# Bosnian

Most popular questions and responses by Bosnian-
## math

N = number of games played = 10 W = number of games won L = number of lost games If he played 10 games and won the W games, he lost 10 - W games. This means: L = 10 - W 5 points are awarded for each game won 2 points deducted for game lost Total number of

*posted on June 16, 2019* -
## Math

15 x + 16 - ( 5 x - 9 ) = 15 x + 16 - 5 x - ( - 9 ) = 15 x - 5 x + 16 + 9 = 10 x + 25 = 5 ∙ 2 x + 5 ∙ 5 = 5 ( 2 x + 5 )

*posted on June 16, 2019* -
## Calculus

Similar to Reiny: Draw a Cartesian coordinate system x = 0 to 6 Draw line y = 4 - x , where x = 0 to 4 For x = 0 , y = 4 , for x = 4 y = 0 Draw line y = 2 x - 8 , where x = 4 to 6 For x = 4 , y = 0 , for x = 6, y = 4 The definite integral is area of the

*posted on June 14, 2019* -
## maths

M = Mark´s present age B = Brother´s present age Mark is 10 years older than his brother mean: M = B + 10 After four years Mark will be M + 4 yrs old and brother wil bee B + 4 yrs old. In four years he will be twice as old as his brother mean: ( M + 4 )

*posted on June 14, 2019* -
## Maths

If your question mean: 7 crores + 2 ten thousand + 1 thousand + 4 then 7 crores + 2 ten thousand + 1 thousand + 4 = 70 000 000 + 20 000 + 1 000 + 4 = 70 021 004

*posted on June 11, 2019* -
## Math

If your question mean: 1 / 2 + 3 / 2 + 6 / 2 then 1 / 2 + 3 / 2 + 6 / 2 = ( 1 + 3 + 6 ) / 2 = 10 / 2 = 5

*posted on June 11, 2019* -
## math

8:55 am to 9:00 am = 5 min 9:00 am to noon = 3 h noon to 10:15 pm = 10 h 15 min Total time of travel: t = 5 min + 3 h + 10 h + 15 min = 13 h 20 min 1 h = 60 min 1 min = 1 h / 60 20 min = 20 ∙ 1 h / 60 = 20 h / 60 = 20 h / 20 ∙ 3 = 1 h / 3 t = 13 h 20

*posted on June 11, 2019* -
## geometry

c) The distance between two points: d = √ [ ( x2 - x1 )² + ( y2 - y1 )² ] Coordinates of the origin O ( 0 , 0 ) The distance between origin ( 0 , 0 ) and P ( 4 , 1 ) = OP x1 = 0 , y1 = 0 , x2 = 4 , y2 = 1 d = √ [ ( x2 - x1 )² + ( y2 - y1 )² ] = OP

*posted on June 11, 2019* -
## Maths

Standard form of a polynomial is ordering all terms from the highest degree (power) to the lowest degree. In this case: 4 y⁴ + y² + 6 y + 9

*posted on June 11, 2019* -
## Science

Henry's Law : c = k P c = the solubility P = the pressure k = the constant of that particular gas If c = k P then k = c / P In this case: c = 0.034 mol / L P = 1 atm k = c / P k = 0.034 / 1 k = 0.034 mol / L ∙ atm Now put this constant into Henry's law,

*posted on June 11, 2019* -
## Maths

Divide both sides by 104 and simplify result. n = 68 / 104 = 4 ∙ 17 / 4 ∙26 n = 17 / 26

*posted on June 10, 2019* -
## algebra

The two-point form of a straight line: y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 ) In this case: x1 = 1 , y1 = - 8 x2 = 0 , y2 = 5 y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 ) y - ( - 8 ) = [ 5 - ( - 8 ) ] ∙ ( x - 1 ) / ( 0 - 1 ) y + 8 = ( 5 + 8 ) ∙

*posted on June 8, 2019* -
## Math

Of course, you can also create a table. The difference is a constant = 160 and you just put in the table: year is the previous year + 1 sales = sales of in previes year + 160 The table looks like this. 1 | 120 2 | 280 3 | 440 4 | 600 5 | 760 6 | 920

*posted on June 8, 2019* -
## Math

Mark years with x and sold snowboards with y. x1 = 1 , y1 = 120 x2 = 2 , y2 = 280 x3 = 3 , y = 440 y2 - y1 = 280 - 120 = 160 y3 - y2 = 440 - 280 = 160 Difference is constant. This mean, equation is linear , y = m x + c m is the slope of the line. m = ( y2

*posted on June 8, 2019* -
## mathematics

In google paste: An aeroplane flies from town X on a bearing of N45'E to another town Y, a distance of 200km. It then changes course and flies to another town Z on a bearing of S60'E. If Z is directly east of X, calculate to 3sf, the distance from X to Z

*posted on June 8, 2019* -
## Math

My typo. y ≤ - 270

*posted on June 7, 2019* -
## Math

y / 9 ≤ - 30 Multiply both sides by 9 y ≤ 270

*posted on June 7, 2019* -
## calculus

Are you sure you wrote correctly? If your expression mean: If your question mean: Find the area y=x^2 and y=4x-x^2 In google paste: The area of the region bounded by the curve y=x^2 and y=4x-x^2 When you see list of results go on: socratic. o r g Wou will

*posted on June 4, 2019* -
## Calculus

T(t) = 30 + 70e^(-1.25t) isn't correct answer. It's like this. k = ln ( 7 / 5 ) T = A + c ∙ e ^ ( - k t ) T = 30 + 70 ∙ e ^ ( - k t ) T = 30 + 70 ∙ e ^ [ - ln ( 7 / 5 ) ∙ t ] T = 30 + 70 ∙ [ e ^ ln ( 7 / 5 ) ] ^ ( - t ) T = 30 + 70 ∙ ( 7 / 5 )

*posted on June 4, 2019* -
## Math

Partially correct. Let's the first term in the sequence the 1, So a1 = 1 If the ratio between terms is r, then any term in the sequence is : an = a1 ⋅ r ⁿ⁻¹ If there are 5 geometric means between 1 and 15 625, then 15 625 must be the 7th term ( a7

*posted on June 4, 2019* -
## math

In this case, may be it best to use interpolation. In wolframalpha. c o m paste: interpolate ( 1 , 12 ) , ( 2 , 6 ) , ( 3 , 4 ) , ( 4 , 3 ) , ( 5 , 2 ) , ( 6, 12 / 5 ) interpolating polynomial is: x ^ 5 / 300 + x ^ 4 / 30 - 21 x ^ 3 / 20 + 43 x ^ 2 / 6 -

*posted on June 4, 2019* -
## Math

g = number of girls b = number of boys SG = Sum of height of all girls SB = Sum of height of all boys There are 45 studentss in the class. g = 45 - b The mean height of girls: Sum of height of all girls / g = 144 SG / g = 144 SG = 144 ∙ g SG = 144 ∙ (

*posted on June 3, 2019* -
## math

go on: wolframalpha.c o m When page be open in rectangle paste this: image a circle center at (0,0) and passes through (2,2) and click =

*posted on May 29, 2019* -
## math

The equation of a circle with center ( 0 , 0 ) and radius r is given by : x² + y² = r² In this case: x = 2 , y = 2 x² + y² = r² 2² + 2² = r² 4 + 4 = r² 8 = r² r = √ 8 r = √ 4 ∙ 2 r = √ 4 ∙ √ 2 r = 2 ∙ √ 2 r = 2 ∙ 1.41 r = 2.82

*posted on May 29, 2019* -
## precalculus

Draw Cartesian system. Height from the origin of Cartesian system to center of a circle = height of a platform + radius of the wheel h = 2 + 12.5 h = 14.5 m At point x = 0 , y = 14.5 draw a circle whose radius is: r = 25 / 2 = 12.5 m If total height of the

*posted on May 25, 2019* -
## calculus

In google paste: Newton Raphson method calculator - AtoZmath.com When page be open in rectangle type: x^3-3x-3 Click option: Initial solution x0 2 and click option: Find Four time click on option: Click here to display next solution steps You will see

*posted on May 21, 2019* -
## Math

If -16^2 + 120t + 300 mean h(t) = -16 t² + 120 t + 300 then -16 t² + 120 t + 300 = 350 subtract 350 to both sides -16 t² + 120 t + 300 - 350 = 0 -16 t² + 120 t - 50 = 0 Multiply both sides by - 1 16 t² - 120 t + 50 = 0 Solve with the quadratic

*posted on May 21, 2019* -
## Algebra

2 x² + 8 - 4 x + 3 x - 6 x² + 7 = 2 x² - 6 x² - 4 x + 3 x + 8 + 7 = - 4 x² - x +15

*posted on May 21, 2019* -
## Science

D. a heliocentric model, which mean Sun is center of the solar system.

*posted on May 20, 2019* -
## Math

A = a² a = √A a = √144 a = 12 in

*posted on May 20, 2019* -
## Math

9 x / 2 x = 9 / 2 = 4.5

*posted on May 20, 2019* -
## Maths

J = John´s present age P = Peter´s present age John is five years older than Peter mean: J = P + 5 Five years ago John was J - 5 yrs old , Peter was P - 5 yrs old. Twice the product of their ages five years ago is 100 more than product of their present

*posted on May 20, 2019* -
## Math

A = B * H A = 82 · 16.6 = 1361.2

*posted on May 20, 2019* -
## Math

The absolute value tells you how far a number is from zero. It doesn’t pay any attention to whether the number is less than or greater than zero. So absolute values are always positive numbers. The symbol for absolute value is two vertical bars | | In

*posted on May 20, 2019* -
## Math

tan θ = ( high of hut - high of boy ) / 15 m tan θ = ( 24 - 1.5 ) / 15 = 22.5 / 15 = 1.5 θ = tan⁻¹ ( 1.5 ) θ = 56,309932474° θ = 56° 18´ 36"

*posted on May 16, 2019* -
## math

In step 2. 5.2 + ( – 8.5 – 0.5 ) + 6.8 This is associative property, because he just ragrouped the terms.

*posted on May 16, 2019* -
## Algebra 2

8. 4 m ( 2 m + 9 m² - 6 ) = 4 m ∙ 2 m + 4 m ∙ 9 m² - 4 m ∙ 6 = 8 m² + 36 m³ - 24 m = 36 m³ + 8 m² - 24 m 9. q ( 11 + 8 q - 2 q² ) = q ∙ 11 + q ∙ 8 q - q ∙ 2 q² = 11 q + 8 q² - 2 q³ = - 2 q³ + 8 q² + 11 q ___________________________

*posted on May 13, 2019* -
## Mathematics

40 / ( 3 + 5 ) = 40 / 8 = 5

*posted on May 13, 2019* -
## Algebra 2

8 , 12 and 13 Multiply members one by one and edit expression. 20. r² + 6 r - 40 = ( r² - 4 r ) + 10 r - 40 = ( r² - 4 r ) + ( 10 r - 40 ) = r ( r - 4 ) + 10 ( r - 4 ) = ( r - 4 ) ( r + 10 ) 21. x² - 13 x - 30 = ( x² + 2 x ) - 15 x - 30 = ( x² + 2 x

*posted on May 13, 2019* -
## maths

If your expression mean: 1 / (1 - cos θ ) + 1 / ( 1 + cos θ ) then 1 / (1 - cos θ ) + 1 / ( 1 + cos (θ) = [ 1 ∙ ( 1 + cos θ ) + 1 ∙ ( 1 - cos θ ) ] / [ (1 - cos θ ) ∙ ( 1 + cos θ ) ] = ( 1 + cos θ + 1 - cos θ ) / ( 1 - cos² θ ) = 2 /

*posted on May 12, 2019* -
## Math

A quarter of the distance = 640 / 4 = 160 miles rest of the distance = 640 - 160 = 480 miles Distance, speed, time formula: s = d / t If he did not make a rest he would travel: t = 640 / s1 [ hours ] where s1 = speed in a first quarter of the distance t1 =

*posted on May 12, 2019* -
## Math

1. a. cos θ = 9 / 20 = 0.18 θ = cos⁻¹ ( 0.18 ) = 79.630240195° θ = 80° θ to the nearest degree b. Pythagorean theorem h = √ ( 20² - 9² ) = √ ( 400 - 81 ) = √ 319 = 17.8605711 h = 17.9 m correct to 1 decimal place 2. sin y = cos ( y + 20°

*posted on May 9, 2019* -
## Math

27% = 27 / 100 = 0.27 Lisa = 0.27 ∙ 500 = 135 votes 12% = 12 / 100 = 0.12 Harvey = 0.12 ∙ 500 = 60 votes 135 - 60 = 75

*posted on May 9, 2019* -
## Algebra 2

That is geometric sequence where firs term a1 = - 2 and common ratio r = - 2 The n-th term of a geometric sequence: an = a1 ∙ r ⁿ ⁻¹ In this case: a20 = - 3 ∙ ( - 2 ) ²⁰ ⁻¹ = - 3 ∙ ( - 2 ) ¹⁹ = - 3 ∙ ( - 1 ∙ 2 ) ¹⁹ = = - 3 ∙ (

*posted on May 8, 2019* -
## Math

None of the offered is true. When the letters are different the number of arrangements is 6! 6! = 1 ∙ 2 ∙ 3 ∙ 4 ∙ 5 ∙ 6 = 720

*posted on May 8, 2019* -
## math

Solve it mathematically. 1 1/ 2 = 1 + 2 / 2 = 2 / 2 + 1 / 2 = 3 / 2 = 2 ∙ 3 / 2 ∙ 2 = 6 / 4 ( 6 / 4 ) / ( 1 / 4 ) = 6 6 ∙ 3 = 18 servings OR 1 / 4 pound / 3 servings = 1 / 12 pound per one serving 1 1/ 2 = 3 / 2 ( 3 / 2 ) / ( 1 / 12 ) = 12 ∙ 3 / 2

*posted on May 8, 2019* -
## math

Bearings are always measured clockwise from north. A = start point B = point when a plane was flying 400 km and starts to fly under a bearing of 70° C = point after 600 km of fly Angle betwen AB and BC = θ A bearing of 70° mean θ = 180° - 70° = 110°

*posted on May 8, 2019* -
## Math

sin x = 6 / 10 = 3 / 5 First solution: x = sin^-1 (0.6) = sin^-1 ( 3 / 5 ) x = 36.86989765° Second solution: Use identity: sin ( 180° - x ) = sin x sin ( 180° - 36.86989765° ) = 3 / 5 sin ( 143.13010235°) = 3 / 5

*posted on May 5, 2019* -
## calculus

Apply the chain rule: df / dx = df / du ∙ du / dx where: f = eᵘ , u = 2x d ( eᵘ ) / du ∙ d ( 2 x ) / dx = eᵘ ∙ 2 = 2 eᵘ substitute back u = 2 x df / dx = 2 ∙ e²ˣ = 2 ∙ (eˣ)² _____________ Remark: d ( eᵘ ) / du = eᵘ d ( 2 x ) / dx

*posted on May 5, 2019* -
## math

n = number 9 n + 30 ≥ 17 This mean n can be 17 , 18 , 19... but not less of 17

*posted on May 5, 2019* -
## math

4 x² + 4 - 5 x + x - 2 x² + 8 = 4 x² - 2 x² - 5 x + x + 4 + 8 = 2 x² - 4 x + 12 = 2 ( x² - 2 x + 6 )

*posted on May 5, 2019* -
## math

The equation of the ellipse: x² / a² + y² / b² = 1 x² / 4900 + y² / 2500 = 1 a² = 4900 a = √4900 = 70 b² = 2500 b = √2500 = 50 Because we have the origin of our coordinate system in the center of the pool, the ycoordinate for each value of x

*posted on May 4, 2019* -
## Math

- 8 = ( - 1 ) ∙ 8 - 7 = ( - 1 ) ∙ 7 ( - 8 ) ∙ ( - 7 ) = ( - 1 ) ∙ 8 ∙ ( - 1 ) ∙ 7 = ( - 1 ) ∙ ( - 1 ) ∙ 8 ∙ 7 = 1 ∙ 56 = 56 ____________________ Remark: ( - 1 ) ∙ ( - 1 ) = ( - 1 )² = 1 ____________________

*posted on May 1, 2019* -
## math

5. ( m² - m - 4 ) + ( m - 5 ) = m² - m - 4 + m - 5 = m² - m + m - 4 - 5 = m² - 9 6. ( 7 x² - x - 2 ) - ( - 6 x³ + 3 ) = 7 x² - x - 2 - ( - 6 x³) - 3 = 7 x² - x + 6 x³ - 3 - 2 = 6 x³ + 7 x² - x - 5

*posted on May 1, 2019* -
## Math

6 / c + 4 / c² = 6 ∙ c / c ∙ c + 4 / c² = 6 ∙ c / c² + 4 / c² = ( 6 c + 4 ) / c² = 2 ∙ ( 3 c + 2 ) / c²

*posted on May 1, 2019* -
## Maths

dy / dt + t ∙ y² = 0 Substitute dy / dt with y′ y′ + t ∙ y² = 0 Subtract t ∙ y² to both sides y′ + t ∙ y² - t ∙ y² = 0 - t ∙ y² y′ = - t ∙ y² Divide both sides by y² y′ / y² = - t ( 1 / y² ) ∙ y′ = - t This mean: dy /

*posted on April 30, 2019* -
## algebra

2 x² = 18 x² = 18 / 2 x² = 9 x = ± √9 x = ± 3 The solutions are: x = - 3 and x = 3

*posted on April 29, 2019* -
## algebra

a x² + b x + c= 0 2 x² - 20 x + 50 = 0 In this case: a = 2 , b = - 20 , c = 50 The discriminant: d = b² - 4 a c d = (- 20)² - 4 ∙ 2 ∙ 50 d = 400 - 400 = 0 If d < 0 there are no real root If d = 0 the roots are real and equal ( one real root ) If d

*posted on April 29, 2019* -
## algebra

b² - 4 a c is the discriminant not determinant.

*posted on April 29, 2019* -
## math

Sophia, where did you learn geometry?

*posted on April 29, 2019* -
## math

C = 2 r π r = C / 2π = 273 / 2 ∙ 3.14159 = 273 / 6.28318 = 43.45 in

*posted on April 29, 2019* -
## Math

A = L ∙ W A = 1.2 ∙ 10⁵ ∙ 2 ∙ 10² = 1.2 ∙ 2 ∙ 10²⁺⁵ = 2.4 ∙ 10⁷

*posted on April 29, 2019* -
## Maths

Rate of increase: dV / dt = 10 dV = 10 dt Integrating both sides: V = 10 t + C C = integration constant Initial condition: t = 0 , V = 1 V = 10 t + C 1 = 10 ∙ 0 + C 1 = 0 + C 1 = C C = 1 V = 10 t + C V = 10 t + 1 After 3 seconds: V = 10 ∙ 3 + 1 V = 31

*posted on April 29, 2019* -
## maths

If R' = 500 +20 t then: Rate of flow of water into the dam: dR / dt = 500 + 20 t dR = 500 dt + 20 t ∙ dt Integrating both sides: R = 500 t + 20 t² / 2 + C R = 10 t² + 500 t + C C = integration constant Initial condition: t = 0 , R = 15 000 R = 10 t² +

*posted on April 29, 2019* -
## Algebra

Your work is completely correct.

*posted on April 26, 2019* -
## Math

Make a quick table. x = - 2 y = 4 ∙ ( - 2 ) + 2 = - 8 + 2 = - 6 x = -1 y = 4 ∙ ( - 1 ) + 2 = - 4 + 2 = - 2 x = 0 y = 4 ∙ 0 + 2 = 0 + 2 = 2 x = 1 y = 4 ∙ 1 + 2 = 4 + 2 = 6 x = 2 y = 4 ∙ 2 + 2 = 8 + 2 = 10 For graph find x - intercept and y -

*posted on April 26, 2019* -
## calculus II

Maclaurin series of function f(x) is a Taylor series of function f(x) at: a = 0 f(x) = f(0) + [ f´(0) / 1! ] ∙ x + [ f´´(0) / 2! ] ∙ x² + [ f´´´(0) / 3! ] ∙ x³ + [ f⁽⁴⁾(0) / 4! ] ∙ x⁴ +... f(0) = 1 / ( 7 + 0 ) = 1 / 7 Find

*posted on April 26, 2019* -
## Math

log ( x -1 ) + 2 log y = 2 log 3 log ( x -1 ) = 2 log 3 - 2 log y log ( x -1 ) = 2 ( log 3 - log y ) log ( x -1 ) = 2 log ( 3 / y ) log ( x -1 ) = log [ ( 3 / y )² ] x - 1 = ( 3 / y )² x - 1 = 9 / y² x = 9 / y² + 1 log x + log y = log 6 log ( x ∙ y )

*posted on April 24, 2019* -
## Math

The average scores of the last four tests taken by Mike is 86 marks mean: ( x1 + x2 + x3 + x4 ) / 4 = 86 multiply moth sides by 4 x1 + x2 + x3 + x4 = 86 ∙ 4 x1 + x2 + x3 + x4 = 344 Mike have total 344 marks When x times Mike get 100 marks awerage will

*posted on April 24, 2019* -
## Maths

If one going north and the other east distance will be: √ { ( 5 x )² + [ 5 ( x + 10 ) ]² } = 250 5 ( x + 10 ) = 5 x + 50 So: √ [ ( 5 x )² + ( 5 x + 50 )² ] = 250 √ [ 25 x ² + 25 x² + 500 x + 50² ] = 250 √ ( 50 x² + 500 x + 2 500 ) = 250 50

*posted on April 23, 2019* -
## Math

2 ( 7 + u ) = 2 ∙ 7 + 2 ∙ u = 14 + 2u

*posted on April 23, 2019* -
## Math

In this sequence: a8 = a1 + 7 d = 18 , a12 = a1 + 11 d = 26 Now solve system: a1 + 7 d = 18 a1 + 11 d = 26 ___________ a1 + 7 d = 18 - a1 + 11 d = 26 ___________ a1 - a1 + 7 d - 11 d = 18 - 26 0 - 4 d = - 8 - 4 d = - 8 d = - 8 / - 4 = 2 a1 + 7 d = 18 a1 +

*posted on April 23, 2019* -
## Math

That is not correct. cos 3 A = cos ( 2 A + A ) = cos ( 2 A ) ∙ cos A - sin ( 2 A ) ∙ sin A = _______________________ Remark: cos ( 2 A ) = cos² A - sin² A = cos² A - ( 1 - cos² A ) = cos² A - 1 + cos² A = 2 cos² A - 1 sin ( 2 A ) = 2 ∙ sin A

*posted on April 23, 2019* -
## Math

cos x sin x + sin x = 0 sin x ( cos x + 1 ) = 0 Split into two equations: sin x = 0 cos x + 1 = 0 , cos x = - 1 sin x = 0 when x = 0 , x = 180° , x = 360° cos x = - 1 when x = 180° The solutios are: x = 0 , x = 180° , x = 360°

*posted on April 19, 2019* -
## Math

a = first number b = second number Sum of two number s is 215 mean: a + b = 215 Their difference is 53 mean: a - b = 53 Now you must solve system of two equation with two unknown:: a + b = 215 a - b = 53 Try that. The solutions are: a = 134 , b = 81 Prof:

*posted on April 19, 2019* -
## Maths

The perimeter of a isosceles triangle: P = 2 a + b where: a = length of the two equal sides b = third (unequal) side P = 2 a + b = 24 In this case a = x , b = 9 cm. 2 x + 9 = 24 Subtract 9 to both sides 2 x + 9 - 9 = 24 - 9 2 x = 15 Divide both sides by 2

*posted on April 18, 2019* -
## Math

[ ( 2ˣ ) -7 )² = 1 Take the square root of both sides. 2ˣ - 7 = ±1 You must solve two equations: 2ˣ - 7 = -1 and 2ˣ - 7 = 1 1.) 2ˣ - 7 = -1 Add 7 to both sides 2ˣ - 7 + 7 = -1 + 7 2ˣ = 6 Take the logarithm of both sides. x ∙ log ( 2 ) = log ( 6

*posted on April 18, 2019* -
## math

tan ( x ) ∙ sin²( x ) = tan( x ) Subtract tan ( x ) to both sides tan ( x ) ∙ sin²( x ) - tan( x ) = 0 tan ( x ) ∙ [ sin²( x ) - 1 ] = 0 Multiply both sides by - 1 tan ( x ) ∙ [ 1 - sin²( x ) ] = 0 tan ( x ) ∙ cos²( x ) = 0 sin ( x ) / cos

*posted on April 15, 2019* -
## Math

Reiny may be right. Really what does 4 x + 6 y = 1 / 8 + 3 x + 7 y = 1 / 10 mean?

*posted on April 13, 2019* -
## Math

4 x + 6 y = 1 / 8 + 3 x + 7 y = 1 / 10 mean: 4 x + 6 y = 1 / 10 1 / 8 + 3 x + 7 y = 1 / 10 Rewrite second equation: 1 / 8 + 3 x + 7 y = 1 / 10 Subtract 1 / 8 to both sides 1 / 8 + 3 x + 7 y - 1 / 8 = 1 / 10 - 1 / 8 3 x + 7 y = 1 / 10 - 1 / 8 3 x + 7 y = 4

*posted on April 13, 2019* -
## mathematics

The question was not written correctly. An inequality 3 ( x + 1 ) < 5 ( x + 2) can be solved: 3 ∙ x + 3 ∙ 1 < 5 ∙ x + 5 ∙ 2 3 x + 3 < 5 x + 10 3 x - 5 x < 10 - 3 - 2 x < 7 Divide both sides by - 2 and change the direction. x > - 7 / 2 I do not know

*posted on April 10, 2019* -
## Math

1:100 mean: 1cm of a plan drawn represents 100 cm 100 cm = 1 m 1cm of a plan drawn represents 1m 1 cm x 1 cm = 1cm² If 1cm of a plan drawn represents 1m then 1cm² of a plan drawn represents 1m² 30 cm² represents 30 m²

*posted on April 10, 2019* -
## Math

Jordan drove = 6 h ∙ 55 mil / h = 6 ∙ 55 = 330 miles Matt drove = 3 h ∙ 60 mil /h = 3 ∙ 60 = 180 miles Jordan and Matt drove combined 330 + 180 = 510 miles Isaac drove 82 miles longer than Jordan and Matt drove combined = 510 + 82 = 592 miles

*posted on April 8, 2019* -
## Math

yes answer A is correct. length / width ratio =18 / 6 = 3 12 in / w = 3 w = 4 in

*posted on April 3, 2019* -
## Math

Ab = Area of base = 8 ∙ 4 = 32 in² Vc = Volume of cards = Ab ∙ h = 32 in³ Ab ∙ h = 32 in³ 32 in² ∙ h = 32 in³ h = 32 in³ / 32 in² = 1 in Card stack is 1 inch high. Volume of box: Vb = 8 ∙ 4 ∙ 4 =128 in³ 32 in³ of cards taken: ( Vc / Vb

*posted on March 31, 2019* -
## Math

| - x |² = x² x = ± √ x² x = ± x | x |² = x² x = ± √ x² x = ± x This mean | - x | = | x | For x < 0 | - x | = | x | | - x | < 0 For x > 0 | - x | = x | - x | > 0 False.

*posted on March 31, 2019* -
## Math

csc θ ⋅ cot θ = 2√3 Subtract 2√3 to both sides csc θ ⋅ cot θ - 2√3 = 0 1 / sin θ ⋅ cos θ / sin θ - 2√3 = 0 cos θ / sin² θ - 2√3 = 0 cos θ / sin² θ - 2√3 ⋅ sin² θ / sin² θ = 0 ( cos θ - 2√3 ⋅

*posted on March 31, 2019* -
## Maths

Nonsense. He have $210.

*posted on March 30, 2019* -
## Algebra

That was prime factorisation. But if you use all numbers 1 ÷ 20 then: 6 1 , 2 , 3 , 6 8 1 , 2 , 4 , 8 10 1 , 2 , 5 , 10 14 1 , 2 , 7 , 4

*posted on March 30, 2019* -
## Algebra

Just number 16. 16 = 2 ∙ 2 ∙ 2 ∙ 2

*posted on March 30, 2019* -
## Maths

22.5° = 45° / 2 cos 45° = √ 2 / 2 cos ( θ / 2 ) = ± √ [ ( 1 + cos θ ) / 2 ] 45° is located in first quadrant where all trigonometric functions are positive so: cos 22.5° = cos ( 45° / 2 ) = √ [ ( 1 + cos 45° ) / 2 ] = √ [ ( 1 + √ 2 / 2

*posted on March 28, 2019* -
## Algebra

A. x² + 49 = 0 Subtract 49 from both sides x² + 49 - 49 = 0 - 49 x² = - 49 x = √ - 49 x = ± √ [ ( - 1) ∙ 7² ] x = ± √ ( - 1) ∙ √ 7² x = ± i ∙ 7 x = ± 7 i The solutions are x = - 7 i and x = 7 i B. a x² + bx + c = a ( x - x1 ) ∙ (

*posted on March 27, 2019* -
## Algebra

7.8 / 1.3 = 6 46.8 / 7.8 = 6 280.8 / 46.8 = 6 1684.8 / 280.8 = 6 Your data for y is a geometric sequence ( a sequence of numbers in which the ratio between consecutive terms is constant). The n-th term of a geometric sequence with initial value a1 and

*posted on March 27, 2019* -
## MATH

x = your number(s) Five times the difference of a number and two is seven more than that number mean: 5 ( x - 2 ) = 7 + x Twice a number decreased by two is equivalent to than number increased by five mean: 2 ( x - 2 ) = x + 5 Try to solve this two

*posted on March 26, 2019* -
## Math

( 2 , - 1 ) mean x = 2 , y = - 1 for A. y = 2 x - 1 y = 2 ∙ 2 - 1 = 4 - 1 = 3 for B. y = x + 3 = 2 + 3 = 5 for C. y = x - 3 = 2 - 3 = - 1 for D. y = ( - 2 x ) + 1 = ( - 2 ∙ 2 ) + 1 = - 4 + 1 = - 3 Only equation C y = x - 3 has solution x = 2 , y = - 1

*posted on March 26, 2019* -
## Math

an = a1 ∙ r ⁿ⁻¹ a2 = a1 ∙ r ²⁻¹ a2 = a1 ∙ r¹ a2 = a1 ∙ r = 35 a5 = a1 ∙ r ⁵⁻¹ a5 = a1 ∙ r⁴ 4375 = a1 ∙ r ∙ r³ 4375 = 35 ∙ r³ r³ = 4375 / 35 = 125 r = ∛125 r = 5 a1 ∙ r = 35 a1 ∙ 5 = 35 a1 = 35 / 5 = 7 a1 = 7 Now

*posted on March 26, 2019* -
## Math

Simplification 1. x + 2 = 2 x - 6, 2. W = 2 L - 8 P = 2 ( L + W ) = 2 ( L + 2 L - 8 ) = 2 ( 3 L - 8 ) = 6 L - 16 = 20 6 L -16 = 20 4. 6 x < 72 5. x + 10 > 50 Try to solve this equations.

*posted on March 26, 2019* -
## Math

The sum of the exterior angles of a regular polygon will always equal 360°

*posted on March 23, 2019* -
## math

Yes I am sure.

*posted on March 23, 2019* -
## math

A. Cone have one a flat base.

*posted on March 23, 2019*