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maksim [4K]
3 years ago
11

What do the fractions 10/16; 15/24; 20/32; 25/40; and 30/48 have in common?

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

The Highest Common Factor is 8

Step-by-step explanation:

This is called ' Highest Common Factor'

Considering the denominators which are 16, 24, 32, 40 and 48

16 = 2×2×2×2

24 = 2×2×2×3

32 = 2×2×2×2×2

40 = 2×2×2×5

48 = 2×2×2×2×3

What they have in common most is 2×2×2 = 8

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A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first fou
hoa [83]

Answer:

<em>{9,19,39,79}</em>

Step-by-step explanation:

<u>Recursive Sequences</u>

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

f(n) = 2f(n-1)+1

f(1) = 4

To find the first four terms of the sequence, we set n to the values {2,3,4,5}

  • For n=2

f(2) = 2f(1)+1

Since f(1)=4:

f(2) = 2*4+1

f(2) = 9

  • For n=3

f(3) = 2f(2)+1

Since f(2)=9:

f(3) = 2*9+1

f(3) = 19

  • For n=4

f(4) = 2f(3)+1

Since f(3)=19:

f(4) = 2*19+1

f(4) = 39

  • For n=5

f(5) = 2f(4)+1

Since f(4)=39:

f(5) = 2*39+1

f(5) = 79

4 0
3 years ago
I need help with this
cupoosta [38]

Answer:

x=45

Step-by-step explanation:

This is a triangle so it interior degrees will add up to 180.

W

Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.

We can find OAC by using the triangle interior theorem,

45 + 90 + x = 180

135 + x = 180

x = 45

3 0
3 years ago
A new curved screen TV costs $3,508.80. A family makes a down payment of $450 and pays off the balance in 24 equal monthly payme
77julia77 [94]

Answer:

$127.45

Step-by-step explanation:

First, subtract 450 from 3,508.80:

3,508.80 - 450 = 3058.8

Then, divide this by 24 to find the monthly payment:

3058.8/24

= 127.45

So, the monthly payment was $127.45

5 0
3 years ago
Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If
Sliva [168]
Let:
Philadelphia be point a
Pittsburgh be point b
Distance traveled by Michelle be x
Distance traveled by Rich be 305 x

The general formula is:
distance = velocity (time)

substituting the values:
michelle: X = 65(t)
rich: 305 - X = 70 t

substituting both equations gives:
X = 146.562 miles

t = 2.26 hours or 2 hours and 15 mins
4 0
4 years ago
How do I do this? <br><br>f(a)=4a+5; Find f(2)
Mariana [72]
F(2)=4(2)+5
f(2)=8+5
f(2)=13
6 0
3 years ago
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