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
olga55 [171]
3 years ago
12

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

What are the three numbers?
Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

You might be interested in
How do you solve 7.2&gt;0.9(n+8.6)
labwork [276]
7.2>0.9(n+8.6)
multiply 0.9 by all in parentheses

7.2> (0.9*n) + (0.9*8.6)
7.2> 0.9n + 7.74

subtract 7.74 from both sides
-0.54> 0.9n

divide both sides by 0.9
-0.6> n

ANSWER: -0.6> n

Hope this helps! :)
6 0
3 years ago
Which equation is linear?<br><br> a<br> xy = 60<br><br> b<br> y + 1 = x<br><br> c<br> 3x – 2y = 5
Firlakuza [10]

Answer:

equation B is linear. A linear equation will not contain exponents.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help please!!! WILL GIVE BRAINLIEST!!!!!!!!!!
telo118 [61]

Answer:

640

Step-by-step explanation:

8^2 = 64

10*64 = 640

6 0
3 years ago
Read 2 more answers
Is 2/3 greater than 4/8
MArishka [77]


Find a common denominator to begin. The common denominator is the LCM of both denominators. In this case, the common denominator will be 24.

Now, multiply the numerator by the number you multiplied the denominator. For 2/3, you multiplied 3 by 8, so multiply 2 by 8 to get 16. The fraction is now 16/24. Multiply 4 by 3 since you multiplied 8 by 3 to get 24. You will get 12 and the fraction will become 12/24.

Then, compare. 16/24 is closer to 24/24, or one whole, so 16/24, or 2/3, is greater.

4 0
3 years ago
Read 2 more answers
Solve by factoring. m^2+8m+7=0 A. 8,7 B. -7,1 C. -7,-1 D. 7,1
REY [17]
The answer is c, -1 or -7

Hope this helped :)
5 0
3 years ago
Other questions:
  • Which image is the translation of angle abc given by the translation rule (x, y)-&gt;(x-2, y+2)
    5·1 answer
  • A ladder is leaned against a building. the bottom of the ladder is 11 feet from the building. the top of the ladder is 17 feet a
    9·1 answer
  • Which will result in a difference of squares?
    10·2 answers
  • The people are in charge in this type of citizen participation? *<br><br><br>​
    10·2 answers
  • Andre lives 1.6 km from school. What is 50% of 1.6 km?
    9·2 answers
  • If f(x) = -2x + 7, find f(8)
    11·1 answer
  • Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
    8·2 answers
  • What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a ma
    5·1 answer
  • Prove trigonometric identity:
    8·1 answer
  • Help me
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!