The volume of a glass of water placed in the sun decreases by 20%. If there are 240 mL of water in the glass now, what was the original volume of water in the glass?
Answer(s): D
The original volume of water, x, minus 20% of x, 0.20x, is equal to the current volume of water, 240ml:
What is the tenth term of the pattern below?
Answer(s): E
Each term in the pattern is equal to the fraction2/3raised to an exponent that is equal to the position of the term in the sequence. The first term in the sequence is equal to , the second term is equal to
How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?
Answer(s): C
The equation is undefined when
Answer(s): A
An equation is undefined when the value of a denominator in the equation is equal to zero. Set x2 7x +18 equal to zero and factor the quadratic to find its roots:
In the diagram above, angle A is congruent to angle BED, and angle C is congruent to angle D. If the ratioof the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 + 10, what is area of triangle ABC?
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 or25 . The area oftriangle ABC is 25 times larger than the area of triangle BED. Multiply the area of triangle BED by 25:25(5a2+ 10) = 125a2+ 250.
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