# Posts by Bosnian

Total # Posts: 2,467

Mathematics
For the AP: 2 x = 8 + d 2 y = 2 x + d = 8 + d + d = 8 + 2 d 2 y = 8 + 2 d For the GP: 2 y = 36 / q 2 x = 2 y / q = ( 36 / q ) / q = 36 / q ^ 2 So: 2 x = 2 x 8 + d = 36 / q ^ 2 2 y = 2 y 8 + 2 d = 36 / q Now you must solve system: 8 + d = 36 / q ^ 2 8 + 2 d = 36 / q 8 + 2 d = ...

f math
Correction. On interval 0 ? x ? 270° sin x = 0 only for x = 0 and x = 180°

f math
1 - cos ^ 2 x = sin ^ 2 x 1 - cos ^ 2 x = 0 mean: sin ^ 2 x = 0 take square root of both sides: sin x = 0 On interval 0 ? x ? 270° sin x = 0 only for x = 0

Pre-calculus
Use trigonometric identities: sin ( x + y ) = sin x cos y + cos x sin y sin ( x - y ) = sin x cos y - cos x sin y cos ( x + y ) = cos x cos y - sin x sin y cos ( x - y ) = sin x sin y + cos x cos y sin ( x + y ) + sin ( x - y ) = sin x cos y + cos x sin y + sin x cos y - cos x...

Math
A woman is twice as old as her daughter mean: W = 2 D Five years ago wooman was W - 5 yrs , daughter was D - 5 yrs Five years ago the sum of their age was 62 mean: W - 5 + D - 5 = 62 W - 10 + D = 62 Add 10 to both sides W - 10 + D + 10 = 62 + 10 W + D = 72 Replace : W = 2 D in...

Algebra
Write your equation in explicit form: y = m x + n where: m is the slope of the line n is the y intercept 9 x + 3 y = - 22 Subtract 9 x to both sides 9 x + 3 y - 9 x = - 22 - 9 x 3 y = - 9 x - 22 Divide both sides by 3 y = - 9 x / 3 - 22 / 3 y = - 3 x - 22 / 3 Parallel lines ...

maths
Rearange your equations. 3 x - 2 y = 1 Multiply both sides by 2 6 x - 4 y = 2 2x + y = - 4 Multiply both sides by 3 6 x + 3 y = - 12 6 x - 4 y = 2 - 6 x + 3 y = - 12 ______________ 6 x - 6 x - 4 y - 3 y = 2 - ( - 12 ) 0 - 7 y = 2 + 12 - 7 y = 14 Divide both sides by - 7 y = 14...

Math
So what?

math
1. 2 / 5 = 2 * 2 / ( 5 * 2 ) = 4 / 10 4 2/5 = 4 + 2 / 5 = 4 + 4 / 10 = 4 * 10 / 10 + 4 / 10 = 40 / 10 + 4 / 10 = 44 / 10 1 7/10 = 1 + 7 / 10 = 10 / 10 + 7 / 10 = 17 / 10 4 2/5 - 1 7/10 = 44 / 10 - 17 / 10 = 27 /10 = 20 / 10 + 7 / 10 = 2 7/10 2. 5 2/3 = 5 + 2 / 3 = 5 * 3 / 3 + ...

math
( m n ) ^ 5 = m ^ 5 * n ^ 5

math
A student has passed 60 percent of the 20 quizzes he has written so far successfully mean: successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12 The remaining quizzes = 50 - 20 = 30 quizzes 80 percent of the remaining quizzes ...

math
M = Mimi’s cd’s R = Rita’s cd’s The ratio of the number of Mimi’s Eminem cd’s to the number of Rita’s Eminem cd’s is 5:8 mean: M / R = 5 / 8 Rita has 18 more Eminem cd’s than Mimi mean: R = M + 18 Now you have system of 2 equations ...

math
You can represent your number like: x = 10 * a + b where: a = tens digit b = ones digit Two of my divisor are 8 and 12 mean you must find least common multiple of 8 and 12 Least Common Multiple ( 8 , 12 )= 24 This mean x = 24 b = 2 , a = 4 Proof: x = 10 b + a = 24 x = 10 b + a...

Calculus
f(x) is concave up on an interval if f"(x) > 0 In this case f"(x)= 2 So x^2-3 is concave up for all vales of x, including interval ( -1, 1 )

Maths
Length of the diagonal of a square: d = sqroot ( a^ 2 + a ^ 2 ) = sqroot ( 2 a ^ 2 ) = sqroot ( 2 ) * a The area of a square is A = a ^ 2 So a = sqroot ( A ) 1 hectare = 10,000 m ^ 2 0.5 hectare = 5,000 m ^ 2 a = sqroot ( A ) = sqroot ( 5,000 ) = sqroot ( 50 * 100 ) = sqroot...

mth/208
d = a b c Divide both sides with b c d / b c = a a = d / b c Your answer is correct.

Geometrical progration
a1 = initial value r = common ratio = 10 The n-th term of a geometric sequence: an = a1 * r ^ ( n - 1 ) In this case: a6 = a1 * r ^ 5 2,000 = a1 * 10 ^ 5 2,000 = 100,000 a1 Divide both sides by 100,000 2,000 / 100,000 = a1 0.02 = a1 a1 = 0.02

Math
5 1/2 = 5 + 1 / 2 = 10 / 2 + 1 / 2 = 11 / 2 2 1/3 = 2 + 1 / 3 = 6 / 3 + 1 / 3 = 7 / 3 5 1/2 /2 1/3 = ( 11 / 2 ) / ( 7 / 3 ) = 11 * 3 / 2 * 7 = 33 / 14 33 / 14 = 28 / 14 + 5 / 14 = 2 + 5 / 14 = 2 5/14 Average number of pages = 33 / 14 = 2 5/14

Algebra
You're welcome

Algebra
- 2 / 5 x - 9 < 9 / 10 Add 9 to both sides - 2 / 5 x - 9 + 9 < 9 / 10 + 9 - 2 / 5 x < 9 / 10 + 90 / 10 - 2 / 5 x < 99 / 10 Multiply both sides by 5 - 2 x < 99 * 5 / 10 - 2 x < 99 * 5 / 2 * 5 - 2 x < 99 / 2 Divide both sides by - 2 When we multiply or ...

algebra
Put x coordinate into equation: 3 x - 2 y = 12 and check y coordinate 1. For x = 2 3 x - 2 y = 3 * 2 - 2 y = 12 6 - 2 y = 12 Subtact 6 to both sides 6 - 2 y - 6 = 12 - 6 - 2 y = 6 Divide both sides by - 2 y = 6 / - 2 y = - 3 x = 2 , y = - 3 True 2. For x = 4 3 x - 2 y = 3 * 4...

Algebra
Remark: 1 1/4 = 1 2/8 ___________ 1, 1 1/8, 1 1/4, 1 3/8 1 1/8 - 1 = 1/8 1 1/4 - 1 1/8 = 1 2/8 - 1 1/8 = 1/8 1 3/8 - 1 1/4 = 1 3/8 - 1 2/8 = 1/8 Common difference = 1/8 Answer C

Calculus
Using the chain rule: u = 3 x du = 3 dx Divide both sides by 3 du / 3 = dx dx = du / 3 d cosh ( 3 x ) / dx = d cosh ( u ) / ( du / 3 ) = 3 d cosh ( u ) / du d cosh ( u ) / du = sinh u so d cosh ( 3 x ) / dx = 3 d cosh ( u ) / du = 3 sinh u = 3 sinh ( 3 x )

Math
n = the numerator d = the denomenator the fraction = n / d If one be added to the numerator of a fraction it reduces to 1 / 5 mean: ( n + 1 ) / d = 1 / 5 If one be taken from the denomenator it reduces to 1 / 7 mean: n / ( d - 1 ) = 1 / 7 Now: ( n + 1 ) / d = 1 / 5 Multiply ...

MATHS URGENT
ln ( x ^ 4) = 4 ln x 9 / ln x + ln ( x ^ 4 ) = - 12 9 / u + 4 u = - 12 Multiply both sides by u 9 u / u + 4 u * u = ( - 12 ) * u 9 + 4 u ^ 2 = - 12 u Add 12 u to both sides 9 + 4 u ^ 2 + 12 u = - 12 u + 12 u 4 u ^ 2 + 12 u + 9 = 0 Now, find discriminant using formula D = b ^ 2...

MATHS URGENT
7 ^ ( 2 x - 1 ) = 7 ^ ( 2 x ) / 7 ^ 1 = ( 7 ^ x ) ^ 2 / 7 7 ^ ( x - 1 ) = 7 ^ x / 7 ^ 1 = 7 ^ x / 7 7 ^ ( 2 x -1 ) + 4 * 7 ^ ( x - 1 ) - 1 / 14 = 0 ( 7 ^ x ) ^ 2 / 7 + 4 * 7 ^ x / 7 - 1 / 14 = 0 Make the substitution u = 7 ^ x u ^ 2 / 7 + 4 u / 7 - 1 / 14 = 0 Multiply both ...

Math (Derivative)
In your homework you can replace ∆h with h Is all the same.

Math (Derivative)
f´(x)= lim [ f ( x + ∆h ) - f ( x ) ] / ∆h ∆h-> 0 In this case : f ( x ) = 1 + 1 / x ^ 2 f ( x + ∆h ) = 1 + 1 / ( x + ∆h ) ^ 2 f ( x + ∆h ) - f ( x ) = 1 + 1 / ( x + ∆h ) ^ 2 - ( 1 + 1 / x ^ 2 ) = 1 + 1 / ( x + ∆h ) ^ 2...

Maths
a ^ ( n - m ) = a ^ n / a ^ m 7 ^ ( x - 1 ) = 7 ^ x / 7 ^ 1 = 7 ^ x / 7 7 ^ x = u so 7 ^ x / 7 = u / 7 ( a ^ m ) ^ n = a ^ ( m * n ) 7 ^ 2 x = ( 7 ^ x ) ^ 2 Again: a ^ ( n - m ) = a ^ n / a ^ m so 7 ^ ( 2 x - 1 ) = 7 ^ 2 x / 7 ^ 1 = 7 ^ 2 x / 7 = ( 7 ^ x ) ^ 2 / 7 = u ^ 2 / 7

math
Factor 8454 8454 = 2 * 3 * 1409 8454 = 6 * 1409 8454 / 6 = 1409 Remark: 2 , 3 , 1409 is prime mumbers

Math
( 5 x - 1 ) / ( 2 x + 3 ) = 4 / 5 Multiply both sides by 5 5 ( 5 x - 1 ) / ( 2 x + 3 ) = 4 Multiply both sides by ( 2 x + 3 ) 5 ( 5 x - 1 ) = 4 ( 2 x + 3 ) 5 x * 5 - 1 * 5 ) = 2 x * 4 + 3 * 4 25 x - 5 = 8 x + 12 Add 5 to both sides 25 x - 5 + 5 = 8 x + 12 + 5 25 x = 8 x + 17 ...

Algebra
( a ) Put t = 8 in your formula h(8) = − 4.9 * 8 ^ 2 + 70 * 8 + 30 h(8) = − 4.9 * 64 + 560 + 30 h(8) = − 4.9 * 64 + 560 + 30 h(8) = − 313.6 + 590 h(8) = 276.4 ( b ) Put t = 0 in your formula h(0) = − 4.9 * 0 ^ 2 + 70 * 0 + 30 h(0) = − 4.9 * ...

Math
a = first number b = second number The sum of two numbers is 21 mean: a + b = 21 Five times the first number added to 2 times the second number is 66 mean: 5 a + 2 b = 66 a + b = 21 Subtract a to both sides a + b - a = 21 - a b = 21 - a Replace this value in equation: 5 a + 2 ...

math
One third of them were men: 1 / 3 * 450 = 450 / 3 = 150 men Two fifth of them were women: 2 / 5 * 450 = 2 * 450 / 5 = 900 / 5 = 180 women One tenth of them were boys: 1 / 10 = 450 / 10 = 45 boys 150 + 180 + 45 = 375 450 - 375 = 75 girls

Math
1 / 50 = 1 * 2 / 50 * 2 = 2 /100 = 0.02

Differentiation
Use chain rule: dy / dx = ( dy / du ) * ( du / dx ) u = log x y = log ( log x ) = log u dy / du = d ( log u ) / du = 1 / u = 1 / log x ( du / dx ) = d ( log x ) / dx = 1 / x dy / dx = ( dy / du ) * ( du / dx ) = ( 1 / log x ) * ( 1 / x ) = 1 / x log x

Geometric progression
s2 = s1 * q s4 = s1 * q ^ 3 8 = s1 * q 40 = s1 * q ^ 3 s1 * q ^ 3 = s1 * q * q ^ 2 40 = s1 * q ^ 3 = ( s1 * q ) * q ^ 2 = 8 * q ^ 2 40 = 8 * q ^ 2 40 / 8 = q ^ 2 5 = q ^ 2 q = ± sqrt ( 5 ) You can construct two g.p. 1. 8 = s1 * g 8 = s1 / sqrt ( 5 ) s1 = 8 / sqrt ( 5 ) ...

math
x = larger number 45 / x = 3 / 5 Multiply both sides by 5 45 * 5 / x = 3 225 / x = 3 Multiply both sides by x 225 = 3 x Divide both sides by 3 225 / 3 = x 75 = x x = 75 Proof: 45 / 75 = ( 3 * 15 ) / ( 5 * 15 ) = 3 / 5

math
- ( 2x + 7 ) = - 2 x - 7

math
1) 11 x + 2 y - 4 x - y = ( 11 x - 4 x ) + ( 2 y - y ) = 7 x + y 2) 9 x + 2y - 5 x = ( 9 x - 5 x ) + 2 y = 4 x + 2 y

algebra
OR 17, 20, 23, 26 is an arithmetic progression. 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 = a1 + ( n - 1 ) * d In this case the initial term a1 = 17, the common difference ...

algebra
n = 1, a1 = 17 = 3 * 1 + 14 = 3 + 14 n = 2, a2 = 20 = 3 * 2 + 14 = 6 + 14 n = 3 , a3 = 23 = 3 * 3 + 14 = 9 + 14 n = 4 , a4 = 26 = 3 * 4 + 14 = 12 + 14 an = 3 n + 14

Algebra
a = first number b = second number The sum of two numbers is 6 mean: a + b = 6 One number is 2 times the other mean: a = 2 b Replace a = 2 b in equation: a + b = 6 2 b + b = 6 3 b = 6 Divide both sides by 3 b = 6 / 3 = 2 a = 2 b = 2 * 2 = 4 a = 4 and b = 2

algebra 1
10 - ( s + 3 ) < 20 10 - s - 3 < 20 7 - s < 20 Subtract 7 to both sides 7 - s - 7 < 20 - 7 - s < 13 Multiply both sides by - 1 If you multiplied or divided both sides of an inequality by the negative number, then you must reverse the inequality sign. s > - 13

Math
9 / 8.1 = 5 / x Multiply both sides by x 9 x / 8.1 = 5 Multiply both sides by 8.1 9 x = 5 * 8.1 9 x = 40.5 Divide both sides by 9 x = 40.5 / 9 x = 4.5 5 apples cost \$4.5

Math
1 / 2 = 1 * 3 / 2 * 3 = 3 / 6 - 1 / 2 = - 3 / 6 1 / 3 = 1 * 2 / 3 * 2 = 2 / 6 - 1 / 2 + 1 / 3 = - 3 / 6 + 2 / 6 = - 1 / 6 Answer A I don't know what3 5/1 nean. 5 / 8 - ( - 2 / 8 ) = 5 / 8 + 2 / 8 )= 7 / 8 Answer D 2 / 5 = 2 * 2 / 5 * 2 = 4 / 10 - 9 / 10 - 2 / 5 = - 9 / 10...

Algebra
- 2 x + 2 y + 3 z = 0 Multiply both sides by - 1 2 x - 2 y - 3 z = 0 - 2 x + 2 y + 3 z = 0 + 2 x + 3 y + 3 z = 5 _________________ 5 y + 6 z = 5 2 x - 2 y - 3 z = 0 + - 2 x - y + z = - 3 __________________ - 3 y - 2 z = - 3 Multiply both sides by 3 - 9 y - 6 z = - 9 - 9 y - 6 ...

Algebra
2 x + 2 z = 4 Divide both sides by 2 x + z = 2 Subtract z to both sides x + z - z = 2 - z x = 2 - z Replace x = 2 - z in equation - x - y - z = - 8 - x - y - z = - 8 - ( 2 - z ) - y - z = -8 - 2 + z - y - z = - 8 - 2 - y + z - z = - 8 - 2 - y = - 8 Add 2 to both sides - 2 - y...

Plane and solid geometry
2 x ^ 2 + 4 y ^ 2 - 12 x - 64 y - 16 = 0 Add 16 to both sides 2 x ^ 2 + 4 y ^ 2 - 12 x - 64 y - 16 + 16 = 0 + 16 2 x ^ 2 + 4 y ^ 2 - 12 x - 64 y = 16 2 x ^ 2 - 12 x + 4 y ^ 2 - 64 y = 16 2 ( x ^ 2 - 6 x ) + 4 ( y ^ 2 - 16 y ) = 16 Divide both sides by 4 2 ( x ^ 2 - 6 x ) / 4...

maths
Half distance = 50 km The first half: 50 km / 40 km/h = 1.25 h The second half: 50 km / 80 km/h = 0.625 h Total time of the travel = 1.25 h + 0.625 h = 1.875 h average speed = 100 km / 1.875 h = 53.333 km / h

math
But if your question mean: The total number of students in a school is 1650. 70% of the pupils are boys. How many girls are there in the school? Then: 70% of the pupils are boys. 100 % - 70 % = 30 % 30% of the pupils are girls. 30 % = 30 / 100 = 0.3 0.3 * 1650 = 495 The total ...

math
The total number of students in a school can't be 1650.70%.

Math
40 % = 40 / 100 = 0.4 0.4 * 33 = 13.2

Math
30 % = 30 / 100 = 0.3 0.3 * 80 = 24

math
( 4 / 7 ) x = - 16 Multiply both sides by 7 4 x = - 16 * 7 4 x = - 112 Divide both sides by 4 x = - 112 / 4 = - 28 Answer B 4 s + 13 + s = 2 s + 40 - 6 5 s + 13 = 2 s + 34 Subtract 2 s to both sides 5 s + 13 - 2 s = 2 s + 34 - 2 s 3 s + 13 = 34 Subtract 13 to both sides 3 s + ...

Math
0.67 = 67 / 100 0.3 = 3 / 10 0.67 * 0.3 = 67 / 100 * 3 / 10 = 67 * 3 / ( 100 * 10 ) = 201 / 1000 = 0.201

The digit in the hundreds place is 3 times greater than the digit in the ones place. The digit in the ones place is 6 less than the digit in the hundred thousands place. If you mark digit in the one place with x and digit in the hundreds place with h this mean: h = 3 x and x...

Math
a = larger number b = smaller number The difference of two number is seven mean: a - b = 7 a - b = 7 Add b to both sides a - b + b = 7 + b a = 7 + b a = b + 7 When the larger number is decreased by five, then doubled, it is five more than the small number mean: ( a - 5 ) * 2...

Math
Your answer is partially correct. 4 ( 9 + 6 ) = 4 * 15 = 60 But also: 36 = 12 * 3 24 = 12 * 2 36 + 24 = 12 * 3 + 12 * 2 = 12 ( 3 + 2 ) 12 * ( 3 + 2 ) = 12 * 5 = 60 Answers b and d

MATH
If the initial term of an arithmetic progression is a a1 and the common difference of successive members is d, then the nth term of the AP is given by: an = a1 + ( n - 1 ) d a4 = a1 + ( 4 - 1 ) d a4 = a1 + 3 d = - 3 a9 = a1 + ( 9 - 1 ) d a9 = a1 + 8 d = 12 Now you must solve ...

maths
a / b = 3 / 4 Multiply both sides by b a = ( 3 / 4 ) b a + b = 84 ( 3 / 4 ) b + b = 84 ( 3 / 4 ) b + ( 4 / 4 ) b = 84 ( 7 / 4 ) b = 84 Multiply both sides by 4 7 b = 84 * 4 7 b = 336 Divide both sides by 7 b = 336 / 7 = 48 b = 48 a = ( 3 / 4 ) b = 3 * 48 / 4 = 144 / 4 = 36 a...

maths
a / b = 2 / 3 Multiply both sides by b a = ( 2 / 3 ) b a + b = 30 ( 2 / 3 ) b + b = 30 ( 2 / 3 ) b + ( 3 / 3 ) b = 30 ( 5 / 3 ) b = 30 Multiply both sides by 3 5 b = 30 * 3 5 b = 90 Divide both sides by 5 b = 90 / 5 = 18 a = ( 2 / 3 ) b = 2 * 18 / 3 = 36 / 3 = 12 a / b = 12 / ...

math 115
Reiny Volume isn't (100)(290)(29) km^3 a river is 100 kilometers long 290 meters wide and 29 meters deep 1 km = 1000 m 1 m = 1 / 1000 m 290 m = 290 / 1000 = 0.29 km 29 m = 29 / 1000 = 0.029 km Volume = ( 100 * 0.29 * 0.029 ) km ^ 3 = 0.841 km ^ 3 = 8.41 * 10 ^ - 1 km ^ 3

math 115
1 m = 10 dm 1 km = 1,000 m = 10,000 dm 100 km * 290 m * 29 m = 100 * 10,000 dm * 290 * 10 dm * 29 * 10 dm = ( 1,000,000 * 2,900 * 290 ) dm ^ 3 = ( 10 ^ 6 * 2.9 * 10 ^ 3 * 2.9 * 10 ^ 2 ) dm ^ 3 = ( 10 ^ 6 * 10 ^ 3 * 10 ^ 2 ) * ( 2.9 * 2.9 ) dm ^ 3 = ( 10 ^ 11 * 2.9 ^ 2 ) dm ^ 3...

Math (Trig Review)
tan ( arctan x ) = x cot x = 1 / tan x tan ( arccot x ) = tan [ arc (1 / tan x ) ] = 1 / tan ( arctan x ) = 1 / x tan ( arccot 2 ) = tan [ arc (1 / tan 2 ) ] = 1 / tan ( arctan 2 ) = 1 / 2

math
4 ( x + 3 ) = 5 x - 2 4 * x + 4 * 3 = 5 x - 2 4 x + 12 = 5 x - 2 Subtract 4 x to both sides 4 x + 12 - 4 x = 5 x - 4 x - 2 12 = x - 2 Add 2 to both sides 12 + 2 = x - 2 + 2 14 = x x = 14

Math
S = Sheila´s money R = Rita´s money Sheila and Rita had \$300 mean: S + R = 300 S + R = 300 Subtract S to both sides S + R - S = 300 - S R = 300 - S After Shiela gave \$56 to Rita, Shiela had: S - 56 dollars Rita had: R + 56 = 300 - S + 56 = 356 - S Rita had 5 times ...

carson high school
5 r - 3 s = 19 Multiply both sides by - 2 5 r * ( - 2 ) - 3 s * ( - 2 ) = 19 * ( - 2 ) - 10 r + 6 s = - 38

carson high school
5 r - 3 s = 19 Multiply both sides by - 2 - 5 r * ( - 2 ) - 3 s * ( - 2 ) = 19 * ( - 2 ) - 10 r + 6 s = - 38 Now your system become: - 10 r + 6 s = - 38 + 2 r - 6 s = - 2 __________________ - 10 r + 2 r + 6 s - 6 s = - 38 + ( - 2 ) - 8 r = - 38 - 2 - 8 r = - 40 Divide both ...

Algabra
D = Dick's age T = Tom's age H = Harry's age M = Mother's age D < T D > H D = T - 2 Add 2 to both sides D + 2 = T - 2 + 2 D + 2 = T T = D + 2 M = 3 D also: M = 2 T + 13 = 2 ( D + 2 ) + 13 = 2 * D + 2 * 2 + 13 = 2 D + 4 + 13 = 2 D + 17 M = M 3 D = 2 D + 17...

Algebra
6 = 6 * 3 / 3 = 18 / 3 6 = x + 2 / 3 18 / 3 = x + 2 / 3 Subtract 2 / 3 to both sides 18 / 3 - 2 / 3 = x + 2 / 3 - 2 / 3 16 / 3 = x x = 16 / 3

Math
1 / 2 = 1 * 4 / ( 2 * 4 ) = 4 / 8 1 / 2 + 3 / 8 = 4 / 8 + 3 / 8 = 7 / 8

Matrices
In google type: 2x2 System of Equations - Solver that Shows Steps When you see list of results clik on: 2x2 System of Equations - Solver that Shows Steps - Math Lessons When page be open type your coefficients: 3 , - 9 , 30 and 2 , 5 , -2 Click on: Solve by using Cramer's ...

Maths - Ratio
A = Angelique's ages S = Serena’s ages V = Venus’ ages A / S = 5 / 3 S / V = 6 / 5 Angelique is 25 years older than Venus mean: A = V + 25 Replace this value in equation: A / S = 5 / 3 ( V + 25 ) / S = 5 / 3 Multiply both sides by S V + 25 = 5 S / 3 Multiply both...

Pre algebra
Replace s = 4 and t = 8 in your equation. 2 s t ^ 2 - s ^ 2 = 2 * 4 * 8 ^ 2 - 4 ^ 2 = 2 * 4 * 64 - 16 = 8 * 64 - 16 = 512 - 16 = 496

Math HELP!
3 / 4 = 0.75 - 5 / 6 = - 0.833 0.75 > - 0.833 3 / 4 > - 5 / 6 - 1 3/4 = - 1.75 3 / 4 = 0.75 - 1.75 < 0.75 - 1 3/4 < 3 / 4 2 3/4 = 2.75 2 4/6 = 2 2/3 = 2.666 2.75 > 2.666 2 3/4 > 2 4/6

maths
A = P ( 1 + r / n ) ^ ( n * t ) A = total amount P = principal or amount of money deposited, r = annual interest rate n = number of times compounded per year t = time in years In this case : P = 224000 R = 2 % = 2 / 100 = 0.02 n = 1 t = 16 A = P ( 1 + r / n ) ^ ( n * t ) A = P...

geometry
Area of a regular hexagon = [ 3 sqroot ( 3 ) / 2 ] * a ^ 2 Where, a is the side of the hexagon. A = [ 3 sqroot ( 3 ) / 2 ] * a ^ 2 A = [ 3 sqroot ( 3 ) / 2 ] * 4 ^ 2 A = [ 3 sqroot ( 3 ) / 2 ] * 16 A = [ 3 sqroot ( 3 ) / 2 ] * 2 * 8 A = 3 sqroot ( 3 ) * 8 A = 24 sqroot ( 3 ) ...

math
If your expression mean: ( 3.96 x 10 ^ 2 ) / ( 1.5 x 10 ^ 6 ) then: 3.96 x 10 ^ 2 / 1.5 x 10 ^ 6 = ( 3.96 / 1.5 ) * ( 10 ^ 2 / 10 ^ 6 ) = 2.64 x 10 ^ ( 2 - 6 ) = 2.64 x 10 ^ -4

math
15 2/6 = 15 + 2 / 6 = 15 * 6 / 6 + 2 / 6 = 90 / 6 + 2 / 6 = 92 / 6 Multiply both sides by 4 4 * 92 / ( 4 * 6 ) = 368 / 24 15 2/6 = 368 / 24 9 1/4 = 9 + 1 / 4 = 9 * 4 / 4 + 1 / 4 = 36 / 4 + 1 / 4 = 37 / 4 Multiply both sides by 6 6 * 37 / ( 6 * 4 ) = 222 / 24 9 1/4 = 222 / 24 ...

Maths
A = b * h / 2 = [ ( 11 / 2 ) * ( 7 / 3 ) ] / 2 = ( 77 / 6 ) / 2 = 77 / 12

Math
17 - 2 * 3 - 8 = 3 17 - 6 - 8 = 11 - 8 = 3 33 / 3 - 2 * 5 = 1 11 - 10 = 1

math
( 1 + x + x ^ 2 ) ^ 3 = [ ( 1 + x ) + x ^ 2 ] ^ 3 Now use formulas: ( a + b ) ^ 2 = a ^ 2 + 2 a b + b ^ 2 and ( a + b ) ^ 3 = a ^ 3 + 3 a ^ 2 * b + 3 a * b ^ 2 + b ^ 3 [ ( 1 + x ) + x ^ 2 ] ^ 3 = ( 1 + x ) ^ 3 + 3 ( 1 + x ) ^ 2 * x ^ 2 + 3 ( 1 + x ) * ( x ^ 2 ) ^ 2 + ( x ^ 2...

Urgent Math
OR cot ( 2x ) - csc ( 2x ) = cos ( 2x ) / sin ( 2x ) - 1 / sin ( 2x ) = [ cos ( 2x ) - 1 ) ] / sin ( 2x ) Since the: cos ( 2x ) = cos ^ 2 x - sin ^ 2 x sin ( 2 x ) = 2 sin x cos x you can write: cot ( 2x ) - csc ( 2x ) = ( cos ^ 2 x - sin ^ 2 x - 1 ) / 2 sin x cos x = [ ( - 1...

Math
210,004,050

algebra
l = length w = width P = perimeter l = 2 w P = 2 ( l + w ) = 126 2 ( 2 w + w ) = 126 2 * 3 w = 126 6 w = 126 w = 126 / 6 = 21 ft l = 2 w = 2 * 21 = 42 ft

Math
A = b * h / 2 14 = 4 * h / 2 14 = 2 h h = 14 / 2 = 7

Math
g = the greater part s = the smaller part 2 g = 3 s Divide both sides by 2 g = ( 3 / 2 ) s g + s = 75 ( 3 / 2 ) s + s = 75 ( 3 / 2 ) s + ( 2 / 2 ) s = 75 ( 5 / 2 ) s = 75 Multiply both sides by 2 5 s = 75 * 2 5 s = 150 Divide both sides by 5 s = 150 / 5 s = 30 g = ( 3 / 2 ) s ...

CGTC
9 % = 9 / 100 = 0.09 7 % = 7 / 100 =0.07 x = the amount of money \$100 less then three times the amount = 3 x - 100 x * 0.09 + ( 3 x - 100 ) * 0.07 = 83 0.09 x + 3 x * 0.07 - 100 * 0.07 = 83 0.09 x + 0.21 x - 7 = 83 0.3 x - 7 = 83 0.3 x = 83 + 7 0.3 x = 90 x = 90 / 0.3 x = 300 ...

Math
"Prime Factorization" is finding which prime numbers multiply together to make the original number. In this case: 6 = 2 * 3 = 2 ^ 1 * 3 ^ 1 9 = 3 ^ 2 15 = 3 * 5 = 3 ^ 1 * 5 ^ 1 The highest power of the three prime numbers 2, 3, and 5 is: 2 ^ 1 = 2 3 ^ 2 = 9 5 ^ 1 = 5...

Math
1 * 300,000 / 10 = 300,000 / 10 = 30,000

Math
V = A * h 7,168 = 521 h Divide both sides by 512 7,168 / 512 = h 14 = h h = 14 cm

Math
|- 8| = 8 - 6 < |- 8| -6 < 8 Answer B

pre calculus honors
x + y + z = 15 7 x + y + z = 75 3 x + y - z = 29 Multiply first equation by − 7 ( x + y + z = 15 ) * ( - 7 ) -7 x - 7 y - 7 z = - 105 add this to the second equation -7 x - 7 y - 7 z = - 105 + 7 x + y + z = 75 ____________________ The result is: - 6 y - 6 z = - 30 Divide...

math
Yes

Math
( x + 1 ) * 500500 = 500500 ( x + 1 )

Math
If you in google type: Sum of numbers 1 to 100 By the way: 1 + 2 + 3 + 4 + . . . . + n = ( 1 + n )*( n / 2 ) 1 + 2 + 3 +…100 n = 100 1 + 2 + 3 +…100 =( 1 + 100 ) * ( 100 / 2 ) = 101 * 50 = 5050 ( x + 1 ) + 2 ( x + 1) + …+ 1000 ( x + 1 ) = ( x + 1 ) ( 1 + 2 +......

Math
This is calculus problem. In an open box you have square base with area a ^ 2 and 4 rectangle with area a * h where a is length of base and h is height of box Area of an open box: A = a ^ 2 + 4 a * h A = a ^ 2 + 4 a * h = 24 Subtract a ^ 2 to both sides a ^ 2 + 4 a * h - a ^ 2...

Math
22 - 10 = 12 34 - 22 = 12 46 - 34 = 12 58 - 46 = 13 70 - 58 = 12 Missing number = 70

math
25 = 5 * 5 35 = 5 * 7 1.25 = 5 / 4 25 / 35 = 1.25 / x become: 5 * 5 / ( 5 * 7 ) = 5 / 4x 5 / 7 = 5 / 4x Divide both sides by 5 1 / 7 = 1 / 4x Multiply both sides by x x / 7 = 1 / 4 Multiply both sides by 7 x = 7 / 4 = 1.75

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