For exercices 45-50, between which two benchmarks ( Of 0, 1/2,1 1/2) does each fraction fall? Tell which is the nearer benchmark.45. 3/5
46. 1 2/6
47. 12/10
48. 2/18
49. 1 8/10
50. 1 12/15

Answers

Answer 1
Answer: 45. 3/5 is nearer to 1/2
46. 1 2/6 is nearer to 1 1/2. 1 2/6 can be simplified to 1 1/3
47. 12/10 is nearer to 1 1/2. 12/10 can be simplified to 1 2/10 and further simplified to 1 1/5.
48. 2/18 is nearer to 0. 2/18 can be simplified to 1/9 or 0.11
49. 1 8/10 is nearer to 1 1/2. 1 8/10 can be simplified to 1 4/5
50. 1 12/15 is nearer to 1 1/2. 1 12/15 can be simplified to 1 4/5.
Answer 2
Answer: 3/5 is closer to 1/2
1 2/6 is closer to 1 1/2. 1 2/6 is equivalent to 1 1/3
12/10 is closer to 1 1/2. 12/10 is equivalent to 1 1/5.
2/18 is closer to 0. 2/18 can be simplified to 1/9 or 0.11
1 8/10 is closer to 1 1/2. 1 8/10 is equivalent to 1 4/5
1 12/15 is closer to 1 1/2. 1 12/15 is equivalent to 1 4/5
I hope this helps you

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Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr. Deets make ? Is the number of arrays odd or even Explain.

Answers

3 arrays - 1 x 9 (or 9 x 1) and 3 x 3

Hence, the number of arrays = 2 x 2 = 4 = even

First, we pair the different factors of 9.

The different factors of 9 are:

(1, 9) and (3, 3)

For each pair, Mr. Deets can make 2 arrays.

So, the total number of arrays that Mr. Deets can make = 2 x 2 = 4 and hence the number of arrays is even.

Answer:

4 arrays,

Number of arrays is even.

Step-by-step explanation:

∵ The possible pairs of two numbers which give 9 after multiplication,

( 3, 3) and (9, 1),

So, the possible array would be,

3 × 3, 9 × 1

Note : 9 × 1 can also be written as 1 × 9,

According to the question,

For each pair of different factors, there are two arrays,

3 × 3 and 9 × 1 are two arrays with no same factor,

Hence, the total arrays = 2 × 2 = 4

Which is an even number.

There are 16 females and 20 males in a class. What is the theoretical probability that a randomly chosen student is female.

Answers

16+20
=36 students

We know that there are 36 students in total, so now we can calculate the chance the student chosen is female.

16/36
=44.444....% or 4/9

The probability is 44.444....% or 4/9.

Show me how you worked 648 divided by 18

Answers

Step-by-step explanation:

648/18

18/64=3 remaining 10

bring 8 down making 108

108/18=12

3 and 12=312

ans =312

two savings accounts each start with a $200 principal and have interest rate of 5%. One account earns simple interest and the other is compound annually. Which account will earn more interest over 10 years? How much more?

Answers

Formula for Simple Interest: I = PRT 

P = Principal
R = Interest rate per time period in decimal
T = number of time periods

Now you just substitute: 200 x 0.05x 10 = $100 interest

Formula for Compound Interest: A = P(1 + r)^n

A = Final amount to which investment grows 
P = Principal
r= interest rate per period as decimal
n= number of corresponding periods

Substitute: 200(1 + 0.05)^10 = $325.80 (rounded)

Now compare and the compound interest earns more by $225.80

Answer:

Step-by-step explanation:

you would add $220 and 5%

After you get your answer you should get 1185

A white-tailed deer can sprint at speeds up to 30miles per hour . American bison can run at speeds up to 3,520feet per minute. Which animal is faster and by how many per hour ? There are 5,280feet in one mile

Answers

Answer:

The Bison is faster by 10 mph.

In 1 minute, the bison runs 3, 520 feet.

In 60 minutes, the bison would run  3520*60 feet  = 211, 200 feet per hour.

These are equivalent to 40 miles per hour since 1 mile is equivalent to 5, 280 feet. Hope this helps! ^-^

A 56 kg miniature horse weighs 268 fewer kilograms than shetland pony

Answers

let
x--------> Shetland pony's weigh
y--------> M
iniature horse's weigh

we know that
y=56 kg
x=268+y \n x=268+56 \n x=324 kg

the answer is
Shetland pony's weigh is 324 kg
If the mini horse is 56kg and it's 268kg less than a Shetland pony then a Shetland pony would weigh 56+268=324kg