A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to $\frac12$. If the original numerator was a 2, what was the original denominator

Answer:

The correct option is;

Choice A 4·(n - 3) - 6·n

Step-by-step explanation:

The given expression is

Which gives;-6·n+(-12)+4·n

- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)

The options given are Choice A and/or Choice B;

(Choice A) 4·(n - 3) - 6·n

Which can be simplified as follows;

4·(n - 3) - 6·n = 4·n - 12 - 6·n

Which gives;

4·n - 12 - 6·n = 4·n  - 6·n- 12 = -2·n - 12 = -(2·n + 12)

Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n

For choice B, we have;

2·(2·n - 6) which gives;

2·(2·n - 6) = 4·n - 12

Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n

Which gives the correct option as Choice A.

4(n-3)-6n

Khan academy I got this right

Answer:

$7.45/hour

Step-by-step explanation:

$0.11/tree

1,356 trees/day

1,356 trees/day * $0.11/tree = $149.16/day

1 day of work = 8 hours

$149.16/day * (1 day of work)/(8 hours) =

= 149.16/8 $/hour

= $18.645 $/hour

Rounded to the nearest cent, he is earning $18.65 $/hour

18.65 - 11.20 = 7.45

Answer: $7.45/hour

Answer:

y=10 ( number of acrobat)

Step-by-step explanation:

let x be the elephant and y the acrobat

elephant has 4 legs and acrobat 2

4x+2y=40

x+y=15  ⇒x=15-y

substitute for x in the equation:

4(15-y)+2y=40

60-4y+2y=40

-2y=40-60

y=-20/-2

y=10 ( number of acrobat)

number of elephant=15-10=5 elephants

[tex](-a+3)(a+4)=-a^2-a+12[/tex].

Hope this helps.

Answer:

-a²-a+12

Step-by-step explanation:

-a²+3a-4a+12

-a²-a+12

Answer: B.) $275

Step-by-step explanation:

Insurance cost :

Housing insurance - - - 50c per $100

Content insurance - - - 25c per $100

House valuation = $50,000

50c = $0.5

Therefore insurance cost on House:

Valuation × insurance cost

($50,000 / $100) * $0.5

$500 × $0.5 = $250

25c = $0.25

Insurance cost on content :

($10,000 / $100) × $0.25

$100 × $0.25 = $25

Total insurance cost :

$250 + $25 = $275

Answer:

9120(b)

Step-by-step explanation:

95×96

(90+5)×(90+6)

(90×90)+(5+6) (90)+(5)(6)

(90) square+(5+6) (90)+(5)(6)

I am using identity 4

=8100+990+30=9120

Answer:

17.

Step-by-step explanation:

5 - 3x, with x = -4.

5 - 3x

= -3x + 5

= -3(-4) + 5

= 12 + 5

= 17.

Hope this helps!

Answer: √3

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)

Replacing with the values given:  

Sin 30 = x /2

Sin 30 (2) = x

x=1

Applying the Pythagorean theorem:

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (2) and a and b are the other sides.  

2^2 = t^2 + 1^2

4= t^2 +1

4-1 = t^2

3 = t^2

√3 = t

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Step-by-step explanation:

Given,

Cost Price ( CP ) = Rs 400

Profit % = 4 %

Selling price ( SP ) = ?

now, Let's find the value of SP:

SP = [tex] \frac{CP \: (100 + \: profit percent \: )}{100} [/tex]

Plug the values

[tex] = \frac{400(100 + 4)}{100} [/tex]

Add the numbers

[tex] = \frac{400 \times 104}{100} [/tex]

Multiply the numbers

[tex] = \frac{41600}{100} [/tex]

Divide

= Rs [tex]416[/tex]

Selling price ( SP ) = Rs 416

Hope this helps...

Best regards!!

Answer: 1/5 , 1/2, and 5/6

Step-by-step explanation:

given;

probability that the cube shows a three (3) or five (5).

probability that it stops on yellow.

1. the probability p of the spinner stopping on yello  

= 1/5 times

a cube has 6 sides

2. probability that it shows a 3

this is going to be 3 divided by the total sides on the cube which is 6

P = ( 3 ) = 3/6

Divide both side by 3

= 1/2.

3. probability that it shows a 5,

this is going to be 5 divided by the total sides on the cube which is 6

P = ( 5 )

  = 5/6.

Answer:

2267676767/1000000000

Step-by-step explanation:

To write 2.267676767 as a fraction you have to write 2.267676767 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.267676767 = 2.267676767/1 = 22.67676767/10 = 226.7676767/100 = 2267.676767/1000 = 22676.76767/10000 = 226767.6767/100000 = 2267676.767/1000000 = 22676767.67/10000000 = 226767676.7/100000000 = 2267676767/1000000000

And finally we have:

2.267676767 as a fraction equals 2267676767/1000000000

Hope it helps.. If yes mark me BRAINLIEST!!

TYSM!

Answer:

2267676767/1000000000

Step-by-step explanation:

when converting a decimal to fraction,

write down the decimal divided by 1 and than add as many zeros as the digits after the decimal point.

since we have nine digits after the decimal point  nine zeros are put after the '1'

Answer:

(-2,-3)

Step-by-step explanation:

abscissa is always know as the x axis

ordinate is known as y axis

therefore

it lies in the fourth quadrant

Answer:

Two figures are similar if they have the same shape:

For example, two rectangles are similar if the quotient between length and wide is the same.

Now, we know that one of the rectangles is 6cm by 4cm.

The quotient of the lengths is 6cm/4cm = 3/2

Here we have a problem; you wrote

" Another rectangle with adjacent

sides o on and x cm ....."

I guess that this means:

The other triangle has one side with a measure of x cm, and the other side will have the lenght A, a constant number that you can complete after.

Now, if this new triangle is similar to the first one, then we must have;

If x > A.

x/A = 6cm/4cm = 3/2

x = (3/2)*A.

if x < A

A/x = 6cm/4cm = 3/2

x = (2/3)*A

There you have the two possible values of x, for a known A.

Answer: C

Step-by-step explanation:

The open dot means its not equal to X and the placement is -14.5

Answer: Annette will take 6 hours to do the entire job alone.

Step-by-step explanation:

Given: Time taken by Kelly to do [tex]\dfrac{1}{5}[/tex] of job = 2 hours

i.e. Time for complete job done alone by Kelly =[tex]5\times2=10\ hours[/tex]

Rest of work = [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job

[tex]\dfrac{4}{5}[/tex]  of the complete job done by both Kelly and Annette in 3 hours

Time would be taken by then to do entire job together = [tex]3\times\dfrac{5}{4}=3.75\ hours[/tex]

Let t be the time taken by Annette to do job alone.

Then, as per situation

[tex]\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6[/tex]

hence, Annette will take 6 hours to do the entire job alone.

Answer:

{-1, 3, 7, 11, 15}

Step-by-step explanation:

we just substitute the set of even numbers in the function f(x) given to get our corresponding set of odds numbers

for 0

2(0)-1=0-1=-1

for 2

2(2)-1=4-1=3

for 4

2(4)-1=8-1=7

for 6

2(6)-1=12-1=11

for 8

2(8)-1=16-1=15

Answer:

Length of the arc = π/50 cm

Step-by-step explanation:

Hello,

The diagram above is a circle and the to find the length of the arc, we need to know the formula for that.

Length of an arc = θ/360 ×2πr

θ = 3π/5

radius (r) = 6cm

Substitute the values into the equation

[(3π/5) / 360] × 2πr

Length of an arc = 3π/5 × ¹/₃₆₀ × 2π(6)

Length of an arc = (3π x 12π) / (5×360)

Length of an arc = 36π/1800

Length of an arc = π/50cm

The length of the arc is π/50cm

Answer:

x+y = 14

Step-by-step explanation:

x+y+xy = 54

1+x+y+xy = 55

(1+x)(1+y) = 55

(1+x)(1+y) = 5*11

If x and y are integers,

1+x = 5    => x = 4

1+y = 11   =>  y = 10

or

1+x = 11   => x = 10

1+y = 5   =>  y = 4

In either case, x+y = 14

The solution to this system is [tex]x = 4[/tex] and [tex]y = 10[/tex]. Then, [tex]x+y = 14[/tex].

Let be [tex]x + y + x\cdot y = 54[/tex], then we proceed to modify the expression by algebraic means:

The only divisors of 55 is 5 and 11, respectively. Hence, we have the following  system of linear equations:

[tex]x + 1 = 5[/tex] (1)

[tex]y + 1 = 11[/tex] (2)

The solution to this system is [tex]x = 4[/tex] and [tex]y = 10[/tex]. Then, [tex]x+y = 14[/tex].

To learn more on integers, we kindly invite to check this verified question: https://brainly.com/question/1768254

easy.This answer is 590

Answer:

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

Step-by-step explanation:

6x² - 2x = 7

6x² - 2x - 7 = 0

Formula

ax² + bx + c = 0

a = 6 ; b = - 2 ; c = - 7

x₁/₂ = [-b ± √(b²- 4ac)]/2a

x₁/₂ = (2 ± √4 + 4×6×-7)/12

x₁/₂ = (2 ± √172)/12

x₁/₂ = (2 ± 2√43)/12

x₁/₂ = 2(1 ± √43)/12

x₁/₂ = (1 ± √43)/6

x₁ = (1 + √43)/6

x₂ = (1 - √43)/6

Answer:

the answer would be

[tex] - 2 + \sqrt{3} [/tex]

but if you want it in decimal form it would be -0.26794919

Answer:

tan 165 =  -0.2679491924

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a probability question and we have to calculate the sample size.

given the sample size S= 30

3 rode a bike

7 drove a car

20 rode bus

The probability of selecting a person that will take a bus is

[tex]Pr(bus)= 20/30= 2/3[/tex]

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

(-34)(x)≤12

Step 1: Simplify both sides of the inequality.

−34x≤12

Step 2: Multiply both sides by 4/(-3).

(4−3)*(−34x)≤(4−3)*(12)

x≥−16

Answer:

x≥−16

IM A MATH GOD

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

Answer:

Option B

Step-by-step explanation:

As shown in the picture, g(x) is the red one which can be obtained by translating f(x) - the blue one toward +x-axis direction 4 units.

=> g(x) = f(x) + 4 = |x| + 4

Answer: Choice D

g(x) = |x-4|

=================================================

Explanation:

Replacing x with x-4 shifts the xy axis four units to the left. If we fix the blue V shape to not move while the xy axis does move, then it gives the illusion of the V shape moving 4 units to the right to end up producing the red curve.

You can use a table of values to compare the two functions or you could use a graphing tool to confirm the answer.

--------

Extra info:

Choice A will move the blue graph 4 units down

Choice B will move the blue graph 4 units up

Choice C will move the blue graph 4 units to the left

Answer:

x = 4.2

Step-by-step explanation:

To calculate for the value of x, we must first calculate the value of y as shown in the attached photo.

The value of y can be obtained as follow:

Angle θ = 30°

Opposite = y

Hypothenus = 6

Sine θ = Opposite /Hypothenus

Sine 30° = y/6

Cross multiply

y = 6 × Sine 30°

y = 3

Therefore, the value of y is 3.

Now, we can obtain the value of x as follow:

Angle θ = 45°

Adjacent = y = 3

Hypothenus = x

Cos θ = Adjacent /Hypothenus

Cos 45° = 3/x

Cross multiply

x × Cos 45° = 3

Divide both side by Cos 45°

x = 3/Cos 45°

x = 4.2

Therefore, the value of x is 4.2

Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

Answer:

-2

Step-by-step explanation:

I got this right in my assignment.

Answer:

0.9

Step-by-step explanation:

This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.

Answer:

59 degrees

Step-by-step explanation:

Sin = opposite / hypotenuse

In this case sin is 6/7

To find the angle of this we need to use the arcsin, or sin^-1 function

Arcsin(6/7) = 58.9972809 degrees

This gets rounded to 59 degrees

What are ya sayin

Step-by-step explanation:

Answer:

10x-3

Step-by-step explanation:

f'(x) means just find the derivative, which can be done via calculator (the more advanced ones, anyway)

Also, I am super late to the question, but...hope it still helps?