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lisabon 2012 [21]
3 years ago
8

Which ratio is equivalent to 3:7? 9:21 12:30 18:28 21:27​

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Step-by-step explanation:

9:21 is equivalent to 3:7.

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Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths
nadya68 [22]
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
6 0
3 years ago
Algebra applications: find the value of x and y​
Inga [223]

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

5x-y+150=180       ...........(1)

5x-y=180-150

5x-y=30      ............(2)

5x+y+130=180       ...........(3)

5x+y=180-130

5x+y=50        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

5x-y+5x+y=30+50

10x=80

x=8

Now we are putting the value of x in 4, we get the value of y.

5x+y=50

5(8)+y=50

y=50-40

y=10

Therefore, the value of x and y is 8 and 10 respectively.

3 0
3 years ago
SA = 2tr2 + 2trh
astra-53 [7]

Answer:

302

Step-by-step explanation:

6 0
3 years ago
Martin earned the following scores on his last five tests.
Arada [10]
IQR= 18 is the interquartile range of his scores.
8 0
3 years ago
Melvin is helping his teachers plan a field trip. There are 255 people going on the field trip and each school bus holds 56 peop
anzhelika [568]

255/56 = 4.55....

You can't have 0.55... buses so you round that up to 1.

Therefore 4+1 = 5 so 5 buses would be the minimum.

5 0
3 years ago
Read 2 more answers
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