# Posts by Bosnian

Total # Posts: 2,536

Pre-calculus
If your expressiom mean: y = 2 * 10 ^ ( - 44 ) * e ^ ( 0.055 x ) = 50000 then: 2 * 10 ^ ( - 44 ) * e ^ ( 0.055 x ) = 5 * 10 ^ 4 Divide both sides by 2 * 10 ^ ( - 44 ) e ^ ( 0.055 x ) = 5 * 10 ^ 4 / 2 * 10 ^ ( - 44 ) e ^ ( 0.055 x ) = ( 5 / 2 ) * 10 ^ 4 / 10 ^ ( - 44 ) e ^ ( 0....

Math
An irrational number is a real number that cannot be written as a simple fraction. ?150 = ? ( 25 * 6 ) = ?25 * ?6 = 5 ?6 ?6 cannot be written as a simple fraction so ?150 = 5 ?6 is an irrational number ?441 = ? (21^2 ) = 21 ?200 = ? (100 * 2 ) = ?100 ?2 = 10 ?2 ?2 cannot be ...

math
m + 2 n = 3 Subtract 2 n to both sides m + 2 n - 2 n = 3 - 2 n m = 3 - 2 n Put this value in equation 2 m + n = 0 2 ( 3 - 2 n ) + n = 0 2 * 3 - 2 * 2 n + n = 0 6 - 4 n + n = 0 6 - 3 n = 0 Add 3 n to both sides 6 - 3 n + 3 n = 0 + 3 n 6 = 3 n Divide both sides by 3 6 / 3 = 3 n...

geometry
r = d / 2 r = 4.6 / 2 r = 2.3 m r ^ 2 = 2.3 ^ 2 r ^ 2 = 5.29 A(210°) = 7 * r ^ 2 ? ? / 12 A(210°) = 7 * 5.29 ? ? / 12 A(210°) = 37.03 ? ? / 12

geometry
If your quesions refers to circle then: Area of a circle: A = r ^ 2 * ? 210 ° / 360 ° = 2 * 3 * 5 * 7 / 2 ^ 3 * 3 ^ 2 * 5 = 7 / 2 ^ 2 * 3 = 7 / 4 * 3 = 7 / 12 A(210°) = r ^ 2 ? ? * 7 / 12 A(210°) = 7 * r ^ 2 ? ? / 12

Algebra2
Your answer is correct. cos ? - tan ? * cos ? = 0 cos ? - sin ?/cos ? * cos ? = 0 cos ? - sin ? = 0 cos ? = sin ? sin ? = cos ? In interval: 0 < ? < 2 ? sin ? = cos ? for ? = ? / 4 and ? = 5 ? / 4 By the way this is trigonometry, not algebra.

Maths
If he saved 1 / 4 of money, he has: 1 - 1 / 4 = 4 / 4 - 1 / 4 = 3 / 4 of a sum of money. a) 4 / 9 of 3 / 4 = ( 4 / 9 ) * ( 3 / 4 ) = 4 * 3 / 9 * 4 = 12 / 36 = 12 / 12 * 3 = 1 / 3 He spend 1 / 3 money on suitcase. b) 3 / 4 - 1 / 3 = 3 * 3 / 4 * 3 - 4 * 1 / 4 * 3 = 9 / 12 - 4 / ...

Algebra
L = W + 5 H = W + 2 V = L * W * H V = ( W + 5 ) * W * ( W + 2 ) V = ( W + 5 ) * ( W + 2 ) * W V = ( W * W + 5 * W + 2 * W + 2 * 5 ) V = ( W ^ 2 + 5 W + 2 W + 10 ) * W V = ( W ^ 2 + 7 W + 10 ) * W V = W ^ 2 * W + 7 W * W + 10 * W V = W ^ 3 + 7 W ^ 2 + 10 W

Math
2 2/4 = 2 1/2 = 2.5 1/4 =0.25 2.5 / 0.25 = 10

Math
Correction. Sorry my mistake. 2 l + 10 l = 12 l 2 l / 12 l = 2 / 2 * 6 = 1 / 6

Math
1 l + 10 l = 11 l 1 l / 11 l = 1 / 11

math
LCM = 468 Becouse: The prime factorisation of 9 is: 3 * 3 = 3 ^ 2 The prime factorisation of 18 is: 2 * 9 = 2 * 3 ^ 2 The prime factorisation of 52 is: 4 * 13 = 2 ^ 2 * 13 2 : two occurrences 3 : two occurrences 13 : one occurrence LCM = 2 * 2 * 3 * 3 * 13 = 468 GCF = 1 ...

Algebra
ln [ nth root ( x ) ] = ln ( x ) / n ln ?4 = ln ( 4 ) / 2 OR ln [ x ^ n )= n * ln ( x ) ?4 = 4 ^ ( 1 / 2 ) ln [ 4 ^ ( 1 / 2 ) ] = ( 1 / 2 ) * ln ( 4 ) = ln ( 4 ) / 2

Math
In google type: inverse matrix calculator When you see results click on: Inverse Matrix Calculator - Matrix Reshish Set your matrix and click option Calculate then click option: Show solution You will see solution step-by step

math
L = W + 4 P = 2 W + 2 L = 2 ( W + L ) = 48 2 ( W + W + 4 ) = 48 2 ( 2 W + 4 ) = 48 Divide both sides by 2 2 W + 4 = 24 Subtract 4 to both sides 2 W + 4 - 4 = 24 - 4 2 W = 20 Divide both sides by 2 W = 10 in L = W + 4 = 10 + 4 = 14 in A = L * W = 10 * 14 = 140 in ^ 2

Math
- 21.2 - ( - 7.4 ) = - 21.2 + 7.4 = - 13.8 - 35 - ( - 21.2 ) = - 35 + 21.2 = - 13.8 - 48.8 - ( - 35 ) = - 48.8 + 35 = - 13.8 - 62.6 - ( - 48.8 ) = - 62.6 + 48 = - 13.8 an = a(n-1)- 13.8

Math
What is dg?

math
a = first number b = second number You have conditions: a + b = 31 and a - b = 7 Add the two equations together to eliminate b from the system. a + b = 31 + a - b = 7 ________ a + a + b + ( - b ) = 31 + 7 2 a + b - b = 38 2 a + 0 = 38 2 a = 38 Divide both sides by 2 a = 38 / 2...

math trignometry
You also can write this in simplified form: sin ( x / 2 ) = ? [ ( 4 + ?15 ) / 4 * 2 ] sin ( x / 2 ) = ? ( 4 + ?15 ) / ? ( 4 * 2 ) sin ( x / 2 ) = ? ( 4 + ?15 ) / ( ?4 * ?2 ) sin ( x / 2 ) = ? ( 4 + ?15 ) / ( 2 * ?2 ) sin ( x / 2 ) = ? ( 4 + ?15 ) / 2 ?2 cos ( x / 2 ) = ? [ ( 4...

math trignometry
sin x = 1 / 4 cos x = ± ? ( 1 - sin ^ 2 x ) In II quadrant cosine is negative so: cos x = - ? ( 1 - sin ^ 2 x ) cos x = - ? [ 1 - (1 / 4 ) ^ 2 ] cos x = - ? [ 1 - (1 / 16 ) ] cos x = - ? [ 16 / 16 - (1 / 16 ) ] cos x = - ? [ ( 16 - 1 ) / 16 ) ] cos x = - ? ( 15 / 16 ) ...

college algebra
If The middle number is 2 3 the largest. mean: The middle number is 2 / 3 the largest. then: a = smalest number b = middle number c = largest number a = c / 2 b = ( 2 / 3 ) c a + b + c = 104 c / 2 + ( 2 / 3 ) c + c = 104 3 c / 6 + 4 c / 6 + 6 c / 6 = 104 13 c / 6 = 104 ...

math
a1 is the initial term of an arithmetic progression. The common difference of successive members is d. The nth term of an arithmetic progression. an = a1 + ( n - 1 ) d In this case: n = 6 a6 = a1 + ( 6 - 1 ) d = 37 a1 + 5 d = 37 The sum of the n terms of an arithmetic is: Sn...

Calculus
If your expression mean: x - 12 * ?( x + 1 ) - 12 then: x - 12 * ?( x + 1 ) - 12 = x - 12 * ( x + 1 ) ^ ( 1 / 3 ) - 12 If h' (x) = 0 h (x) has a local extrema ( maximum or minimum ) In this case: h' (x) = 1 - 12 * ( 1 / 3 ) ( x + 1 ) ^ ( 1 / 3 - 1 ) = 1 - 12 / 3 ( x + ...

algebra
If your expression mean: [ ( v ^ 2 + 6 v + 8 ) / ( v ^ 2 + v -12 ) ] / [ ( v + 2 ) / ( 2 v - 6 ) ] then: [ ( v ^ 2 + 6 v + 8 ) / ( v ^ 2 + v -12 ) ] / [ ( v + 2 ) / ( 2 v - 6 ) ] = ( v ^ 2 + 6 v + 8 ) * ( 2 v - 6 ) / [ ( v ^ 2 + v -12 ) * ( v + 2 ) ] = ( 2 v * v ^ 2 + 2 v * 6 ...

algebra
( 8 b ^ 3 - 6 ) / ( 2 b - 1 ) = 4 b ^ 2 + 2 b + 1 - 5 / ( 2 b - 1 )

MATH
20,000 = 2 * 10 ^ 4 0.24 = 2.4 * 10 ^ - 2 20,000 * 0.024 = 2 * 10 ^ 4 * 2.4 * 10 ^ - 2 = 2 * 2.4 * 10 ^ 4 * 10 ^ - 2 = 4.8 * 10 ^ 4 * 10 ^ - 2 = 4.8 * 10 ^ [ 4 + ( - 2 ) ] = 4.8 * 10 ^ ( 4 - 2 ) = 4.8 * 10 ^ 2

math
1000 = 10 ^ 3 8000 = 8 * 10 ^ 3 3.25 * 10 ^ - 22 * 8 * 10 ^ 3 = 3.25 * 8 * 10 ^ - 22 * 10 ^ 3 = 26 * 10 ^ - 22 * 10 ^ 3 = 26 * 10 ^ ( - 22 + 3 ) = 26 * 10 ^ ( - 19 ) = 2.6 * 10 * 10 ^ ( - 19 ) = 2.6 * 10 ^ 1 * 10 ^ ( - 19 ) = 2.6 * 10 ^ ( - 19 + 1 ) = 2.6 * 10 ^ - 18

algebra
5 c ^ 2 - 24 c d - 5 d ^ 2 Rewrite - 24 c d as - 25 c d + c d Now: 5 c ^ 2 - 24 c d - 5 d ^ 2 = 5 c ^ 2 - 25 c d + c d - 5 d ^ 2 = 5 c ^ 2 + c d - 25 c d - 5 d ^ 2 = 5 c ^ 2 + c d - ( 25 c d + 5 d ^ 2 ) = c ( 5 c + d ) - 5 d ( 5 c + d ) = ( 5 c + d ) ( c - 5 d ) Your solution ...

trigonometry
cos x = 4 / 5 sin x = ±? ( 1 - sin^2 x ) The angles which lie between 0° and 90° are lie in the first quadrant. In the first quadrant sin x is positive so: sin x = ? ( 1 - sin^2 x ) sin x = ? ( 1 - sin^2 x ) = sin x = ? [ 1 - ( 4 / 5 ) ^ 2 ] = ? [ 1 - 16 / 25...

math
A = Present age of A B = Present age of B Five years ago person A was A - 5 yrs old. Person B was B - 5 yrs old. Five years ago, A was three times as old as B mean: A - 5 = 3 ( B - 5 ) Ten years later person A shal be: A - 5 + 10 = A + 5 yrs old Person B shal be: B - 5 + 10 = ...

Math
- sin x = cos x Divide both sides by - cos x - sin x / - cos x = cos x / - cos x tan x = - 1 Solution: x = pi * n - pi / 4 If n = 1 then: x = pi * n - pi / 4 = pi * 1 - pi / 4 = pi - pi / 4 = 4 pi / 4 - pi / 4 = 3 pi / 4 If n = 2 then: x = pi * n - pi / 4 = pi * 2 - pi / 4 = 2...

Hard Pre-Algrebra question
( 2 1 / 2 ) / ( 1 / 8 ) = 2.5 / 0.125 = 20 ( 2 1 / 8 ) / ( 1 / 8 ) = 2.125 / 0.125 = 17 1 / ( 1 / 8 ) = 1 / 0.125 = 8 20 * 17 * 8 = 2720 cubes OR Volume of a right rectangular prism: V = 2 1/2 * 2 1/8 * 1 = 2.5 * 2.125 * 1 = 5.3125 in ^ 3 Volume of a cube: V = ( 1 / 8 ) ^ 3 = ...

The two-point form of a straight line passing through the points ( x1, y1 ) and ( x2 , y2 ) is given by: y ? y1 = ( y2 ? y1 ) * ( x ? x 1 ) / ( x2 ? x1 ) Ini this case: x1 = 1994 , x2 = 1996 y1 = 6400 , y2 = 6800 So: y ? y1 = ( y2 ? y1 ) * ( x ? x 1 ) / ( x2 ? x1 ) y ? 6400...

Fundamentals Of Math
a = first piece b = second piece One piece is 10 cm longer than the other mean: b = a + 10 a + b = 60 a + a + 10 = 60 2 a + 10 = 60 Subtract 10 to both sides 2 a + 10 - 10 = 60 - 10 2 a = 50 Divide both sides by 2 a = 50 / 2 = 25 cm b = a + 10 b = 25 + 10 = 35 cm

Algebra 1
The domain of this function is the set of values you may choose for h , the independent variable. A number of horses must be a nonnegative integer The domain is the set of nonnegative integers: 0, 1, 2, 3, 4, 5, 6... The range of this function is the set of values you will ...

Algebra 2
S ? = ? ? = a * r ^ n =? a? ? ( 1 ??– ?r ) n=1 In this case a = 2 , infinite sum = 10? so: S ? = 10 = a? ? ( 1 ??– ?r ) 10 = 2? ? ( 1 ??– ?r ) Multiply both sides by 1 - r 10 * ( 1 ??– ?r ) = 2? 10 * 1 ??– ?10 * r = 2? 10 - 10 r = 2 Subtract 10 to both...

math
a triangular prism

Math
In google type: math limit calculator online When you see list of results click on: Limit Calculator - eMathHelp When page be open in rectangle type you funcktion and click option CALCULATE You will see solution step-bystep By the way square root is write sqrt not just root. ...

math
If it is an isosceles triangle the two base angles will be equal. Let the base angle be a, then the vertex angle will be: 180° - 2 a According to the condition: Top vertex is twice the of the sum of the base angle: 180° - 2 a = 2 ( a + a ) 180° - 2 a = 2 * 2a 180&...

Mathematics

Pre-cal
a = first number b = second number b = 2 a - 5 b + a ^ 2 = 115 2 a - 5 + a ^ 2 = 115 - 5 + a ^ 2 + 2 a = 115 Subtract 115 to both sides - 5 + a ^ 2 + 2 a - 115 = 115 - 115 - 5 + a ^ 2 + 2 a - 115 = 0 Try to slove this equation. The solutions are : a = - 12 and a = 10 - 12 isn...

MATH HELP! CHECK MY ANSWER ASAP!
1. V = l w h Divide both sides by l w V / l w = h 2. x = y + z Subtract y to both sides x - y = y + z - y x - y = z 3. r t = d Divide both sides by t r = d / t r = 7.5 / 1.5 = 5 mph

m240

m240

math
t = total practice time s = shooting practice time d = dribbling practice time s = ( 7 / 10 ) t = 0.7 t d = t - s = t - 0.7 t = 0.3 t d = 18 min 0.3 t = 18 Divide both sides by 0.3 t = 18 / 0.3 = 60 min s = 0.7 t = 0.7 * 60 = 42 min

math
L1 = Length of the first rectangle W1 = Width of the first rectangle A1 = Area of the first rectangle L2 = Length of the second rectangle W2 = Width of the second rectangle A1 = Area of the second rectangle L1 = 2 W1 A1 = L1 * W1 = 2 W1 * W1 = 2 W1 ^ 2 L2 = L1 + 3 = 2 W1 + 3 ...

Algebra 1
1. ( a + b ) ^ 2 = a ^ 2 + 2 a * b + b ^ 2 so ( 3 ?6 + 5 ?10 ) ^ 2 = ( 3 ?6 ) ^ 2 + 2 * 3 ?6 * 5 ?10 + ( 5 ?10 ) ^ 2 ( 3 ?6 + 5 ?10 ) ^ 2 - 286 + 60 ?15 = ( 3 ?6 ) ^ 2 + 2 * 3 ?6 * 5 ?10 + ( 5 ?10 ) ^ 2 - 286 + 60 ?15 = 3 ^ 2 * 6 + 6 * ?6 * 5 ?10 + 5 ^ 2 * 10 - 286 + 60 ?15 = ...

Math
a = numbers of adults s = number of students 120 people attended the baseball game mean: a + s = 120 Adults cost \$6 and students cost \$4 to attend the game. The game raised \$600 from the attendance mean: a * &6 + s * \$4 = \$600 OR 6 a + 4 s = 600 Now you must solwe system: a + ...

HELP MATH
Let x be the amount of money he has. Let m be price of one mango. Let o be price of one orange. Suppose he can just buy n of each fruit. Then: n * m + n * o = x You know 20 mangoes cost x so m = x / 20 likewise o = x / 30 So you have: n * m + n * o = x n * x / 20 + n * x / 30...

D S S LIMAWA MINNA NIGER STATE
mass = m = 20 g = 20 / 1000 = 0.02 kg speed = v = 150m/s The workdone to stop bullet must be equal to its kinetic energy: W = m v ^ 2 / 2 W = 0.02 * 150 ^ 2 / 2 = 0.02 * 22500 / 2 = 450 / 2 = 225 J 225 Joules

Math
A A C

Math
1. 40% = 40 / 100 = 0.4 85 / 0.4 = 212.5 ANSWER A 2. 5% = 5 / 100 = 0.05 0.05 * 1250 = 62.5 Answer A 3. 6.25% = 6.25 / 100 = 0.0625 0.0625 * 249.99 = 15.624375 15.624375 + 249.99 = 265.614375 OR Price of a desk = 100% Tax rate = 6.25% Total price = 100% + 6.25% = 106.25% = 106...

math
1 - 1 / 3 = 3 / 3 - 1 / 3 = 2 / 3 2 / 3 * 12 = 24 / 3 = \$8

math
If you think about triangular numbers then: xn = n ( n + 1 ) / 2 n = 1 x1 = 1 * ( 1 + 1 ) / 2 = 1 * 2 / 2 = 2 / 2 = 1 1 is less than 10. n = 2 x2 = 2 * ( 2 + 1 ) / 2 = 2 * 3 / 2 = 6 / 2 = 3 3 is less than 10. n = 3 x3 = 3 * ( 3 + 1 ) / 2 = 3 * 4 / 2 = 12 / 2 = 6 6 is less than...

Algebra
a1 = 25 an = a1 + ( n- 1 ) d a20 = a1 + ( 20 - 1 ) d 500 = 25 + 19 d Subtract 25 to both sides 500 - 25 = 25 + 19 d - 25 475 = 19 d Divide both sides by 19 475 / 19 = d 25 = d d = 25

Math
If you think about this question: Winnie wrote the following riddle: I am a number between 60 and 100. My ones digit is two less than my tens digit. I am a prime number. Part A What number does Winnie’s riddle describe? Explain. Part B Winnie’s friend Marco guessed ...

MATH

Algebra 2
Multiply first equation by ? 1 The result: 2 x - 2 y - 3 z = 0 Add the result to the second equation 2 x - 2 y - 3 z = 0 + - 2 x - y + z = - 3 _______________ 0 - 3 y - 2 z = - 3 - 3 y - 2 z = - 3 Add the first equation to the third equation - 2 x + 2 y + 3 z = 0 + 2 x + 3 y...

Math
W = L - 22 A = L ( L - 22 ) L = 39 in A = L ( L - 22 ) = 39 ( 39 - 22 ) = 39 * 17 = 663 in ^ 2

LCD = 12 1 / 3 = 1 * 4 / 3 * 4 = 4 / 12 3 / 4 = 3 * 3 / 4 * 3 = 9 / 12 5 / 12 = 5 / 12 1 / 2 = 1 * 6 / 2 * 6 = 6 / 12 5 / 6 = 5 * 2 / 6 * 2 = 10 / 12

calculus
a L = ? [ sqrt 1 + ( y´ )^ 2 ] dx b In this case: y´= 3 * 5 * x ^ 2 + 9 = 15 x ^ 2 + 9 1 + ( y´ )^ 2 = 1 + ( 15 x ^ 2 + 9 ) ^ 2 a = - 3 b = 1 f(x) = sqroot [ 1 + ( 15 x ^ 2 + 9 ) ^ 2 ]

math

maths
Profit of 10% = 100% + 10% = 110% Loss of 10% = 100% - 10% = 90% Let selling price of each table be x Total selling price = 2 x Total cost price = 100 x /110 + 100 x / 90 = 9 * 100 x / ( 11 * 90 ) + 100 * 11 x / ( 90 * 11 ) = 900 x / 990 + 1100 x / 990 = 2000 x / 990 = 10 * ...

Math help plz?!!
arcsin(0.89) = 1.09734517 radians arcsin(0.89)= 62.87325° arcsin(0.89)= 62.87° to the nearest hundredth of a degree

math
t = tulips r = roses c = carnations For every 10 tulips, there are 4 roses and 6 carnation mean: r = ( 4 / 10 ) t = 0.4 t c = ( 6 / 10 ) t = 0.6 t t + r + c = 100 t + 0.4 t + 0.6 t = 100 2 t = 100 Divide both sides by 2 t = 100 / 2 = 50 tulips r = 0.4 * 50 = 20 roses c = 0.6...

Maths
Volume of a cube side 3 cm = 3 ^ 3 = 27 cm ^ 3 Volume of a cube side 1 / 2 cm = ( 1 / 2 ) ^ 3 = 1 / 8 cm ^ 3 27 / ( 1 / 8 ) = 27 * 8 = 216 cubes OR 3 cm / ( 1 / 2 ) cm = 6 6 ^ 3 = 216 cubes

Math(precalc)
4 ^ ( 4 x - 3 ) = 3 ^ ( 9 x - 6 ) ( 2 ^ 2 ) ^ ( 4 x - 3 ) = 3 ^ ( 9 x - 6 ) Take the natural logarithm of both sides and use the identity: log ( a ^ b ) = b * log a log 2 ^ 2 = 2 * log ( 2 ) log [ ( 2 ^ 2 ) ^ ( 4 x - 3 ) ] = log ( 2 ^ 2 ) * ( 4 x - 3 ) = 2 * log ( 2 ) * ( 4 x...

Math
If your figure a circle then: C = d * pi C = 23 * 3.1415926535 = 72.2566310305 ft approximate = 72 ft

calculus
Correct answer? Quotient Rule for Derivatives: [ f ( t ) / g ( t ) ] ´ = g ( t ) * f ´( t ) - f ( t ) * g ´( t ) / g ( t ) ^ 2 In this case g ( t ) = c + t so: w ( t )´ = [ ( c + t ) * f´( t ) - f ( t ) * ( c + t )´ ] / ( c + t ) ^ 2 = [ ( c...

Maths
g = numbers of girls b = number of boys There are 15 more boys than girls mean: b = g + 15 The ratio of the number of girls to the number of boys in a sports club is 3:6 mean: g / b = 3 / 6 3 / 6 = 1 / 2 so: g / b = 1 / 2 Replace b = g + 15 in this equation. g / ( g + 15 ) = 1...

Math Plz help ASAP
1) p = 3 f 2) 2 x + 3 3) -7 x 4) y = 3 x for x = 0 , y = 3 * 0 = 0 for x = 1 , y = 3 * 1 = 3 for x = 2 , y = 3 * 2 = 6 for x = 3 , y = 3 * 3 = 9 0 , 3 , 6 , 9 Answers: B C A [ if y = -7 x ] B

math 1
9 x - 4 y = - 3 Multiply both sides by 8 72 x - 32 y = - 24 8 x - 3 y = - 1 Multiply both sides by 9 72 x - 27 y = - 9 72 x - 32 y = - 24 - 72 x - 27 y = - 9 ___________________ - 32 y - ( - 27 y ) = - 24 - ( - 9 ) - 32 y + 27 y = - 24 + 9 - 5 y = - 15 Divide both sides by - 5...

math 1
Correct answer. But 82=-82 Isn't correct. Least Common Denominator of 6 and 8 is 24, not 48. 6 x + 8 y = 4 Multiply both sides by 4 24 x + 32 y = 16 8 x - 3 y = 19 Multiply both sides by - 3 - 24 x + 9 y = - 57 24 x + 32 y = 16 + - 24 x + 9 y = - 57 ___________________ 41 ...

math
a) x = numbers of marbles when the container is filled ( 3 / 5 ) x = 45 Multiply both sides by 5 3 x = 5 * 45 3 x = 225 Divide both sides by 3 x = 225 / 3 x = 75 b ) 2 / 5 marbles are needed to completely fill. ( 2 / 5 ) * 75 = 2 * 75 / 5 = 150 / 5 = 30 OR a) 3 / 5 = 2 * 3 / 2...

math 1

Math
1. ? 13 ^ 2 = 13 3 ? 13 ^ 2 = 3 * 13 = 39 2. ( 2 / 3 ) ^ 5 = ( 2 / 3 ) ^ 4 * ( 2 / 3 ) = [ ( 2 / 3 ) ^ 2 ] ^ 2 * ( 2 / 3 ) ? ( 2 / 3 ) ^ 5 = ? [ ( 2 / 3 ) ^ 2 ) ^ 2 ] * ? ( 2 / 3 ) = ( 2 / 3 ) ^ 2 * ? ( 2 / 3 ) = ( 4 / 9 ) * ? ( 2 / 3 ) = 4 * ? ( 2 / 3 ) / 9 = 4 * ? 2 / 9 * ? 3

Math
A. Flat doesn't change 2 changes with x y = 2 x + 5 B. y-intercept is a point on the graph where x is zero. y = 2 * 0 + 5 = 0 + 5 = 5 x = 0 , y = 5 x-intercept is a point on the graph where y is zero. 2 x + 5 = 0 2 x = - 5 x = - 5 / 2 = - 2 .5 x = - 2.5 , y = 0 Draw ...

Math
x = first number x + 1 = second number 1 / x + 1 / ( x + 1 ) = 17 / 72 [ 1 * ( x + 1 ) + 1 * x ] / [ x * ( x + 1 ) ] = 17 / 72 [ ( x + 1 ) + x ] / [ x * x + x * 1 ) ] = 17 / 72 ( 2 x + 1 ) / ( x ^ 2 + x ) = 17 / 72 Multiply both sides by 72 72 * ( 2 x + 1 ) / ( x ^ 2 + x ) = ...

math
2 ^ ( - 3 x ) = 1 / 2 ^ ( 3 x ) = 1 / 4 so: 2 ^ ( - 3 x ) = 1 / 4 1 / 2 ^ ( 3 x ) = 1 / 4 Take reciprocials of both sides: 2 ^ ( 3 x ) = 4 2 ^ ( 3 x ) = 2 ^ 2 Take the logarithm base 2 of both sides 3 x = 2 Divide both sides by 3 x = 2 / 3

Calculus
A constant factor within an integrand can be separated from the integrand and multiplied by the integral. In this case: integral [ ( 1 / 2 ) * e ^ ( t / 2 ) dt ] = 1 / 2 integral e ^ ( t / 2 ) Substitute: u = t / 2 du = dt / 2 Multiply both sides by 2 2 du = dt dt = 2 du 1 / 2...

math
a = first numbner b = second number b = 3 a a + b = 20 a + 3 a = 20 4 a = 20 Divide both sides by 4 a = 5 b = 3 a = 3 * 5 = 15 The two numbers: 5 and 15

Algebra
3 n ^ 2 + 21 n = 3 n * n + 3 n * 7 = 3 n ( n + 7 ) 6 n ^ 2 + 18 n = 6 n * n + 6 n * 3 = 6 n ( n + 3 )

math
52 % of 825 = ( 52 / 100 ) * 825 = 52 * 825 / 100 = 42900 / 100 = 429 boys When more boys joined the school numbers of boys will be: 429 + x total number of pupils will be 825 + x ( 429 + x ) / ( 825 + x ) = 64 % = 64 / 100 = 0.64 ( 429 + x ) / ( 825 + x ) = 0.64 Multiply both...

Math
The ratio: 5 : 3 : 2 5 + 3 + 2 = 10 5 / 10 = 0.5 = 50 % peanuts 3 / 10 = 0.3 = 30 % walnuts 2 / 10 = 0.2 = 20 % cashews 0.3 * 12 = 3.6 Answer c

calculus
v = ds / dt = s´(t) = 1/ ( 1 + t ) ^ 2

math
12 days / 10 days = 12 / 10 = 1.2 1.2 * 20 men = 24 men

math
t1 = 75 = results of the first test t2 = 81 = results of the secondt test t3 = 88 = results of the third test t4 = 92 = results of the fourth test t = results of the fifth test average of 5 test a = ( t1 + t2 + t3 + t4 + t ) / 5 Nick needs a test average of 80 or better mean...

math
N = Present Nancy ages C = Present Cathy ages Nancy is 3 times as old as Cathy mean: N = 3 C In seven years Nancy will be N + 7 yrs old , Cathy will be C + 7 yrs old In seven years, she will be ten years older than Cathy Mean: N + 7 = C + 7 + 10 N + 7 = C + 17 Subtract 7 to ...

Math
26

Algebra
Every odd integer can be written in the form 2 k + 1 So your first integer is a1 = 2 k + 1 Second integer is a2 = first integer + 2 = a1 + 2 = 2 k + 1 + 2 = 2 k + 3 Third integer is a3 = second integer + 2 = a2 + 2 = 2 k + 3 + 2 = 2 k + 5 Product of the first integer and the ...

algebra
x = 5 y = - 2 x + 9 = - 2 * 5 + 9 = - 10 + 9 = - 1 x = 5 , y = - 1

algebra
2 x + y = 9 Subtract 2x to both sides 2 x + y - 2 x = 9 - 2 x y = 9 - 2 x y = - 2 x + 9 Now put x values in this formula x = - 3 y = - 2 x + 9 = - 2 * ( - 3 ) + 9 = 6 + 9 = 15 x = - 3 , y = 15 x = 1 y = - 2 x + 9 = - 2 * 1 + 9 = - 2 + 9 = 7 x = 1 , y = 7 x = 4 y = - 2 x + 9...

math
Correction y > ( 99 / 13 ) / - 15 y > - 99 / 13 * 15 y > - 33 * 3 / 13 * 5 * 3 y > - 33 / 13 * 5 y > - 33 / 65

math
If ?15/9y < 11/13 mean: ?( 15 / 9 ) y < 11 / 13 then multiply both sides by 9 - 15 y < 99 / 13 Divide both sides by - 15 When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality. y > ( 99 / 13...

math
J = Justin's age S = Sam's age Justin is 3 years older then Sam mean: J = S + 3 Justin’s age in 2 years will be twice what Sam’s age was 3 years ago mean: J + 2 = 2 ( S - 3 ) Replace J = S + 3 in this equation. S + 3 + 2 = 2 * S - 2 * 3 S + 5 = 2 S - 6 ...

math
R = L + 6 R + 5 + L + 5 = 2 ( R - 4 + L - 4 ) R + L + 10 = 2 ( R + L - 8 ) R + L + 10 = 2 * R + 2 * L - 2 * 8 R + L + 10 = 2 R + 2 L - 16 Replace R = L + 6 in this equation L + 6 + L + 10 = 2 ( L + 6 ) + 2 L - 16 2 L + 16 = 2 * L + 2 * 6 + 2 L - 16 2 L + 16 = 2 L + 12 + 2 L - ...

maths
25 m

algebra
a = first integer a + 1 = second integer a + 2 = third integer first integer + third integer: a + a + 2 = 16 2 a + 2 = 16 Subtract 2 to both sides 2 a + 2 - 2 = 16 - 2 2 a = 14 Divide both sides by 2 a = 14 / 2 = 7 Three consecutive integers are 7, 8 , 9 7 + 9 = 16

math
x = present age One half of her age two years from now: ( x + 2 ) / 2 One third of her age three years ago: ( x - 3 ) / 3 ( x + 2 ) / 2 + ( x - 3 ) / 3 = 20 Multiply both sides by 2 2 * ( x + 2 ) / 2 + 2 * ( x - 3 ) / 3 = 20 * 2 ( x + 2 ) + 2 * ( x - 3 ) / 3 = 40 Multiply both...

Math
V = L * W * D V = 25 * 10 * 2 = 500 m ^ 3