$

We now substitute all the above values in to this formula obtain,

$S_\infty=(50)/(1-(4)/(5))$

This implies that,

$S_\infty=(50)/((1)/(5))$

This simplifies to,

$S_\infty=50* 5$

$S_\infty=250$ .

The correct answer is C.

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Please help! Alicia drove at a constant speed and traveled 182.4, point, 4 miles in 3 hours.
How many miles would Alicia travel in 11 hours at the same speed?

Answers

Alicia traveled at a constant speed of 182.4 miles in 3 hours. This is the part that is already given in the question. It is required to find out the distance Alicia would travel in 11 hours
Then
Alicia in 3 hours travels = 182.4 miles
In 11 hours Alicia can travel = (182.4/3) * 11
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668.8 miles.
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Four hundred two million seventy-three thousand one hundred eighty in standard form

Answers

I think its 400,200000,730000,8 if its wrong in so sorry

402,073,180 this is the answer in standard form

If a person bikes 2.4 miles in 10 minutes, how far can he bike in 1.5 hours?

Answers

1.5 hours = 90 minutes
2.4 x 9= 21.6 miles

Start by calculating how many minutes is 1.5 hours.
Then, you need to do a proportion.
$(2.4 miles)/(10 minutes) = (?)/(1.5 hours in minutes)$

If you still can't do it, just comment and I'll explain more :)

What is the GCF of 48 and 80

Answers

8 because 8•6 is 48 and 8•10 is 80 and that's the highest U can go because nothing above 8 multiples to equal 48

Liz records her hamsters weight once every week for onw year.How many observations does she make

Answers

52 because there is 52 weeks in a year and she checks up once every year. So the answer is 52

52
There are 52.143 weeks in a year

What is matter? Use elements in
your answer.

Answers

Answer:

Matter is anything that takes up space. All matter (aka everything) is made up of atoms. The air that we breathe is matter because it is made up of mainly oxygen atoms, but also other atoms as well. The air also takes up what we would call free space. A wooden desk is matter because it takes up space and is made of oxygen, carbon, nitrogen, calcium, and several other elements and atoms.

matter is anything that takes up space for example water (hydrogen2oxygen) takes up space in our bodies and air(oxygen) takes up space in our lungs

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