# Posts by Bosnian

Total # Posts: 2,536

**algebra**

0.15151515... = 15 / 100 + 15 / 10000 + 15 / 1000000 + 15 / 100000000 + ... = 15 / 100 + 15 / 100 ^ 2 + 15 / 100 ^ 3 + 15 / 100 ^ 4 + ... This is the geometric series : a + a r + a r ^ 2 + a r ^ 3 + a r ^ 4 + ... with a = 15 / 100 and r = 1 / 100 As n goes to infinity the sum ...

**Integration need help also**

In google type : integration calculator online emathhelp when you see list of results click on : Integral Calculator with Steps - eMathHelp When page be open In rectangle type : sinx^2.xdx then clic button CALCULATE You will se solution step - by -step

**Prove that sin(A+B) need help**

In google type : Prove that sin(A+B) When you see list of results click on : Proof of the sum and difference formulas. - The Math Page You will see proof.

**stats**

x1 = 77 x2 = 79 x3 = 95 x4 = 93 averagge of five exam: ( x1 + x2 + x3 + x4 + x5 ) / 5 = 80 ( 77 + 79 + 95 + 93 + x5 ) / 5 = 80 ( 344 + x5 ) / 5 = 80 Multiply both sides by 5 344 + x5 = 80 * 5 344 + x5 = 400 Subtract 344 to both sides x5 = 400 - 344 = 56 Answer: Greater or ...

**Math**

OR if you write : x = number of pencils y = number of pens then x + 1.5 y = 21 x + y = 18

**Math**

x = number of pens y = number of pencils She bought a total of 18 items. x + y = 18 Stella spent 21 $ 1.5$ * x + 1 $ * y = 21 & 1.5 x + 1 * y = 21 1.5 x + y = 21 You must solve system : x + y = 18 1.5 x + y = 21 The solutions aree . x = 6 y = 12 Proof : 6 * 1.5 $ + 12 * 1 $ = ...

**math**

68.9 ft rounded to one decimal place

**math**

1 ft = 12 in 6 ft 4 in = 6 * 12 + 4 = 72 + 4 = 76 in 1 in = 2.54 cm = 2.54 / 100 = 0.0254 m Tall of the basketball player in meters : 76 * 0.0254 = 1.9304 m Tall of the volleyball player in feet : 1.75 / 0.0254 = 68.89763778 ft = 68.9 in rounded to one decimal place

**Algebra**

Tonys age = x Maris age = y Maria is 5 years younger. y = x - 5

**Algebra 2**

( x - y ) ^ 2 = x ^ 2 - 2 x y + y ^ 2 ( b - 8 ) ^ 2 = b ^ 2 - 2 b * 8 + 8 ^ 2 = b ^ 2 - 16 b + 64

**Algebra 2**

Multiply each term in one polynomial by each term in the other polynomial. ( 4 x + 2 y ) ( x - 3 y ) = x * 4 x + x * 2 y - 3 y * 4 x - 3 y * 2 y = 4 x ^ 2 + 2 x y - 12 x y - 6 y ^ 2 = 4 x ^ 2 - 10 x y - 6 y ^ 2

**Math**

7 pizza’s cut into 8 slices. Total 7 * 8 = 56 slices 56 slices / 14 = 4 slices 4 slices of 8 slices in one pizza = 4 / 8 = 1 / 2 OR 7 pizza per 14 students = 7 / 14 = 1 / 2

**math**

P = Pramod age S = Sister age Difference of their age now = 15 yr So : P = S - 15 After 5 years Pramod will be 5 years older, and sister will be 5 years older. Ratio of their age will be : ( P + 5 ) / ( S + 5 ) = 1 / 2 P = S - 15 so : ( S - 15 + 5) / ( S + 5 ) = 1 / 2 ( S - 10...

**math**

35 h * 1 / 5 = 7 h 35 h * 1 / 2 = 17.5 h 35 h * 1 / 7 = 5 h 7 h + 17.5 h + 5 h = 29.5 h The rest of his time = 35 - 29.5 = 5.5 h 5.5 / 35 = 0.15714 = 15 .714 % Approx. 15 %

**Pre Algrebra**

SORRY MY MISTAKE!!!!!! 1 / 5 ^ - 4 = 1 / ( 1 / 5 ) ^ 4 = 5 ^ 4 = 5 * 5 * 5 * 1 / m * 1 / m * 1 / m * 1 / m + 5 * 5 * 5 * 5 ANSWER A

**Pre Algrebra**

m ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m 1 / 5 ^ - 4 = 1 / 5 * 1 / 5 * 1 / 5 * 1 5 m ^ - 4 + 1 / 5 ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m + 1 / 5 * 1 / 5 * 1 / 5 * 1 5 Answer d

**Algebra**

a = number of adult tickets b = number of children tickets There were 170 tickets sold in 1 day. This mean : a + c = 170 Subtract c to both sides a + c - c = 170 - c a = 170 - c Money made = 1475 $ 1475 $ = a * 10 $ + c * 7 $ 1475 = 10 a + 7 c 10 a + 7 c = 1475 10 ( 170 - c...

**Algebra**

z = ( x - 8 ) / ( 2 x ) Multiply both sides by 2 x z * 2 x = x - 8 Subtract x to both sides z * 2 x - x = - 8 x * ( 2 z - 1 = - 8 Divide both sides b 2 z - 1 x = - 8 / ( 2 z - 1 ) By the way : - 8 / ( 2 z - 1 ) = 8 / ( 1 - 2 z ) So : x = - 8 / ( 2 z - 1 ) = 8 / ( 1 - 2 z )

**Math**

Paste your question in google. You will find couple explanations.

**Intermediate Algebra (math)**

( 8 x ^ 2 y ^ 2 + 4 x y ^ 2 - 12 y ^ 2 ) / ( 4 x y ^ 2 ) = 4 y ^ 2 ( 2 x ^ 2 + x - 3 ) / ( 4 x y ^ 2 ) = ( 2 x ^ 2 + x - 3 ) / x

**algebra**

( 5 t - 6 c + 4 )+(- 8 t + 9 c ) = 5 t - 6 c + 4 - 8 t + 9 c = 5 t - 8 t - 6 c + 9 c + 4 = - 3 t + 3 c + 4 = 3 c - 3 t + 4 = 3 ( c - t ) + 4

**Maths**

R = Roberts age C = Catherine age The ratio of their age now : R / C = 3 Multiply both sides by C R * C / C = 3 C R = 3 C The ratio of their age after 8 years : ( R + 8 ) / ( C + 8 ) = 2 / 1 = 2 ( 3 C + 8 ) / ( C + 8 ) = 2 Multiply both sides by C + 8 ( 3 C + 8 ) * ( C + 8...

**algebra**

r1 = radius of a larger sphere r2 = radius of a smaller sphere Volume of a sphere is given by the formula : V = ( 4 / 3 ) pi * r ^ 3 Vollume of a larger sphere : V1 = ( 4 / 3 ) pi * r1 ^ 3 = ( 4 / 3 ) pi * ( 3 / 4 ) ^ 3 = Vollume of a smaller sphere : V2 = ( 4 / 3 ) pi * r2 ^ ...

**MATHS - please help**

- 3 / 5 ( x - 1 ) + y + 4 = 0 Multiply both sides by 5 - 3 x + 5 y + 20 = 0

**MATHS - please help**

Sorry c = 4

**MATHS - please help**

y + 4 = 3 / 5 ( x - 1 ) Subtract 3 / 5 ( x - 1 ) y + 4 - 3 / 5 ( x - 1 ) = 3 / 5 ( x - 1 ) - 3 / 5 ( x - 1 ) y + 4 - 3 / 5 ( x - 1 ) = 0 - 3 / 5 ( x - 1 ) + y + 4 = 0 a = - 3 / 5 b = 1 c = 47

**Algebra**

a ^ 2 + b ^ 2 = a ^ 2 + 2 a * b + b ^ 2 2 a * b = a ^ 2 + b ^ 2 2 a * b = a ^ 2 + 2 a * b + b ^ 2 Subtract 2 a * b to both sides 2 a * b - 2 a * b = a ^ 2 + 2 a * b + b ^ 2 - 2 a * b 0 = a ^ 2 + b ^ 2 Subtract a ^ 2 to both sides 0 - a ^ 2 = a ^ 2 + b ^ 2 -a ^ 2 - a ^ 2 = b ^ ...

**Math**

Your answer is correct.

**Math**

1 . a = first number b = second number The large one is 9 times the other. This mean : b = 9 a a * b = 15876 a * 9 a = 15876 9 a ^ 2 = 15876 Divide both sides by 9 a ^ 2 = 15876 / 9 a ^ 2 = 1764 a = sqroot ( 1764 ) a = 42 b = 9 a = 9 * 42 = 3789 2. a = first number b = second ...

**Math**

0.57 = 0.57 * 100 / 100 = 57 / 100

**Math**

Divide the numerator by the denominator.

**math**

After taking three tests average = 84 This mean a student in three test scored 3 * 84 = 252 pt average = 252 / 3 = 84 After four test a student average = ( 252 + 96 ) / 4 = 348 / 4 = 87 Answer C

**Algebra**

5 ( a - 7 ) + 7 = 2 ( a - 5 ) 5 * a - 5 * 7 + 7 = 2 * a - 2 * 5 5 a - 35 + 7 = 2 a - 10 5 a - 28 = 2 a - 10 Subtract 2 a to both sides 5 a - 28 - 2 a = 2 a - 10 - 2 a 3 a - 28 = - 10 Add 28 to both sides 3 a - 28 + 28 = - 10 + 28 3 a = 18 Divide both sides by 3 3 a / 3 = 18 / ...

**MATH**

If the sum of the n term = 225 your question does not make sense. It can not be solved. But if the sum of the n term = 255 then : In geometric sequence : The nth term is : an = a1 * r ^ ( n - 1 ) Where a1 is the first term of the sequence. r is the common ratio. n is the ...

**Math**

A) 7 2 / 9 = 7 + 2 / 9 = 7 * 9 / 9 + 2 / 9 = 63 / 9 + 2 / 9 = 65 / 9 ( 6 / 5 ) * ( 65 / 9 ) = 6 * 65 / ( 5 * 9 ) = 2 * 3 * 5 * 13 / ( 5 * 3 * 3 ) = 2 * 13 / 3 = 26 / 3 B) 6 2 / 7 = 6 + 2 / 7 = 6 * 7 / 7 + 2 / 7 = 42 / 7 + 2 / 7 = 44 / 7 2 * 44 / 7 = 88 / 7

**mathematics**

Volume of a sphere : V = ( 4 \ 3 ) * pi * r ^ 3 Radius increased by 5% New radius : rN = r + ( 5 / 100 ) * r = r + 0.05 * r = 1.05 * r rN = 1.05 * r New volume of a sphere : VN = { 4 \ 3 ) * pi * rN ^ 3 = { 4 \ 3 ) * pi * ( 1.05 r ) ^ 3 = { 4 \ 3 ) * pi * ( 1.05 ) ^ 3 * r ^ 3...

**Math**

taxexs = 4,550 / 35,000 = 0.13 = 13 % 35,000 + 4,000 = 39,000 39,000 * 0.13 = 5,070 5,070 - 4,550 = 520 $ OR 4,550 / 35,000 = x / ( 35,000 + 4000 ) 4,550 / 35,000 = x / 39,000 4,550 * 39,000 = x * 35,000 x = 4,550 * 39,000 / 35,000 x = 177,450,000 / 35,000 x = 5,070 $ 5,070 - ...

**algebra**

( - a - 6 b + 4 ) 3 a b = ( - a ) * 3 a b - 6 b * 3 a b + 4 * 3 a b = - 3 a ^ 2 * b - 18 a * b ^ 2 + 12 ab

**Math**

In google type : Multiplying and dividing decimals, multiply two or more decimals. When you see list of results click on : w w w . m o n t e r e y i n s t i t u t e . o r g

**math**

b = numer of boys g = number of girls There are 5 more girls than boys. g = b + 5 b + g = 49 b + b + 5 = 49 2 b + 5 = 49 Suptract 5 to both sides 2 b + 5 - 5 = 49 - 5 2 b = 44 Divide both sides by 2 2 b / 2 = 44 / 2 b = 22

**math**

b = numer of boys g = number of girls There are 15 more girls than boys. g = b + 15 b + g = 323 b + b + 15 = 323 2 b + 15 = 323 Subtract 15 to both sides 2 b + 15 - 15 = 323 - 15 2 b = 308 Divide both sides by 2 2 b / 2 = 308 / 2 b = 154

**Algebra**

Both answers is correct but you can simplify answer 1. sqrt ( 280 x ^ 6 ) / sqrt ( 7 x ) = sqrt ( 280 x ^ 6 / 7 x ) = sqrt [ ( 280 / 7 ) * x ^ 6 / x ] = sqrt ( 40 * x ^ 5 ) = sqrt ( 40 ) * sqrt ( x ^ 5 ) = sqrt ( 4 * 10 ) * sqrt ( x ^ 5 ) = sqrt ( 4 ) * sqrt ( 10 ) * sqrt ( x...

**math**

She is used: 350 ft - 110 ft = 240 ft of fence Perimeter of a square : P = 4 a 4 a = 240 ft Divide both sides by 4 a = 60 ft

**maths**

sqrt ( 2 ) isnt root of a cubic polynomial 6 x ^ 3 + 2 x ^ 2 - 10 x - 4 sqrt ( 2 )

**math**

In google type: integral calculator with steps When you see list of results click on: Integral Calculator with Steps - eMathHelp When page be open in rectangle: Enter a function type: x^3/(x^2+1)^(1/2) Remark: You must type function exactly in this form with brackets at (1/2) ...

**math arithmetic sequence and series**

If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence (an is given by: an = a1 + ( n - 1 ) * d This sum : S = n * [ 2 a1 + ( n - 1 ) * d ] / 2 In this case : a1 = 30 d = 3 n = 15 S = n...

**Maths**

59 * 59 - 41 * 41 = 3481 - 1681 = 1800 = 2 * 900 = 2 * 2 * 450 = 2 * 2 * 2 * 225 = 2 * 2 * 2 * 3 * 75 = 2 * 2 * 2 * 3 * 3 * 25 = 2 * 2 * 2 * 3 * 3 * 5 * 5 = 2 ^ 3 * 3 ^ 2 * 5 ^ 2

**algebra**

In google type : mathportal roots calculator When you see list of result click on : Online Polynomial Roots Calculator with explanation When page be open in rectangle type : x^4 + 2 x^3 - 13 x^2 + 4 x - 30 and cick option : Find Roots You will see solution step by step

**quadratic functions**

How can you predict the number of x-intercepts without drawing the graph. Discriminant = b ^ 2 - 4 a c If the discriminant is positive, then there are two distinct roots ( x - intercepts ). If the discriminant is zero, then there is exactly one real root x - intercept ). If ...

**quadratic functions**

- a x ^ 2 - b x - c = - ( a x ^ 2 + b x + c ) Quadratic function can be concave up or concave down. If a x ^ 2 + b x + c concave up or concave down graph of - a x ^ 2 - b x - c will be concave down or concave up. The graph is rotated 180 ° around the x - axis, but x-...

**Calculus**

Copy your question in google. When you see list of results click on : e n . a l l e x p e r t s . c o m You will see answer.

**Math**

( m ^ 2 - m + 3 ) + ( m - 1 ) = m ^ 2 - m + 3 + m - 1 = m ^ 2 - m + m + 3 - 1 = m ^ 2 + 2 ( m ^ 2 - m + 3 ) - ( m - 1 ) = m ^ 2 - m + 3 - m - ( - 1 ) = m ^ 2 - m - m + 3 + 1 = m ^ 2 - 2 m + 4

**mat/116**

x = score of second test average = ( 74 + x ) / 2 78 = ( 74 + x ) / 2 Multiply both sides by 2 156 = 74 + x Subtract 74 to both sides 156 - 74 = 74 + x - 74 82 = x x = 82 average = ( 74 + x ) / 2 = ( 74 + 82 ) / 2 = 156 / 2 = 78

**math**

Answer B

**math**

8 * 10 ^ 3 * 7 * 10 ^ 5 = 8 * 7 * 10 ^ 3 * 10 ^ 5 = 56 * 10 ^ 8 = 5.6 * 10 * 10 ^ 8 = 5.6 * 10 ^ 9 ________________________________ Remark: a ^ n * a ^ m = a ^ ( m + n ) 10 ^ 3 * 10 ^ 5 = 10 ^ ( 3 + 5 ) = 10 ^ 8 10 = 10 ^ 1 10 * 10 ^ 8 = 10 ^ 1 * 10 ^ 8 = 10 ^ ( 1 + 8 ) = 10...

**prealgebra**

5 / 45 = 5 / ( 5 * 9 ) = 1 / 9

**Math**

an = a1 + ( n - 1 ) * d an = 4.6 + ( n - 1 ) * 3.2

**Math**

In arithmetic sequence : an = a1 + ( n - 1 ) * d d is the common difference n is the number of the term to find a6 = a1 + ( 6 - 1 ) * d = 20.6 a1 + 5 d = 20.6 a9 = a1 + ( 9 - 1 ) * d = 30.2 a1 + 8 d = 30.2 Now you must solve system of two equations with two unknown : a1 + 5 d...

**Math**

- 16 t ^ 2 + 200 = 0 Subtract 200 to toth sides - 16 t ^ 2 + 200 - 200 = 0 - 200 - 16 t ^ 2 = - 200 Divide both sides by - 16 - 16 t ^ 2 / - 16 = - 200 / - 16 t ^ 2 = - 200 / -16 t ^ 2 = 200 / 16 t ^ 2 = 4 * 50 / ( 4 * 4 ) t ^ 2 = 50 / 4 t ^ 2 = 2 * 25 / ( 2 * 2 ) t ^ 2 = 25...

**Math**

4 sin ( theta ) + 1 = 2 sin ( theta ) Subtract 2 sin ( theta to both sides ) 4 sin ( theta ) + 1 - 2 sin ( theta ) = 2 sin ( theta ) - 2 sin ( theta ) 2 sin ( theta ) + 1 = 0 Subtract 1 to both sides 2 sin ( theta ) + 1 - 1 = 0 - 1 2 sin ( theta ) = - 1 Divide both sides by 2 ...

**Maths**

a = the length of the larger square b = the length of the smaller square a ^ 2 + b ^ 2 = 65 Possible combinations : a = 1 , b = 8 , a ^ 2 + b ^ 1 = 1 ^ 2 + 8 ^ 2 = 1 + 64 = 65 But the length of the smaller square is greater of the length of the larger square. You must reject ...

**math**

m = number of male lions f = number of female lions m / f = 21 / 20 Multiply both sides by 20 20 m / f = 21 * 20 / 20 20 m / f = 21 Multiply both sides by f 20 m * f / f = 21 * f 20 m = 21 f Divide both sides by 20 20 m / 20 = 21 f / 20 m = 21 f / 20 m + f = 123 ...

**math**

L = 2 W + 3 A = L * W = ( 2 W + 3 ) * W = 2 W ^ 2 + 3 W A = 2 W ^ 2 + 3 W 54 = 2 W ^ 2 + 3 W Subtract 54 to both sides 54 - 54 = 2 W ^ 2 + 3 W - 54 0 = 2 W ^ 2 + 3 W - 54 2 W ^ 2 + 3 W - 54 = 0 The solutions are : W = - 6 and W = 9 / 2 Width can't be negative so : W = 9 / ...

**math**

2 x ^ 2 ( 5 x ^ 2 - 1 x - 4 ) = ( 2 x ^ 2 * 5 x ^ 2 ) - ( 2 x ^ 2 * 1 x ) - ( 2 x ^ 2 * 4 ) = 10 x ^ 4 - 2 x ^ 3 - 8 x ^ 2

**(Algebra) need help plz**

Straight-line equations is the "slope-intercept" form: y = m * x + b x = - 1 , y = - 2 y = m * x + b - 2 = m * ( - 1 ) + b - 2 = - m + b Add 2 to both sides - 2 + 2 = - m + b + 2 0 = - m + b + 2 Add m to both sides 0 + m = - m + b + 2 + m m = b + 2 x = 0 , y = 1 y = ...

**math**

Watch x and y values : x = - 2 , y = - 4 , y = 2 x x = 0 , y = 0 , y = 2 x x = 2 , y = 4 , y = 2 x x = 4 , y = 8 , y = 2 x y = 2 x

**math**

p = $100 + $0.2 * kilometers Answer C.

**Math**

10 = 2 * 5 20 = 2 * 10 40 = 2 * 20 I geometric sequence : an = a1 * r ^ ( n - 1 ) where a1 is the first term of the sequence. r is the common ratio. n is the number of the term to find In this case : a1 = 5 r = 2 an = a1 * r ^ ( n - 1 ) an = 5 * 2 ^ ( n - 1 )

**Calculus**

In google type : Shortest Ladder over a Fence When you see list of results click on: Shortest Ladder over a Fence - Mathematics Archives You will see solution.

**math**

Prime factors decomposition: 4312440 = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 5 * 11 * 11 * 11 Divisors are 2 , 3 , 5 , 11 4 divisors.

**Algebra 1**

2 x - y = z Add y to both sides 2 x - y + y = z + y 2 x = z + y Subtract z to both sides 2 x - z = z + y - z 2 x - z = y y = 2 x - z

**Math**

3,000 cm Becouse 1 m = 100 cm 3,000 cm = 3,000 / 100 = 30 m

**math**

Completely fill the 7 gallon bucket. Pour the water from 7 gallon bucket into 12 gallon bucket. Again completely fill the 7 gallon bucket. Pour the water from 7 gallon bucket into 6 gallon bucket. Now in 7 gallon bucket you have 7 - 6 = 1 gallon. Pour that 1 gallon into 12 ...

**Math**

1.) a1 = 16.5 a2 = 16.5 + 0.25 = 16.75 a3 = 16.75 + 0.25 = 17 a4 = 17 +0.25 = 17.25 a5 = 17.25 +0.25 = 17.5 2.) an = a1 + ( n - 1 ) * d an = - 1 + ( n - 1 ) * 5 OR an = 5 ( n - 1 ) - 1

**Math**

In an Arithmetic Sequence the difference between one term and the next is a constant. 19 - 14 = 5 24 - 19 = 5 29 - 24 = 5 So difference = 5 29 + 5 = 34 34 + 5 = 39 39 + 5 = 44 Answer A

**pre-calc**

When you want to solve system with three unknowns you must write three equations, not two.

**math**

3. Answer c Becouse : For x = - 4 y = 2 x – 3 = 2 * ( - 4 ) - 3 = - 8 - 3 = - 11 4. Answer d If your expression mean y = - x + 8 6. m = ( y2 - y1 ) / ( x2 - x1 ) In this case : x1 = 6 , x2 = 4 , y1 = 2 , y2 = - 2 m = ( y2 - y1 ) / ( x2 - x1 ) = ( - 2 - 2 ) / ( 4 - 6...

**math**

( 10 , - 52 ) Becouse : For x = 10 y = - 5 x - 4 = - 5 * 10 - 4 = - 50 - 4 = - 54

**Geometry**

The interior angles of a triangle always add up to 180° x + x + 10° + 2 x - 6° = 180° 4 x + 4° = 180° Subtract 4° to both sides 4 x + 4° - 4° = 180° - 4° 4 x = 176° Divide both sides by 4 4 x / 4 = 176° / 4 x = 44° Angles...

**algebra**

In google type : Systems Matrix Calculator When you see list of result click on : Online calculator. Linear equations solver: Matrix solution. When page be open type your coefficients 1 , 3 , 2 , 3 2 , - 1 , - 3 , - 8 5 , 2 , 1 , 9 and click opštion : Solve the system. ...

**ALGEBRA /116**

-5 x / 7 - 2 > - 1 Multiply both sides by - 1 _______________________________________ Remark : When you multiply or divide each side of the inequality by a negative number, you have to reverse the inequality symbol. ______________________________________ 5 x / 7 + 2 < 1 ...

**algebra/116**

Put x and y values into equation : y = 6 x - 6 1. x = 0 , y = - 6 y = 6 x - 6 y = 6 * 0 - 6 = 0 - 6 = - 6 Correct x = 12 , y = 3 y = 6 x - 6 y = 6 * 12 - 6 = 72 - 6 = - 66 Not correct One correct set and one uncorrect set. So ansver 1 is not correct. 2. x = 0 , y = - 6 y = 6 x...

**math**

( 3 / 4 ) * ( 7 / 8 ) = ( 3 * 7 ) / ( 4 * 8 ) = 21 / 32

**calculus**

W = Width L = Length Draw rectangle W x L Divde rectangle into thirds with two lines parallel with width. Outside fance perimeter = 2 W + 2 L Inside fance length = 2 W Total cost : ( 2 W + 2 L ) * 10 $ + 2 W * 20 $ = 400 $ ( 2 W + 2 L ) * 10 + 2 W * 20 = 400 20 W + 20 L + 40 W...

**math**

39 = 3 * 13

**math**

a = First number b = Second number The sum of digit = 9 a + b = 9 Subtract b to both sides a + b - b = 9 - b a = 9 - b The different of digit = 5 b - a = 5 b - ( 9 - b ) = 5 b - 9 + b = 5 2 b - 9 = 5 Add 9 to both sides 2 b - 9 + 9 = 5 + 9 2 b = 14 Divide both sides by 2 2 b...

**math help**

x + y = 2 Subtract x to both sides x + y - x = 2 - x y = 2 - x 3 x ^ 2 + 4 x y + y ^ 2 = 6 3 x ^ 2 + 4 x ( 2 - x ) + ( 2 - x ) ^ 2 = 6 ________________________________ Remark : ( a - b ) ^ 2 = a ^ 2 - 2 a b + b ^ 2 So : ( 2 - x ) ^ 2 = 2 ^ 2 - 2 * 2 *x + x ^ 2 ...

**Algebra 1**

This is not systems of equations.

**Math**

330 ° = 360 ° - 30 ° Circular functions: sin ( 360 ° - theta ) = - sin theta sin 330 ° = sin ( 360 ° - 30 ° ) = - sin 30 ° = - 1 / 2 cos ( 360 ° - theta ) = cos theta cos 330 ° = cos ( 360 ° - 30 ° ) = cos 30 ° = sqroot 2 / 2...

**General Question.**

In Psychology : Dark orange - Distrust Pink - Caring Blue - Loyalty

**math**

For example : First : Rectangle 18 x 2 Perimeter = 2 * 18 + 2 * 2 = 36 + 4 = 40 Area = 18 * 2 = 36 Second : Rectangle 7 x 6 Perimeter = 2 * 7 + 2 * 6 = 14 + 12 = 26 Area = 7 * 6 = 42

**7 grade fraction word problem**

1 1 / 2 = 1 + 1 / 2 = 2 / 2 + 1 / 2 = 3 / 2 If She uses 1 1/2 cups of sugar for every 2 pies she use ( 1 1 / 2 ) / 2 = ( 3 / 2 ) / 2 = 3 / 4 cup for one pie. 5 1 / 4 = 5 + 1 / 4 = 20 / 4 + 1 / 4 = 21 / 4 5 1 / 4 / ( 3 / 4 ) = 21 / 4 / ( 3 / 4 ) = 21 / 3 = 7 pies

**Math**

Note that, in this sequence, each term is twice the previous term. 6 / 4 = 2 * 3 / 4 12 / 4 = 2 * 6 / 4 = 3 24 / 4 = 2 * 12 / 4 = 2 * 3 = 6 48 / 4 = 2 * 24 / 4 = 2 * 6 = 12 96 / 4 = 2 * 48 / 4 = 2 * 12 = 24 192 / 4 = 2 * 96 / 4 = 2 * 24 = 48 384 / 4 = 2 * 192 / 4 = 2 * 48 = 96...

**Trigonometry**

943 ° = 720 ° + 223 ° = 2 * 360 ° + 223 ° Coterminal angle = 223 °

**Math Help Please!!!**

- 10 x + y = 4 x = - 2 - 10 * ( - 2 ) + y = 4 20 + y = 4 y = 4 - 20 = - 16 x = - 1 - 10 * ( - 1 ) + y = 4 10 + y = 4 y = 4 - 10 = - 6 x = 0 - 10 * 0 + y = 4 0 + y = 4 y = 4 x = 1 - 10 * 1 + y = 4 - 10 + y = 4 y = 4 + 10 = 14 x = 2 - 10 * 2 + y = 4 - 20 + y = 4 y = 4 + 20 = 24

**Math**

an = a1 + ( n - 1 ) d a10 = 3 + ( 10 - 1 ) * 6 a10 = 3 + 9 * 6 = 3 + 54 = 57

**Math**

In arithmetic sequence : an = a1 + ( n - 1 ) d Where: a1 is the first term of the sequence d is the common difference n is the number of the term a1 = 3 a4 = 3 + ( 3 - 1 ) d = 3 + 2 d a13 = 3 + ( 13 - 1 ) d = 3 + 12 d 1st, 4th, and 13th term forming a geometric sequence, so : ...

**Math**

2 / 3 = 2 / 3 * 1 = ( 2 / 3 ) * ( 3 / 3 ) = 6 / 9 2 / 9 + 2 / 3 = 2 / 9 + 6 / 9 = 8 / 9

**MATH**

Both answers are correct.

**Algebra 2**

3 square root( 2 x + 1 ) = 3 square both sides 3 ^ 2 * square root( 2 x + 1 ) ^ 2 = 3 ^ 2 9 * ( 2 x + 1 ) ^ 2 = 9 Divide both sides by 9 2 x + 1 = 1 Subtract 1 to both sides 2 x + 1 - 1 = 1 - 1 2 x = 0 Divide both sides by 2 x = 0