MATHEMATICS HIGH SCHOOL

What is the next fraction in each of the following patterns?1/40,4/40,9/40,16/40,25/40...?

Answers

Answer 1
Answer: let
a1=1/40
a2=4/40
a3=9/40
a4=16/40
a5=25/40
a6=?

we know that
a2-a1=4/40-1/40----> 3/40
a3-a2=9/40-4/40-----> 5/40
a4-a3=16/40-9/40----> 7/40
a5-a4=25/40-16/40---> 9/40

the difference is
3/40,5/40,7/40.9/40,....
3/40+[2/40]---> 5/40
5/40+[2/40]---> 7/40
7/40+[2/40]---> 9/40

the next will be
9/40+[2/40]-----> 11/40
so
the next term is 25/40+[11/40]------> 36/40

the answer is
36/40

Related Questions

5x+y=2 find an order pair for x,y
Determine the value of x. DO,k(x, 9) → (–10, –6)
Jackie scored 82 and 88 on her first two quizzes. Write and solve a compound inequality to find possible values for a third quiz score that would give her an average between 80 and 85, inclusive.a. 80 <= 82 + 88 + n / 3 <= 85; 70 <= n <= 85b. 70 <= 82 + 88 + n / 3 <= 85; 80 <= n <= 85c. 80 <= 82 + 88 + n / 3 < 85; 70 < n < 85d. 82 <= 80 + 85 + n / 3 <= 88; 70 <= n <= 85
63360 inches, and the risers of the steps of the capitol building are 8 inches high. Barry is visiting the capitol, and as he climbs up from the one-mile step, his altitude above sea level, in inches, is given by the following sequence: 63,360, 63,368, 63,376, 63,384, 63,392, ... What is Barry's altitude above sea level, in inches, when he is standing on the 55th step above the one-mile step (counting the one-mile step itself as step #1)?
The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2 2x + y = 8 x + y = 4 The lines whose equations are given intersect at (4, 0) (0, 4) all points on the line The points (2, 1), (3, 3), (4, 5), and (5, 6) are collinear. a. Trueb. False

Solve: (they're fractions) 3/6x + 1/2=8/x+4/3 The answer is -9 but i dont know how to solve it. Work please or explanation why. Thanks.

Answers

3/6x + 1/2 = 8/x + 4/3   I'm going to make common denominators so - 

                                          3/6x + 3/6 = 48/6x + 8/6
                                         - 3/6x             -3/6x
 
                                            3/6 = 45/6x +8/6
                                           -8/6               -8/6

                                           -5/6 = 45/6x 
                                            ·6x      6x

                                            -5x = 45
                                         ÷ -5      ÷ -5

                                            x = -9

                                           
                                   

What is the LCM of 12,30,42

Answers

Answer:

i think this answer is also helpful for you

The multiplication property of equality could be used to solve which of the following equations?(x + 2)(x - 3) = 0
m + 7 = -12
b ÷ (-2) = 18
-3 + y = 7

Answers


b ÷ (-2) = 18
hope it helps
well
first one doesn't need that property
2nd one needs subtraction property of equality
third one can use it
fourth one needs addition property of equality


3rd one is answer
b/-2=18 is answer

Four books, one each on physics, chemistry, mathematics, and biology are about to be stacked on a shelf. If the books are stacked randomly, what is the probability the mathematics book is on top?

Answers

There are 4 books.
The math book can either be top, second from top, third from top, or on the bottom.
The probability of being in any single given position is 1/4 = 25% .
Since each book can be put on the top, and there are 4 books, the chances of a math book going on the top is 1/4, while the other 3 chances are the other books. So your answer is 1/4 or 0.25

2. If a circle has the diameter of 8, what is the circumference?

Answers

Since diameter is 8 the circumference is 8 pi
3.14 is the circumference and the diameter is 8 ,diameter is half of a radius so you have to do 3.14 times 16 and that's you circumference
answer:50.24

Sarah and her three friends are decorating picture frames with ribbon. They have 3 rolls of ribbon to share evenly. How does this situation represent division?

Answers

Let's see here. Sarah is one person. Her three friends are three more. That means 4 people are decorating picture frames. However, we only have 3 rolls of ribbon! We can give an entire roll to each person, but one person would have no roll to decorate with! What do we do? We have to divide this. By definition, divide means to separate something(in this case, ribbon rolls) into (equal) parts. So, we must divide them so everyone gets an EQUAL ribbon roll length.
Other Questions
Tara's player for cds the length of the cds are 45 minutes 52 minutes 38 minutes and 47 minutes if it takes her 2 minutes to change each cd how long will it take to play all four cds
Divide 7/15 by 3/5.     A. 21/75B. 75/21C. 7/25D. 7/9
At a back to school sale, backpacks are marked down 15%. If the original price was $34, what is the sale price?
Which graph represents the solution to the system of inequalities?x + y ≤ 4y – x ≥ 1