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kvv77 [185]
3 years ago
5

The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in th

is sequence?
Mathematics
1 answer:
Over [174]3 years ago
8 0
Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.
You might be interested in
What does -m+8=4m-7<br>equal <br>​
Olegator [25]

Answer:

3

Step-by-step explanation:

-m+8=4m-7

8=4m-(-m)-7

8=4m+m-7

8=5m-7

5m=8+7

5m=15

m=15/5

m=3

5 0
3 years ago
Read 2 more answers
Perform the indicated operation. 15b/4 * 8/9a^2b^2
Sergio [31]

Answer:

The simplified expression is \frac{10}{3 a^2 b}

Step-by-step explanation:

The given expression is:

\frac{15b}{4} * \frac{8}{9a^2 b^2}

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

= \frac{120b}{36 a^2 b^2} \\\\

Divide both the numerator and the denominator by 12b:

= \frac{120b /12b}{36 a^2 b^2/12b}

The expression finally becomes:

= \frac{10}{3 a^2 b}

7 0
3 years ago
Can you simplify all of these questions please
VMariaS [17]
<h3>step by step:</h3>

-3(p-1)+9p+2

  • -3p+3+9p+2
  • -3p+9p,+3+2
  • 6p+5

10-4(m+1)

  • 10-4m-4
  • 6-4m
  • 2(3-2m)

4g-2g-3(g-2)

  • 4g-2g-3g+6
  • 2g-3g+6
  • -g+6

hope it helps

stay safe healthy and happy.

6 0
3 years ago
Read 2 more answers
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
ICE Princess25 [194]
A.
s=number of strawberry wafers
c=number of chocolate wafers

3s+1c=30
s+c=22

B.
multiply 2nd equation by -1 to do elimination
add to the first equation

3s+1c=30
<u>-s-c=-22 +</u>
2s+0c=8

2s=8
divide by 2
s=4

sub back
s+c=22
4+c=22
c=18

I used elimiation because it seemed right for this one



I can also do subsitution

3s+1c=30
s+c=22
minus s both sides in 2nd equation

c=22-s
sub for c in other equation
3s+22-s=30
2s+22=30
minus 22 both sides
2s=8
divide by 2
s=4
and now
c=22-s
c=22-4
c=18

substiotion because it's easier for some people to see

18 chocolate
4 strawberry
5 0
4 years ago
CAN SOMEONE HELP ME PLEASE ASAP!?
Andrews [41]

Answer: 69

Step-by-step explanation:

The two angles are a linear pair, which means that they lie on the same line. Therefore, you just have to substract angle 1 with 180.

180-111=69

5 0
3 years ago
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