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A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3. What is the sum of the numerator and the denominator of the original fraction? A. 49 B. 35 C.28 D. 16 E. 21 Need a step by step solution Thanks

There were 36.000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441.000 copies of the novel were sold in all, how many paperback copies were sold? (A) 45.000 (B) 360.000 © 364.500 (D) 392.000 (E) 396.900 I nedd a step by step solution. Thanks!

9.If A1=-1, A2=1, A3=A2-A1, A4=A3-A2 ….An = An-1 – An-2 what is the sum of A1 to A1000=? a)0 b)1 c)2 d)3 e)4 I nedd a step by step solution. Thanks!

the sum of 10 consecutive integers is 1005 how many of the numbers are prime? If an = an + 1 + 1 and the sum of the first 99 numbers is 99 what does an and a1 equal? I need a step by step solution! Thanks

What is the sum of the first 50 positive numbers that when divided by 8 leave a remainder of 4? I need a step by step solution! Thanks

The area of an equilateral triangle is 9.what is the area of it circumcircle. A.10π B.12π C.14π D.16π E.18π Could anybody give me a step by step solution? Thanks

Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took biology as an elective, 1/3 of the students took chemistry as an elective, and all of the other students took physics. In this year, 1/3 of the students who took biology and 1/4 of the students who took chemistry left school, other students did not leave, and no fresh student come in. What fraction of all students took biology and took chemistry? A. 7/9 B .6/7 C.5/7 D.4/9 E.2/5 Could anybody give me a step by step solution? Thanks

Two numbers are less than a third number by 30% and 37 % respectively. How much percent is the second number less than the first? a) 10% b) 7% c) 4% d) 3% Could anybody give me a step by step solution? Thanks

. A set of numbers has the property that for any number t in the set, t + 2 is in the set. If –1 is in the set, which of the following must also be in the set? I. –3 II. 1 III. 5 A. I only B. II only C. I and II only D. II and III only E. I, II, and III Could anybody give me a step by step solution? Thanks

A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s? (A) 12 (B) 14 © 16 (D) 18 (E) 20 Could anybody give me a step by step solution? Thanks

If Bob and Jen are two of 5 participants in a race, how many different ways can the race finish where Jen always finishes in front of Bob? Could anybody give me a step by step solution? Thanks

Seven men and seven women have to sit around a circular table so that no 2 women are together. In how many different ways can this be done? a) 24 b) 6 c) 4 d) 12 e) 3 Could anybody give me a step by step solution? Thanks

Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10? 3 4 5 6 7 * Could anybody give me a step by step solution? Thanks

. Kurt, a painter, has 9 jars of paint: 4 are yellow 2 are red rest are brown Kurt will combine 3 jars of paint into a new container to make a new color, which he will name accordingly to the following conditions: Brun Y if the paint contains 2 jars of brown paint and no yellow Brun X if the paint contains 3 jars of brown paint Jaune X if the paint contains at least 2 jars of yellow Jaune Y if the paint contains exactly 1 jar of yellow What is the probability that the new color will be Jaune a) 5/42 b) 37/42 c) 1/21 d) 4/9 e) 5/9 Could anybody give me a step by step solution? Thanks

A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s? (A) 12 (B) 14 © 16 (D) 18 (E) 20 Could anybody give me a step by step solution? Thanks