Free SAT2-MATHEMATICS Exam Dumps Preview

The number of roses, 5x, plus the number of tulips, 6x, is equal to 242 total flowers: 5x + 6x = 242, 11x = 242, x = 22. There are 5(22) = 110 roses and 6(22) = 132 tulips in Lindsay's garden.

No matter whether p is positive or negative, or whether p is a fraction, whole number, or mixed number, the absolute value of three times any number will always be positive and greater than the absolute value of that number.

Let 3x equal the number of four-person booths and let 5x equal the number of two-person booths. Each four-person booth holds four people and each two-person booth holds two people. Therefore,

There are (7)(3) = 21 four-person booths and (7)(5) = 35 two person booths.

There are 180 degrees in a line: (x + (supplement of angle x)) + (y + (supplement of angle y)) + (z + (supplement of angle z)) = 540. The supplement of angle x, the supplement of angle y, and the supplement of angle z are the interior angles of a triangle. There are 180 degrees in a triangle, so those supplements sum to 180. Therefore, x + y + z + 180 = 540, and x + y + z = 360.

Set M contains the positive factors of 8: 1, 2, 4, and 8. Set N contains the positive factors of 16: 1, 2, 4, 8, and 16. The union of these sets is equal to all of the elements that are in either set. Since every element in set M is in set N, the union of N and M is the same as set N: {1, 2, 4, 8, 16}.

Substitute -3 for x and solve for y:

The midpoint of a line is equal to the average of the x- and y-coordinates of its endpoints. The average of the x-coordinates

The average of the y-coordinates

The midpoint of this line is at (3, -4).

The volume of a cylinder is equal to h, where r is the radius of the cylinder and h is the height of the cylinder. If the height of a cylinder with a volume of 486 cubic units is six units, then the radius is equal to:

A cylinder has two circular bases. The area of a circle is equal to r2, so the total area of the bases of the cylinder is equal to 2r2, or 2(9)2 = 2(81) = 162 square units.

The area of a triangle is equal to where b is the base of the triangle and h is the height of the triangle. The

base and height of an isosceles right triangle are equal in length. Therefore,

When a base is raised to a fractional exponent, raise the base to the power given by the numerator and take the root given by the denominator. Raise the base,a, to the bth power, since b is the numerator of the exponent. Then, take theth rooth of that:

Write the equation in quadratic form and find its roots:

Line OB line OC, which means the angles opposite line OB and OC (angles C and B) are congruent. Since angle B = 55 degrees, then angle C = 55 degrees. There are 180 degrees in a triangle, so the measure of angle O is equal to 180 ?(55 + 55) = 180 ?110 = 70 degrees. Angle O is a central angle. The measure of its intercepted arc, minor arc BC, is equal to the measure of angle O, 70 degrees.

At the start, there are 5 + 3 + 2 = 10 pens in the box, 3 of which are black. Therefore, the probability of selecting a black pen is 3/10 After the black pen is removed, there are nine pens remaining in the box, five of which are blue. The

probability of selecting a blue pen second is 5/9 To find the probability that both events will happen, multiply the probability of the first event by the probability of the second event:

The volume of a prism is equal to lwh, where is the length of the prism, w is the width of the prism, and h is the height of the prism:

The length of the prism is2(3) = 6 mm, the width of the prism is6(3) = 18mm, and the height of the prism is5(3)=15mm.

The positive factors of 180 (the positive numbers that divide evenly into 180) are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. Of these numbers, 8 (6, 12, 18, 30, 36, 60, 90, and 180) are multiples of 6.

Triangles ABC and BED have two pairs of congruent angles. Therefore, the third pair of angles must be congruent, which makes these triangles similar. If the area of the smaller triangle, BED, is equal to ,

then the area of the larger triangle, ABC, is equal to

or 25 .
The area of triangle ABC is 25 times larger than the area of triangle BED. Multiply the area of triangle BED by 25: 25(5a2+ 10) = 125a2+ 250.

The function f(x) is equal to-1 every time the graph off (x) crosses the line y = -1. The graph off(x)crosses y
= -1 twice; therefore, there are two values for which f(x) = -1.