1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotegsom [21]
3 years ago
13

Three numbers X, Y, and Z are in the ratio 2:7:8. If 12 is subtracted from Y, then three numbers form a geometric sequence (in t

he order X, Y–12, Z). Find X, Y, and Z.
Mathematics
1 answer:
Dimas [21]3 years ago
3 0
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if  X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
   16k²= 49k²-168k +144
  33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number  to find the values of X,Y and z,
X= 8, Y= 28 and Z=32 
You might be interested in
What fractions are equivalent to 40
Triss [41]

40/1 = 80/2 = 120/3 = 160/4 = 200/5 = 240/6 = 280/7 = 320/8 = 360/9 = 400/10 = 440/11 = 480/12 = 520/13 = 560/14 = 600/15 = 640/16 = 680/17 = 720/18 = 760/19 = 800/20

If that helps?

4 0
3 years ago
Read 2 more answers
The correct digit 7869 =. Thousand
zzz [600]
7 in 7,000 in 7,869. Hope this helps!
4 0
3 years ago
Read 2 more answers
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They
amm1812

Answer:

A Maximum of 60 Pieces of Fried Chicken

Step-by-step explanation:

32 pieces ÷ 25 guests = 1.28 pieces per guest.

Therefore, 1.28 pieces per guest × 45 guests = 57.6 pieces of Fried Chicken should be ordered. (60 Pieces instead, for accuracy)

5 0
2 years ago
Given f(x) = 5x + 5 and g(x) = 6x + 1
wariber [46]

     •   f(x) = 5x + 5

     •   g(x) = 6x + 1


Now, you just sum those functions:

     (f + g)(x) = f(x) + g(x)

     (f + g)(x) = (5x + 5) + (6x + 1)

     (f + g)(x) = 5x + 6x + 5 + 1

     (f + g)(x) = 11x + 6


Therefore,

     (f + g)(– 8) = 11 · (– 8) + 6

     (f + g)(– 8) = – 88 + 6

     (f + g)(– 8) = – 82   <———   this is the answer.


I hope this helps! =)

4 0
3 years ago
Help please i need help
Artist 52 [7]

Answer: 21

Step-by-step explanation: hope this helps :)

7 0
3 years ago
Other questions:
  • You scored a 95% on your math quiz the quiz was out of 60 points how many points did you get
    13·2 answers
  • Complete the graph based on the table
    6·1 answer
  • The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 6 millimeters. One of the base legths of the tr
    6·1 answer
  • How many gallons of oil can a cylindrical tank with diameter 120 feet and height 60 feet hold?
    7·2 answers
  • How do we change from radians to degrees?
    15·1 answer
  • How many hours in 2 years
    12·2 answers
  • Find the equation of this line​
    13·2 answers
  • 8- (-7) = help ASAP
    12·2 answers
  • Hewo please <br> help me :D will give correct answer brainliest.
    7·2 answers
  • The population of a nearby town dropped from 7,500 to 6,000 in one year.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!