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MakcuM [25]
2 years ago
12

Which list below shows the fractions in order from greatest to least?

Mathematics
1 answer:
NeTakaya2 years ago
8 0

Answer:

Step-by-step explanation:

You might be interested in
Surface Area of Cylinders - Item 1175
mylen [45]

The surface area is 47.1 sq in.

Step-by-step explanation:

Given,

The height (h) of the coin (cylinder shaped) = 5 inches

The radius (r) = 1.5 inches

To find the surface area of the coin.

We need to find the lateral surface area of the coin.

Formula

The surface area of the coin of radius r and height h is 2πrh.

Now,

Putting the value of h and r and π=3.14 we get,

Area = 2×3.14×1.5×5 sq inches

= 47.1 sq in

Hence, the surface area is 47.1 sq in.

5 0
3 years ago
You have $60 and your sister has 120 you are saving $14 per week and your sister is saving $10 per week how long will it be befo
hodyreva [135]

Answer:

15 weeks and you both will have $270

Explanation:

60+14x=120+10x

4x=60

x=15 weeks

amount= 60+14*15= $270

5 0
2 years ago
The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Rudiy27

Answer: The standard error of the mean = 0.5

Step-by-step explanation:

Given : Sample size : n =  144

Standard deviation : \sigma=6\text{ hours}

The formula to find the standard error of the mean is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}

i.e. S.E.=\dfrac{6}{\sqrt{144}}=0.5

Hence, the standard error of the mean =0.5

3 0
3 years ago
Which number produces a rational number when multiplied by 0.5?
nikdorinn [45]
A.
0.5 and 1/3 is rational.
Rational times rational is rational.
7 0
3 years ago
How do you evaluate an algebraic expression?
vodomira [7]

Answer:

  follow the Order of Operations

Step-by-step explanation:

An algebraic expression cannot be <em>evaluated</em> unless all of its variables have been replaced by numerical values. (It can be <em>simplified</em>, but not <em>evaluated</em> if it contains variables.)

A collection of numbers and math symbols is interpreted according to the Order of Operations. This order reflects a precedence of operations that is generally agreed or understood to be applied to algebraic expressions. Operations with the highest precedence are performed first. Operations with equal precedence are generally performed in order, left to right. (There are exceptions.) Parentheses or other grouping symbols are used to modify the order of operations as may be necessary.

__

Here is a description of the most often seen operations in an algebraic expression, in order of precedence (highest to lowest).

1. Parentheses or Brackets -- any expression enclosed in parentheses or brackets is evaluated first. Evaluation is according to the order of operations. That means that if parentheses are nested, expressions in the innermost parentheses are evaluated first.

2. Exponents or Indices -- Expressions with exponents are evaluated next. In this context, roots are fractional exponents. If exponents are nested, they are applied right to left:

  3^2^4 = 3^(2^4) = 3^16 = 43,046,721 . . . for example

Parentheses modify this order, so ...

  (3^2)^4 = 9^4 = 6,561

The exponent is taken to be the first number immediately following the exponentiation symbol, so ...

  9^1/2 = (9^1)/2 = 9/2 = 4.5

Again, parentheses alter this order, so ...

  9^(1/2) = √9 = 3

3. Multiplication and Division -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, division is the same as multiplication by a reciprocal, and multiplication is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

For example, 9*2/3 would be evaluated as (9*2)/3 = 18/3 = 6. However, recognizing that 9 = 3*3, you can rearrange the evaluation to ...

  9/3*2 = 3*2 = 6

This rearrangement is allowed by the properties of multiplication, not by the Order of Operations.

You will also note that 9/3*2 is not the same as 9/(3*2). That is, the denominator in the division is only the first number after the division symbol. This is also true for expressions involving variables:

  b/2a = (b/2)*a

If you want b/(2a), you must use parentheses.

Some authors make a distinction between the slash (/) and the symbol ÷ in their effect on an expression. The Order of Operations makes no such distinction, treating /, ÷, "over", "divided by" as all meaning exactly the same thing.

4. Addition and Subtraction -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, subtraction is the same as addition of an opposite, and addition is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

__

Based on the first letters of these operations, several mnemonic "words" or phrases have been invented to help you remember the order. Some are ...

  PEMDAS

  Please Excuse My Dear Aunt Sally

  BIDMAS

__

There are a number of tricky expressions floating around that test your understanding of the order of operations. Here is one of them:

  10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9

One of the things that makes this tricky is the distinction between ÷ and /, as discussed above. Here, the author of the expression intends for the / to indicate a fraction, so 2÷1/2 is intended to mean 2÷(1/2).

Working this according to the order of operations, we have ...

  = 10 × 4 - 2 × (16 ÷ 4) ÷ 2 ÷ (1/2) + 9 . . . . . exponent inside parentheses

  = 10 × 4 - 2 × 4 ÷ 2 ÷ (1/2) + 9 . . . . . division inside parentheses

  = 40 - 2 × 4 ÷ 2 ÷ (1/2) + 9 . . . . . . first multiplication

  = 40 - 8 ÷ 2 ÷ (1/2) + 9 . . . . . . second multiplication

  = 40 - 4 ÷ (1/2) + 9 . . . . .  first division

  = 40 - 8 + 9 . . . . . . second division

  = 32 . . . . . . first addition

  = 41 . . . . . .  second addition

7 0
2 years ago
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