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6x + 5(2x + 7) = 9x + 5 x value in fraction

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6x + 5(2x + 7) = 9x + 5 x value in fraction

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-What is the mole fraction of Nitrogen? A. 0.056 B. 0.167 C. 0.667 D. 0.611 E. 0.733 -What is the mole fraction of carbon dioxide A. 0.056 B. 0.067 C. 0.256 D. 0.667 E. 0.757 -What is the mole fraction of Oxygen? A. 0.167 B. 0.267 C. 0.278 D. 0.467 E. 0.578

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-What is the mole fraction of Nitrogen? A. 0.056 B. 0.167 C. 0.667 D. 0.611 E. 0.733 -What is the mole fraction of carbon dioxide A. 0.056 B. 0.067 C. 0.256 D. 0.667 E. 0.757 -What is the mole fraction of Oxygen? A. 0.167 B. 0.267 C. 0.278 D. 0.467 E. 0.578

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Reduce the fraction to lowest terms. Do not use spaces in your answer.38x^2yz^2/-19xy^2z^3

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Reduce the fraction to lowest terms. Do not use spaces in your answer.38x^2yz^2/-19xy^2z^3

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A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hour?

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Rewrite “2 1/2 miles” as the improper fraction (5/2) miles.
Divide this by (1/6) hour:

5

2

——– (miles/hour)
1

6

To divide by the fraction 1/6, invert it and multiply.  We get 

5                  6
— (miles) * ———— = (30/2) mph = 15 mph
2                  1 hour

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When you stub your toe, you often feel that you have struck your foot a fraction of a second before you feel the pain. this phenomenon is explained by?

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When you stub your toe, you often feel that you have struck your foot a fraction of a second before you feel the pain. this phenomenon is explained by?

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A bag contains 10 marbles: 4 are green, 4 are red, and 2 are blue. Heather chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue? Write your answer as a fraction in simplest form.

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Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       $6,800   $10,500  $8,400    $66,000   $4,700

Pay subject to FICA S.S.         $421.60  $651.00  $520.80 $4092.00 $291.40
6.2%, (First $118,000)

Pay subject to FICA Medicare $98.60 $152.25    $121.80    $957.00    $68.15
1.45% of gross

Pay subject to FUTA Taxes      $40.80  $63.00     $50.40    $396.00  $28.20
0.6%

Pay subject to SUTA Taxes   $367.20  $567.00  $453.60  $3564.00 $253.80
5.4% (First $7000)

Totals                                     $928.20 $1,433.25 $1,146.60 $9,009.00 $641.55

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How would you simply the fraction 4⁄28?

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How would you simply the fraction 4⁄28?

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Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it, and then draws another marble. What is the denominator of the simplified fraction that represents P(red then blue then green)?

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The bag holds
5 pennies
10 nickels
4 dimes
For a total of 5+10+4 = 19 coins

——————————————————

For the first selection, the probability of a nickel is 10/19 because there are 10 nickels out of 19 total coins.

After that first selection is made, I’m assuming the nickel is NOT put back. In other words, there’s no replacement. If this is the case, then we have 19-1 = 18 coins left. There are 4 dimes out of 18 coins giving 4/18 = 2/9 as the probability of getting a dime for the next selection.

Multiply the two fractions: (10/19)*(2/9) = (10*2)/(19*9) = 20/171

So without replacement, the probability of picking a nickel first and then a dime next is the fraction 20/171, which is approximately equal to the decimal value of 0.11696 (rounded to 5 decimal places).

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Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 8 to 30

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Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 8 to 30

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Joe has fraction 5 over 6 pound of bird seed. He needs fraction 1 over 3 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Joe has left? Rectangle model divided into six equal sections, five sections are labeled five-sixths and three sections are labeled one-third, equaling one and two-thirds days.

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Joe has fraction 5 over 6 pound of bird seed. He needs fraction 1 over 3 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Joe has left? Rectangle model divided into six equal sections, five sections are labeled five-sixths and three sections are labeled one-third, equaling one and two-thirds days.

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What is the value of Fraction 1 over 2×3 + 3.4y when x = 4 and y = 2?

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Answer:                

The probability  that both marbles she chooses are blue is frac{2}{15}

Step-by-step explanation:

Given : A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Christine chooses a marble at random, and without putting it back, chooses another one at random.

To find : What is the probability that both marbles she chooses are blue?

Solution :

Total number of marbles = 10

Green marbles = 4

Red marbles = 2

Blue marbles = 4

Probability is favorable outcome upon total number of outcomes.

Probability of getting first marble is blue

text{P(first blue marble)}=frac{4}{10}=frac{2}{5}.

Without replacement,

i.e. Blue marble left = 3

Total marble left = 9


Probability of getting second marble is blue

text{P(second blue marble)}=frac{3}{9}=frac{1}{3}

The probability that both marbles she chooses are blue is

text{P(both blue marble)}=frac{2}{5}timesfrac{1}{3}

text{P(both blue marble)}=frac{2}{15}

Therefore, The probability  that both marbles she chooses are blue is frac{2}{15}

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It is a fraction. it is greater than 0.5 and less than 0.9. its denominator is a square number.its numerator number is a prime number. what could be the mystery number be?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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5inches is what fraction of a foot?

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Answer:                

The probability  that both marbles she chooses are blue is frac{2}{15}

Step-by-step explanation:

Given : A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Christine chooses a marble at random, and without putting it back, chooses another one at random.

To find : What is the probability that both marbles she chooses are blue?

Solution :

Total number of marbles = 10

Green marbles = 4

Red marbles = 2

Blue marbles = 4

Probability is favorable outcome upon total number of outcomes.

Probability of getting first marble is blue

text{P(first blue marble)}=frac{4}{10}=frac{2}{5}.

Without replacement,

i.e. Blue marble left = 3

Total marble left = 9


Probability of getting second marble is blue

text{P(second blue marble)}=frac{3}{9}=frac{1}{3}

The probability that both marbles she chooses are blue is

text{P(both blue marble)}=frac{2}{5}timesfrac{1}{3}

text{P(both blue marble)}=frac{2}{15}

Therefore, The probability  that both marbles she chooses are blue is frac{2}{15}

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Which geometric series represents 0.4444… as a fraction?

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Answer:  The correct option is (B) dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Step-by-step explanation:  We are given to select the correct fraction by which the following be multiplied to produce an equivalent fraction with a rational denominator.

F=dfrac{3}{sqrt{17}-sqrt2}~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

to rationalize the denominator having radical terms, we multiply both numerator and denominator by a common term which contains the opposite sign before the radical term as in the original denominator.

In the given denominator, both terms are radical ones, so we can change the sign of any one of them and then multiply to the denominator and numerator simultaneously.

So, we will multiply both numerator and denominator by the term sqrt{17}+sqrt2.

From (i), we have

F\\=dfrac{3}{sqrt{17}-sqrt2}\\\=dfrac{3(sqrt{17}+sqrt{2})}{(sqrt{17}-sqrt{2})(sqrt{17}+sqrt{2})}\\\=dfrac{3(sqrt{17}+sqrt{2})}{17-2},~~~~~~~~textup{since}~(a+b)(a-b)=a^2-b^2\\\=dfrac{3(sqrt{17}+sqrt{2})}{15}\\=dfrac{sqrt{17}+sqrt{2}}{5}.

Thus, the denominator is rationalized and the required fraction to be multiplied is

dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Option (B) is CORRECT.

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You write 4 different names on index cards. You shuffle the cards and then lay them out in a row. What is the probability that they will come out in alphabetical order? Express your answer as a fraction in simplest form.

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Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       $6,800   $10,500  $8,400    $66,000   $4,700

Pay subject to FICA S.S.         $421.60  $651.00  $520.80 $4092.00 $291.40
6.2%, (First $118,000)

Pay subject to FICA Medicare $98.60 $152.25    $121.80    $957.00    $68.15
1.45% of gross

Pay subject to FUTA Taxes      $40.80  $63.00     $50.40    $396.00  $28.20
0.6%

Pay subject to SUTA Taxes   $367.20  $567.00  $453.60  $3564.00 $253.80
5.4% (First $7000)

Totals                                     $928.20 $1,433.25 $1,146.60 $9,009.00 $641.55

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A bowl contains 80 M&M candies If 15 are orange what fraction of the candies is NOT orange. Answer reduced to lowest terms

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Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       $6,800   $10,500  $8,400    $66,000   $4,700

Pay subject to FICA S.S.         $421.60  $651.00  $520.80 $4092.00 $291.40
6.2%, (First $118,000)

Pay subject to FICA Medicare $98.60 $152.25    $121.80    $957.00    $68.15
1.45% of gross

Pay subject to FUTA Taxes      $40.80  $63.00     $50.40    $396.00  $28.20
0.6%

Pay subject to SUTA Taxes   $367.20  $567.00  $453.60  $3564.00 $253.80
5.4% (First $7000)

Totals                                     $928.20 $1,433.25 $1,146.60 $9,009.00 $641.55

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In italy about 74 of every 100 people use celular telephones. Write the fraction of celular phone users in italy. Then write it as a decimal.

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Answer:  The correct option is (B) dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Step-by-step explanation:  We are given to select the correct fraction by which the following be multiplied to produce an equivalent fraction with a rational denominator.

F=dfrac{3}{sqrt{17}-sqrt2}~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

to rationalize the denominator having radical terms, we multiply both numerator and denominator by a common term which contains the opposite sign before the radical term as in the original denominator.

In the given denominator, both terms are radical ones, so we can change the sign of any one of them and then multiply to the denominator and numerator simultaneously.

So, we will multiply both numerator and denominator by the term sqrt{17}+sqrt2.

From (i), we have

F\\=dfrac{3}{sqrt{17}-sqrt2}\\\=dfrac{3(sqrt{17}+sqrt{2})}{(sqrt{17}-sqrt{2})(sqrt{17}+sqrt{2})}\\\=dfrac{3(sqrt{17}+sqrt{2})}{17-2},~~~~~~~~textup{since}~(a+b)(a-b)=a^2-b^2\\\=dfrac{3(sqrt{17}+sqrt{2})}{15}\\=dfrac{sqrt{17}+sqrt{2}}{5}.

Thus, the denominator is rationalized and the required fraction to be multiplied is

dfrac{sqrt{17}+sqrt{2}}{sqrt{17}+sqrt{2}}.

Option (B) is CORRECT.

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Three cards are drawn with replacement from a standard deck. what is the probability that the first card will be a diamond, the second card will be a black card, and the third card will be an ace? express your answer as a fraction or a decimal number rounded to four decimal places.

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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The sum of the numerator and denominator of a fraction expressed in simplest form is 17. if 3 is added to the numerator, the value of the fraction will be 1. what is the fraction?

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which number is equivalent to the fraction 18/5

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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Expand the fraction 72/125 .so that it has a denominator of 1000.

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Answer:                

The probability  that both marbles she chooses are blue is frac{2}{15}

Step-by-step explanation:

Given : A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Christine chooses a marble at random, and without putting it back, chooses another one at random.

To find : What is the probability that both marbles she chooses are blue?

Solution :

Total number of marbles = 10

Green marbles = 4

Red marbles = 2

Blue marbles = 4

Probability is favorable outcome upon total number of outcomes.

Probability of getting first marble is blue

text{P(first blue marble)}=frac{4}{10}=frac{2}{5}.

Without replacement,

i.e. Blue marble left = 3

Total marble left = 9


Probability of getting second marble is blue

text{P(second blue marble)}=frac{3}{9}=frac{1}{3}

The probability that both marbles she chooses are blue is

text{P(both blue marble)}=frac{2}{5}timesfrac{1}{3}

text{P(both blue marble)}=frac{2}{15}

Therefore, The probability  that both marbles she chooses are blue is frac{2}{15}

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Which fraction has a value greater than 0.4

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Which fraction has a value greater than 0.4

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Which equation does the graph below represent? A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 15 to positive 15 in increments of 3 for each grid line. A line is shown passing through the ordered pairs negative 4, 12 and 0, 0 and 4, negative 12. y = fraction negative 1 over 3x y = −3x y = 3x y = fraction 1 over 3x

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127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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Ken ordered 4/5 of a ton of sand. He wants to recieve 1/3 now and 2/3 later. What fraction of a ton of sand should he recieve now?

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Ken ordered 4/5 of a ton of sand. He wants to recieve 1/3 now and 2/3 later. What fraction of a ton of sand should he recieve now?

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Which sentence conveys statistical evidence? Most American teenagers are influenced by commercials advertising cosmetics. Cosmetics advertisements constitute a significant fraction of all advertisements. Eighty percent of young Americans are influenced by cosmetics advertisements. Most cosmetic products are marketed through prime-time television commercials. NextReset

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Well; You have the classics

1984, you might have been asked to read this one already in school, if not I suggest going ahead and reading it; its fun to be ahead of your class. 

Originally published in 1949 by George Orwell, 1984 depicts a dystopian world of the ‘future’. The book is less of a prediction more then it is a warning of what could be. It follows one character who is desperately trying to remember what real life is like, and gets tangled up in all sorts of messes along the way.

You could read Alice in Wonderland or Mary Poppins, theres a million great classics out there Im sure you can find on any website. 

Personally I prefer fantasy novels; 

Brandon Sanderson’s The Rithmatist 
This book follows a young student through a steampunk style, magic infused world. It takes a moment to not chuckle at the concept of monsters that are essentially drawings, but its a very well done book with beautiful writing and mental scenery 

Patrick Rothfuss’s, The Name of the Wind 
This is my favorite book of all time. Patrick Rothfuss’s work is honestly amazing in this book. Mind you its probably not all that wise for the feint of heart through perhaps the second chapter; but it really is amazing. The sculpting of the world, the depth of the characters its utterly masterful. The story opens with Kote, a fairly normal seeming innkeeper and his dark haired companion Bast. Fairly normal until a man happens upon the inn, looking for a certain Kvothe, a man thought to just be a legend and a story… and Kote’s past is drug up, and other things that should probably be better left alone.

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