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3 years ago

What is 33.5 % as a Decimal and a fraction?

Mathematics

2 answers:

Pie3 years ago

7 0

Answer:

Decimal: 0.035

Fraction: 67/200

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over

100

. Percentage means 'out of

100

33.5

100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is

number to the right of the decimal point, move the decimal point

place to the right.

335

1000

Reduce the expression by cancelling the common factors.

Tap for more steps...

200

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.335

Stolb23 [73]3 years ago

5 0

$p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}$

$Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}$

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Select the relations that are functions.

Arlecino [84]

Answer:

Depending on how the input of each function defined,

The first choice $\left\lbrace(a, 1),\, (6, 1), \, (C, 1)\right\rbrace$ ,
The third choice $\left\lbrace(1, a),\, (2, a), \, (3, a)\right\rbrace$
The fourth choice $\left\lbrace(a, a),\, (b, b), \, (c, c)\right\rbrace$

might be functions.

Step-by-step explanation:

A function between two sets (domain and range) should

be defined for all elements in the domain, and
map each element from the domain to exactly one element in the range.

The second choice can't be a function since the element $a$ from the domain is mapped to more than one element in the range.

Keep in mind that a function should be defined for all elements in its domain. For the first relation to be a function, its domain needs to be $\lbrace a,\, 6, \, C\rbrace$ . Similarly, the domain for the third and fourth relations should be $\lbrace 1,\, 2, \, 3\rbrace$ and $\lbrace a,\, b, \, c\rbrace$

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3 years ago

Which of the following equations is equivalent to 3x + 4y =15

slavikrds [6]

Answer:

x= −4 /3 y+5

Step-by-step explanation:

5 0

3 years ago

Which equation below represents a rate of change of -3?

Amanda [17]

The answer is C

Is shows a change of rate for the integer

Hope this helps

6 0

3 years ago

Expand the binomial (2x+5)^5

Whitepunk [10]

That would simplify to 32x^5+400x^4+200x^3+5000x^2+6250x+3125
You would do that because you have to write it repeatedly as (2x+5)(2x+5) and so on.

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3 years ago

If RSTU is a rhombus, find the measure of angle RUT.

Schach [20]

Finding x:

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19 [replacing the given values of the angles]

7x - 23 = 19 [subtracting 3x from both sides]

7x = 42 [adding 23 on both sides]

x = 6 [dividing both sides by 7]

Finding ∠RUT:

We can see that:

∠RUT = ∠RUS + ∠TUS

Since we are given the values of ∠RUS and ∠TUS:

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

We know that x = 6:

∠RUT = 13(6)- 4

∠RUT = 74°

8 0

3 years ago