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2 years ago

2.50 into a fraction

Mathematics

2 answers:

Ghella [55]2 years ago

8 0

5/2 is the answer to your problem

ELEN [110]2 years ago

5 0

Your answer should be 5/2

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Round 1.961 to the nearest tenth.

I am Lyosha [343]

Answer:

2.0

Step-by-step explanation:

To round 1.961 to the nearest tenth consider the hundredths’ value of 1.961, which is 6 and equal or more than 5. Therefore, the tenths value of 1.961 increases by 1 to 0.

1.961 rounded to the nearest tenth = 2.0

HOPE IT HELPS

6 0

2 years ago

Read 2 more answers

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

 $a_{n} = a_{1} + (n-1)d$

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

2 years ago

suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. How far would the top of the ladder move down the

Taya2010 [7]

You can use the pythagoras theorem.

20^2=5^2+x^2

x^2=400-25
x^2=375

x = 19.36

20-19.36=0.64 feet

The answer is 0.64 feet :)

5 0

2 years ago

Cookies are rejected if they weigh more than 44 g or less than 36 g. How many cookies would you expect to be rejected in a sampl

NISA [10]

Answer:

its 456

Step-by-step explanation:

8 0

2 years ago

For a science experiment Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment,bobby dissolve

Vesnalui [34]

Marcia dissolved 1 kg of salt in 3 litres of water
Bobby dissolved 2 pounds of salt in 7 pints of water
We know that
1 litre = 2.11 pints
We also know that
1 pound = 0.4535 kg
Now if we take the case of Bobby, and convert the pound to kg then
1 pound = 0.4535 kg
2 pounds = (0.4535 * 2) kg
 = 0.907 kg 
 = 0.91 kg
Bobby dissolved the salt in 7 pints of water
We know
2.11 pints = 1 litre
Then
7 pints = (7/2.11) litre
 = 3.32 litres
So we now see that Bobby has dissolved 0.91 kg of salt in 3.32 litres of water
Marcia dissolved 1 kg of salt in 3 litres of water.
So Marcia has made a more concentrated solution since she has dissolved more salt in less amount of water whereas Bobby has dissolved less amount of salt in more water.

7 0

2 years ago