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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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PLEASE HELP 10 POINTS and please explain -32.48-(14.014)

Ostrovityanka [42]

-32.48-(14.014)

- (32.48 + 14.014)

add 32.48 +14.014 by lining up the decimal

32.48

+ 14.014

------------

46.494

then bring back the negative

-(46.494)

Answer: -46.494

5 0

3 years ago

John's dog weighs 16 lbs, John's dog weighs 3 times as many lbs as Jim's dog. How much does Jim's dog weigh?

alexandr402 [8]

16*3=48
Jim’s dog weighs 48 pounds/lbs

Please mark brainliest :)

6 0

3 years ago

Read 2 more answers

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

dolphi86 [110]

Answer:

Length = 17 inches

Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

${\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 48}}}}$

⠀

${\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}$

⠀

${\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar$

⠀

Therefore,

The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

${\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}$

⠀

Therefore,

The length of the rectangle is 17 inches .

⠀

8 0

2 years ago

Read 2 more answers

2x^2-13x-24 factor the polynomial<br><br> Explain please

vovangra [49]

Answer:

(x - 8)(2x + 3)

Step-by-step explanation:

To factor a polynomial of the form

ax² + bx + c,

follow these steps:

1) Multiply ac together.

2) Find 2 factors of ac that add to b. Call these factors p and q.

3) Break up the middle term of the polynomial into px + qx.

4) Factor by grouping.

Now let's follow the steps above with your problem.

You are given the polynomial

2x² - 13x - 24,

so a = 2, b = -13, and c = -24

1) Find ac.ac is the product 2(-24) = -48

2) Now we need to find 2 factors of -48 that add to b, -13.

I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have

-16 + 3 = -13

and -16 × 3 = -48.

3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.

The polynomial is now

2x² - 16x + 3x - 24

4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.

2x² - 16x + 3x - 24 =

= 2x(x - 8) + 3(x - 8)

We now see the common factor of x - 8, so we factor that out.

= (x - 8)(2x + 3)

Answer: (x - 8)(2x + 3)

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3 years ago

A fair coin is flipped two times. Which diagram shows all of the possible outcomes?

kirza4 [7]

Answer:

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

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2 years ago