MATHEMATICS COLLEGE

Write 2 equivalent ratios for each ratio given:
2/7
3:3 1/2

2.5 to 6

Answers

Answer 1
Answer:

Answer:

2/7 = 4/14

3:3 = 6:6

1/2 = 2/4

2.5:6 = 5:12

Step-by-step explanation:

For the first one, we can multiply the numerator and denominator of the fraction by 2 to get an equivalent fraction which is 4/14

For the second one we can multiply each side by 2 to get the ratio of 6:6

For the third one we can multiply the numerator and denominator by 2 to get 2/4

For the last one we can multiply each side by 2 to get 5:12

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That’s the question?

Question:Fibonacci 1. Here are the first 5 terms of a quadratic sequence.
1
3
7
13
21
Find an expression, in terms of n for the nth term of this quadratic sequence.

Answers

9514 1404 393

Answer:

  n² -n +1

Step-by-step explanation:

First differences of the terms of the sequence are ...

  3-1 = 2

  7-3 = 4

  13-7 = 6

  21-13 = 8

Second differences are ...

  4-2 = 2

  6-4 = 2

  8-6 = 2

In a quadratic sequence the coefficient of the squared term is half of the second difference value. Here, that means the squared term will be (2/2)n² = n².

__

We can find the other terms of the quadratic expression by considering the differences between n² and the actual sequence.

The sequence of n² terms is ...

  1, 4, 9, 16, 25

When we subtract these from the actual sequence, we get ...

  1-1 = 0

  3-4 = -1

  7-9 = -2

  13-16 = -3

  21-25 = -4

That is, the amount subtracted from n² is one less than the term number.

The expression for the n-th term is ...

  an = n² -n +1

Someone please answer!

Answers

Answer:

m=1/2

Step-by-step explanation:

y1= 1

y2=6

x1= -10

x2-0

m= slope

m= y2-y1/x2-x1

m=6-1/0 - - 10

m= 6-1/0+10

m=5/10

m=1/2

Find the unit rate.3
1
4
gallon for every
mile
10
The unit rate is
gallon :
mile.

Answers

Answer:

22/40

Step-by-step explanation:

find the equivalent ratio of 4 and 10 and it is 40 so the then you multiply 4 times 10 and 10 times 4 then you multiply 1x10 and 10x4 so now your new problem will be

10/40+12/40 which is 22/40=1 8/15

A bag contains 6 red marbles, 3 blue marbles and 7 green marbles. If three marblesare drawn out of the bag, what is the probability, to the nearest 1000th, that all three
marbles drawn will be red?

Answers

Answer: 0.036

Work Shown:

6 red, 6+3+7 = 16 total

A = 6/16 = probability of getting red the first time

after you pick 1 red, there's 6-1 = 5 left out of 16-1 = 15 total

B = 5/15 = probability of getting red the second time

then you repeat: 5-1 = 4 red left out of 15-1 = 14 total

C = 4/14 = probability of getting red the third time

B and C are dependent on A, C is dependent on B. This is assuming we do not put any marbles back.

Multiply out the fractions found

A*B*C = (6/16)*(5/15)*(4/14) = 0.0357 which rounds to 0.036 when rounding to the nearest thousandth.

A small hard drive measured 0.7553 centimeters across round to the nearest tenth

Answers

Answer:

0.8

Step-by-step explanation:

7 is in the tenth place since there is a 5 in the hundreds we round up to 8.

hope this helped =3
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