MATHEMATICS MIDDLE SCHOOL

2 1/8 converted to an improper fraction

Answers

Answer 1

Answer:

Mixed fraction $2(1)/(8)$ is converted to improper 17/8.

What is Fraction?

A fraction represents a part of a whole.

Fractions are of three types.

Proper, Improper and mixed fractions.

In proper fraction the numerator is less than the denominator.

The improper fraction is a fraction whose numerator is larger than the denominator.

The given mixed fraction $2(1)/(8)$ is converted to improper

2×8+1/8

16+1/8

17/8

Hence, mixed fraction $2(1)/(8)$ is converted to improper 17/8.

To learn more on Fractions click:

brainly.com/question/10354322

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Answer 2

Answer: 17/8 because you would multiple 2 times 8 then add one

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What is 10.261 divided by 3.1

Answers

3.31. You can simply just type this into a calculator.

Just use an calculator but here is the answer 3310

David charges $15 plus $5.50 per hour to mow lawns. Ari charges $12 plus $6.25 per hour to mow lawns. In what situations is Ari's charge greater than or equal to David's charge?

Answers

Let's write an equation for what David charges.
Let x equal the number of hours he has been moving lawns and y be the charge.
Every hour, you must add another $5.50.
This is the same as multiplying the number of hours by 5.50.
We also need to add that $15 at the beginning. This leaves our equation as
$y=5.50x+15$

Now, let's write one for Ari.
6.25 per hour...6.25x.
Add the 12 and we get
$y=12x+6.25$

To find when the two are equal, we can set up this equation:
$5.50x+15=12x+6.25$

Now, let's simplify. Since all of our decimals are either halves or quarters, you can multiply everything by 4 to get rid of them.
$22x+60=48x+25$

Subtract 22x from each side to get x on one side.
$60=26x+25$

Subtract 26 from each side to get x alone.
$35=26x$

Divide by 26 to find the value of x.
$x=35/26\approx1.346$

What does this tell us? Well, it tells us that when our number of hours reaches 1.346, their charges are equal.

(The .346 can be estimated as around 20 minutes because it's pretty close to .333, or a third of an hour. This puts 1.346 hours at an hour and 20 minutes.)

We still haven't answered one part of the question, though...after that 1:20 time frame, who is charging more? Well, let's say we had them mow lawns for two hours. Using 2 for x in those earlier equations gives us these values:

$David:\ y=5.50(2)+15=11+15=26$
$Ari:\ y=6.25(2)+12=13+12=25$

It seems that Ari charges less than David past that 1:20 point.

Since the question asked "when is Ari's charge greater than or equal to David's" we would respond by saying whenever he mows lawns for less than an hour and 20 minutes.

Canada has a population that is about one tenth of a large is the United States and Canada's population is about 32 million about how many people live in the United States explain the number of zeros in your answer

Answers

To keep this simple, I am going to take out the million part of the equation. If 32=1/10 of the US population, then 32x10=the US population. For your answer, 32x10=310.
But don't forget that I took out the million part, so, the US has 310 million people.

To include the 0s, just add 1 0:
32,000,000x10=320,000,000

32 million living in Canada is 1/10 of the population of the US

32 = 1/10 n (Multiply both sides by 10/1 the reciprocal of 1/10)

320 (million) is about the population in the US.

32,000,000 is Canada - when you multiply by 10, add another zero 320,000,000

if 8 is added to twice a number and this sum is multiplied by 3ˏ the result is the number multiplied by 3 and 9 is added to the product.Whats the number?

Answers

$n-a\ number\n\n(8+2n)\cdot3=3n+9\n\n8\cdot3+2n\cdot3=3n+9\n\n24+6n=3n+9\ \ \ \ /-24\n\n24-24+6n=3n+9-24\n\n6n=3n-15\ \ \ \ /-3n\n\n6n-3n=3n-3n-15\n\n3n=-15\ \ \ \ /:3\n\n3n:3=-15:3\n\nn=-5$

The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of their phones decrease in order to have a ratio of 9:11 ?

Answers

Let cost of Emma's phone = x

Given that cost of Sophie's phone = 640

Then ratio of their phones cost will be x:640 or x/640

Given that ratio of their phones cost is 7:8 or 7/8

So both ratios will be equal.

$(x)/(640)=(7)/(8)$

$x=(7)/(8)*640$

x=560

So the new ratio of the cost of their phones will be 560:640

Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.

So let that decreased amount is k then we will get equation :

$(560-k)/(640-k)=(9)/(11)$

11(560-k)=9(640-k)

6160-11k=5760-9k

6160-5760=11k-9k

400=2k

200=k

Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.

There are 15 violinists in the orchestra this year. Next year, two violinists will leave and some new violinists will join the orchestra. If v is the number of violinists who will join the orchestra, which expression(s) represent the number of violinists in the orchestra next year.A 15−2+v15 minus 2 plus v

B 15−v15 minus v

C v−2v minus 2

D 13+v13 plus v

E v−15v minus 15

F v+13

Answers

Answer:

A and D

Step-by-step explanation:

There are already 15. Take away 2 in the next year and also add some (v) in the same year.

13 + v is the simplified version of the original expression (15 - 2 + v)

I hope this helps

Answer:

13+v=x

Step-by-step explanation:

Hope this helps

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