You have to do a part:whole ratio. 3 boys + 1 girl = 4 students, so: (3 boys)/(4 students) = (x boys)/(236 students) Solve for x.

You have to do a part:whole ratio. 3 boys + 1 girl = 4 students, so: (3 boys)/(4 students) = (x boys)/(236 students) Solve for x.

How much does she weigh? (answer)

Her height is reduced by a factor of 12 (5.5 in/66 in). Her weight, which depends on her volume, will be reduced by a factor of 1/123: Weight = (125 lbs)/123 = 125/1728 = 0.0723 lbs = 1.16 ounces

Use the chain and product rules: dy/dx = dy/du · du/dx = (12u - 10)·(-2/x3) = (12/x2 - 10)(-2/x3) = -24/x5 + 20/x3 To evaluate at x = 1/4, just plug in 1/4 in place of x in dy/dx: dy/dx = -24/(1/4)5 + 20/(1/4)3 = ____?

What number goes into 40 and 158 (answer)

Your question is unclear, but: Prime factors of 40 = 5·2·2·2 Prime factors of 158 = 2·79 Greatest Common Factor = 2

g(x) = x2 g(x+h) = (x+h)2 = x2 + 2hx + h2 f(x) = -x + 1 f(x+h) = -(x+h) + 1 = -x - h + 1

Total Bill = {5·(18.65) + (60/12)·(16.50) + 1·(35.80)} · (1.15)

Let x be the estimated population of foxes. Now set up a proportion: 6/100 = 150/x Cross multiply and solve for x.

Since angles 1 and 2 are supplementary, we know that: m∠1 + m∠2 = 180° Now m∠1:m∠2=5:4 is a measure of part1:part2. The whole = part1+part2 = 5+4 = 9. So m∠1 = (5/9)(180°) and m∠2 = (4/9)(180°). Can you finish it?

B times 12 is at least 17 (answer)

12·B ≥ 17 "at least 17" means 17 or greater. To solve for B, divide both sides of the inequality by 12: B ≥ 17/12

Summary of equations (answer)

The sum of the measures of angle A and Angle B is 90: A + B = 90 Angle A is 30 less than twice angle B: A = 2B - 30 In the first equation, substitute 2B - 30 in place of A: ...

y = -2x2 + 84x You can solve this algebraically or with calculus. First the algebraic solution. Because the coefficient of the x2 term in negative (-2), this is an inverted parabola with the vertex at the top. Hence the vertex will be the largest value of the...

f(x) = (-32x2/16900) + x = (-8/4225)x2 + x This is a quadratic function, so its graph is a parabola. In fact, it is a very large parabola, so at small scales it looks like a line. Zoom out and you will see the parabolic shape.

A pedestrian left his house and started walking on a straight street, resting at times as necessary. (answer)

Without the graph of distance vs. time, I can't solve this for you. However, the graph probably consists of a set of line segments. The horizontal segments are when the pedestrian is at rest and the others are when he is walking. The speed on each interval of time is equal to the...

SUPPLENET ANGLES (answer)

Supplementary angles add to 180 degrees. Let θ be the angle supplementary to the angle whose measure is (6x - 5) degrees. θ + 6x - 5 = 180 Solve for θ.

Find the length of arc subtended by a central angle of 50 degrees on a circle of radius 4 feet (answer)

When the central angle is given in degrees, the formula for the arc length is: s = r·θ·pi/180 where: s = the arc length r = radius = 4 feet θ = the central angle in degrees = 50° pi = 3.14 s = (4·50·3.14)/180 =...

The minimum value for the union of A and B would occur when B is a proper subset of A; that is, all 45 elements in set B are already in set A. So: n(A U B) = 63 That would be the minimum value for A U B.

1 meter to 25 cm (answer)

1m = 100 cm Scale factor = (25 cm)/(100 cm) = 1/4 Reduces to 1/4 scale

6r2 + 5rp - 21p2 You want two numbers that multiply to give 6*(-21) = -126 and add to give 5. Answer is 14 and -9 (14*(-9) = -126 and 14 + (-9) = 14 - 9 = 5). 6r2 + 5rp - 21p2 6r2 + 14rp...

2b(1/2x+6) solve (answer)

Hi Autum, one can only solve equations and what you have given us is an expression, not an equation. Equations have = signs. All we can do with the expression is simplify it a bit by factoring a 2 out of the denominator: 2b(1/(2x+6) = 2b/(2x+6) = 2b/(2(x+3)) = b/(x+3) If...

Let x be the unknown number. A number divided by 4, x/4 equals, = Eight subtracted from the number, x-8 x/4 = x - 8 Solve for x.