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
tia_tia [17]
3 years ago
6

If (3a-5b) : (3a+5b)=1:4 then find the value of a:b​

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

a : b = 25 : 9

Step-by-step explanation:

(3a - 5b) : (3a + 5b) = 1 : 4

Product of extremes = product  of  means

(3a - 5b) *4 = (3a +5b) * 1    {Distributive property}

3a * 4  - 5b*4 = 3a + 5b

12a - 20b = 3a + 5b

Add 20b to both sides

12a = 3a + 5b + 20b

12a = 3a + 25b

Subtract 3a from both sides

12a - 3a = 25b

9a = 25b

\dfrac{a}{b}=\dfrac{25}{9}

a:b = 25 : 9

You might be interested in
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sente
AleksAgata [21]
divide and then multiple the numbers!
3 0
3 years ago
√(5-22(√5)+121)<br> Simplify and show your steps
JulijaS [17]
The answer would be 8.7639
7 0
3 years ago
A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon o
Alina [70]
D. 311 divided by 12 = 25.91
The nearest tenth would be 25.9
3 0
3 years ago
Read 2 more answers
How do i plot this??
Softa [21]

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

5 0
3 years ago
Hunter read a total of 22 books over 11 months. If Hunter has read 42 books so far, how
Mamont248 [21]
21 months. Hope this helps!
5 0
2 years ago
Other questions:
  • can you figure out what the next five numbers would be in this sequence of numbers? 1,6,7,12,14,19,22
    10·2 answers
  • Amira has $80. Sasha has $40.
    10·1 answer
  • Eli needs pieces of ribbon cut into strips that are 2 1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression cou
    8·1 answer
  • How do you put 943,261,586 with base ten numbers
    11·1 answer
  • What is the slope of this graph?<br><br> 4<br><br> 14 <br><br> −14 <br><br> −4
    11·1 answer
  • 15 BRAINLY
    8·2 answers
  • What is the sigma notation for this arithmetic series : 10+25+40+...+490+505
    15·1 answer
  • 9. Which equation could be used to find the area of the shaded triangle below?
    6·1 answer
  • Tetsuo has decided to purchase a new car. He decides to put 10% down and finance the remaining balance. The bank offers Tetsuo a
    14·1 answer
  • Course Task
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!