2,690 Answered Questions for the topic SAT math
Phone rates, money
A long distance carrier charges a flat rate of $.09 per minute for telephone calls. A second carrier charges $.30 for the first minute and $.06 for each additional minute. After how many minutes...
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Sat Math
01/07/20
For each value of w, determine whether it is a solution to 32=24+w
Sat Math
01/07/20
Math question help
Construct a 95% confidence interval of the population proportion using the given information.x=45, n=150The lower bound is The upper bound is
A square rug has area 49x^2 – 56x +16 . A second square rug has area 16x^2 + 24x + 9. A) What expression can be written
for the difference in rug areas? B) What significance does the variable x have with respect to the areas of the rugs, and C) what significance do the roots of the expression for the difference of...
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Calculating the area of a minimum-area triangle . Two lines with equations: y = 2 – (1/2)x and (x-1) = 2 (y-1) respectively are graphed on a Cartesian plane.
A line is drawn through the point (2, -1) which intersects the two previous lines to give a triangle of minimum area, with the point (2,-1) included in one side of that triangle. What is that area?
01/05/20
The Area of a triangle is 80 cm^2, Perimeter is 8 cm, so what is the length of the radius of the inscribed circle?
Choices:A)5 cmB)10cmC)20cmD)None of these
Can one calculate area from a sloped square (as below)?
A unit square, laid out with horizontal and vertical edges, is rotationally-symmetrically sectioned by diagonal segments from each corner to an opposite side such that a smaller interior square is...
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Sat Math Math
01/04/20
Why no quick check for divisibility by 7?
Quick rules posters for checking divisibility of numbers by integers 2 through 9 never give a quick rule for divisibility by 7. What is the best explanation of the reason for this?
A ball falls (initially at rest) from a height of 10m, and bounces repeatedly.
On each successive bounce, the ball rises only 2/3 as high as on its previous bounce (due only to energy dissipation on impact). The vertical height attained, and the time required to complete each...
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01/04/20
How many gallons of acid must be added to G gallons of a k% acid solution to bring it up to an m% solution?
A: G/(100-m)B: Gm/(100-m)C: G(m-k)/(100-m)D: 100-m/G(m-k)
Determining equations for distance and rate formulas.
Two cyclists leave towns 90 miles apart at the same time and travel towards each other. One cyclist travels 5 miles slower than the other. If they meet in 2 hours, what is the rate of each cyclist?
Sat Math Math
01/03/20
Which of the functions below have a local maximum for the function in the x = (0, +∞) domain?
Functions are 1) x!/e^x 2) e^x/x! 3) x^1000000/e^x 4) x^1000000/1000000! 5) 1000000!/x!Possible multiple choices are: A) 1, 2, and 3 B) 2, 4, and 5 ...
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01/03/20
Aaron plays a game in which in round 1, he automatically wins $1. Each successive round, he wins or loses twice the amount of the previous round, with the win or loss randomly chosen.
He may declare in advance of play that he will drop out after a certain number of rounds. How much should he expect to win on the average, and how many rounds should he choose (in advance) to...
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Sat Math Math
01/03/20
A large number of birds are sitting on a set of 5 electrical wires as follows.
The five horizontal wires are separated in a vertical plane, and birds are arranged on them according to the following rule: The number of birds on each wire equals twice the total of the birds on...
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A line segment on the number line from 0 to 1 is marked at points corresponding to log [1, 2, 3, ..., 10], thus dividing it into 9 adjacent segments.
The length of the longest such segment minus the length of the shortest such segment represents which value among these choices: log(9/2) , log(18), log (2/9), log (1.8), or log(9^2) ?
You must cross a wide field, which is paved with circular flagstones, travelling only between centers of the stones. How far must you walk?
The circular flagstones are arranged tangent to each other in the closest possible packing, i.e. with six stones surrounding each stone. The field width is W. Neglect the perturbations caused by...
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How do you add velocities of objects with multiple frame-of-reference corrections?
On a spherical planet of equatorial circumference 36,000 km, which rotates once/24 hr (west->east, like the Earth), a train is traveling due east (relative to the planet surface) at 200 km/hr at...
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How many integer ordered (x,y) pairs represent possible solutions to a set of (x,y) condition inequalities?
How many ordered pairs of integers represent possible solutions to the set of conditions:y > (1/10)x + (1/10)y < 5 – 0.99xy < -1 + 1.1x
01/02/20
In a system of pressure-assisted pumps linking 3 tanks, what are the steady-state tank volumes achieved, given an initial volume of 10 gallons in tank A?
A system of 3 tanks (A, B, and C) are linked by 6 pressure-assisted pumps. From tank A, a pump pumps 0.1 gallon/minute per gallon in tank A, to tank B. Another pump pumps 0.2 gallons/minute per...
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Sat Math
01/01/20
Sat question (Answer is 6)
An after-school sewing club has 120 yards of fabric to divide equally among the members of the club. When two more students join the club at the last minute, each member gets 5 fewer yards of...
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