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
Simplify the polynomial (4n2 + 3n - 5) - (2n2 + 3n+ 6)
saul85 [17]

Answer:

2n^2 - 11

steep by steep explanation

=(4n^2 + 3n -5) -(2n^2 + 3n +6)

= 4n^2 +3n -5 - 2n^2 - 3n -6

= 2n^ - 11

3 0
3 years ago
Read 2 more answers
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store.
alekssr [168]
2.28 devide 9.5
=0.24
7 0
3 years ago
(x - 5)(x + 2) Polynomial
olya-2409 [2.1K]
X^2-3x-10. You solve it by foiling. I attached a photo explaining how to do it.
7 0
3 years ago
What are the solutions to m^2 – 9 = 0? a. m = –9 and m = 0 b. m = –3 and m = 3 c. m = –3 d. m = 9
marysya [2.9K]
2 ways
zero product property
easy way

zero product
factor perfect square
m^2-3^2=0
(m-3)(m+3)=0
set each to zero
m-3=0
x=3

m+3=0
m=-3

m=-3 or 3

easy way
add 9 to both sides
m^2=9
sqrt both sides remember to take postive and negative roots
m=+/-3
m=-3 or 3


B is answer

5 0
3 years ago
A tortoise and a hare are competing in a race around a 1600-meter track. The arrogant hare decides to let the tortoise have a 78
Sindrei [870]
I am presuming that the question is who won or by how much did the winner win. 

distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
   1600 = 10 t 
Divide both sides by 10 
t = 160
The hare finished in 160 seconds

For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)

The tortoise won by 5. 28 seconds (160-154.72)
 
6 0
3 years ago
Read 2 more answers
Other questions:
  • If 10 percent of your day is spent studying, how many hours do you devote to studying? Use 24 hours as the length of a day.
    12·1 answer
  • What is one sixth of a straight angle?
    15·2 answers
  • What is half of 16 3/4
    8·1 answer
  • In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Scar
    13·1 answer
  • A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day fo
    9·1 answer
  • If 7% of a number equals 9, find 70% of that number.<br> i need it rn
    13·2 answers
  • Help with my homework ​
    12·1 answer
  • for p(x)= 192 + 21x^3 + 54x^2 - 3x^4 - 264x, use synthetic substitution to evaluate p(1), p(-2), and p(8)
    14·1 answer
  • Solve the inequality and graph its solution.
    15·1 answer
  • Peter has a tire with a diameter of 26 inches. How many inches is the radius of his tire?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!