let the length of the three sides be a, b, and c. The volume is: V = abc Now let's double side a so it's 2a. The new volume is: Vnew = 2abc = 2V where V is the original volume...

Math question (answer)

let the length of the three sides be a, b, and c. The volume is: V = abc Now let's double side a so it's 2a. The new volume is: Vnew = 2abc = 2V where V is the original volume...

10m^6 n^3/20m^3 n^7 (answer)

I assume they want you to simplify the expression. (10m6n3)/(20m3n7) (10m6-3n3-7)/20 (10m3n-4)/20 m3/2n4

The general formula for the explicit form of an arithmetic sequence is: an = a1 + d*(n-1) where a1 is the starting value, d is the common difference, and n is the nth term in the sequence. In this problem, an represents the number of boxes sold in week n...

Assuming * is a multiplication, then: (3n)*5 + (1/2) * 2(3n-1) Distribute the 2 across the terms in parentheses 5*3n + (1/2)(2*3n - 2) Distribute the 1/2 across the terms in parentheses: ...

Line in standard form (answer)

Standard form: Ax + By = C To find the equation of the line, use the point-slope form: y - y1 = m(x - x1) y - (-6) = (-2)(x - (-4)) y + 6 = -2x - 8 y + 2x = -14 This is in Standard From

The ratio of pole to shadow is 6/3 = 2, so the ratio of the man's height to his shadow's length is also 2: height/4 ft 5.5 in = 2 height = 2*(4 ft 5.5 in) height = 8 feet 11 inches

volume of cube = s3 where s is the side length Volume of cylinder = pi*r2*l where r is the cylinder's radius and l is its length The volumes of the cube and the cylindrical wire must be the same. You know s, pi, and r. Set the two volumes equal and...

Using the same problem scenario from question 1, what is the percent of the percent equation? (answer)

part/whole = part%/whole% part/48 = 25%/100% part/48 = 0.25 part = (0.25)(48) Can you finish it from here?

Let x be the unknown angle. Its supplement is 180o-x. x is three times greater than its supplement: x = 3 (180o - x) x = 540o - 3x Solve for x.

Find cost of the dress (answer)

Let j = cost of a pair of jeans, d = cost of a dress, s = cost of a shirt. 3j + 5d + 6s = $888 j + d = $128 (so d = 128 - j) d = s + $20 (since d = 128 - j, then 128-j = s + 20 so 108 - j = s) 3j + 5d +...

They ate: 2 3/4 + 8 1/4 = 2 + 3/4 + 8 + 1/4 = 2 + 8 + 1/4 + 3/4 = 10 + 4/4 = 10 + 1 = 11...

Finding angles (answer)

Let x and y be the two unknown angles: Two angles are adjacent and form an angle of 160°: x + y = 160 Their difference is 34°: x - y = 34 x + y = 160 x - y = 34 -------------- 2x = 194 x = 97o x...

Let x = acres of corn planted and y = acres of oats. The revenue is: R = $127x + $51y The profit is revenue minus costs. The costs will be capital costs plus labor costs: C = $36x + $18y + $8*(8x +...

Solve the equation. (answer)

1. 4 = 3√(2x - 8) 43 = 2x - 8 64 = 2x - 8 72 = 2x 36 = x 2. (x2-1)2/3 +2 = 6 (x2-1)2/3 = 4 x2 - 1 = 43/2 ...

y = abt To find b, take the ratio of the two given points, (2,$4114) and (1,$3740): 4114/3740 = ab2/ab1 1.1 = b b = 1+r/n where r = rate (expressed as a decimal) n= the number of compounding per year = 1 (annual) 1...

How do you find the equation of an exponential function with only two points, (2,90) and (3,270)? (answer)

The general form for an exponential equation is f(x) = a*bx. To find the equation, you need to find the values of a and b. 1. To find b, take the ratio of f at the two known points, f(3)/f(2)): 270/90 = a*b3/a*b2 = b 3 = b ...

sets word problem (answer)

U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} B' = U - B = {1, 2, 3, 4, 5, 6, 7} - {1, 3, 5, 7} = {2, 4, 6} A U B' = {1, 2, 4, 5} + {2, 4, 6} = {1, 2, 4, 5, 6} (A U B')' = U - (A U B') = {1, 2, 3, 4, 5, 6, 7} - {1, 2, 4, 5, 6}...

I have no idea how to answer this... (answer)

Use the point-slope form for the equation of a line: y - y1 = m(x - x1) where: (x1,y1) is a known point on the line = (3,36) m is the line's slope = 12 y - 36 = 12(x - 3) Now convert it to the slope-intercept form, y = mx +...

Linear program (answer)

Let s = the number of soldiers produced each week and t = the number of trains, The Profit equation is: P = $4s + $2.5t The constraints are: 3s + 2t ≤ 120 (No more than 120 hours of finishing labor available per week) 2s +...

Let v = the number of vans and m = the number of motorcycles. The ratio of the number of vans to the number of motorcycles is 11:15 v/m = 11/15 v = (11/15)m Each van has 4 wheels and each motorcycle has 2 wheels.All of the vans and motorcycles have a total...

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