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
Yanka [14]
4 years ago
5

Find the ratio a:b, if 2a−b/6 = b/3

Mathematics
1 answer:
Tom [10]4 years ago
7 0

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

You might be interested in
Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!
aliya0001 [1]

Answer:

Flour 5\dfrac{1}{2}\ c

Sugar 2\dfrac{2}{3}\ c

Butter 1\dfrac{1}{2}\ c

Eggs 2

Baking powder 7\ t

Vanilla extract 3\ t

Step-by-step explanation:

There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat 16\cdot 3=48 cookies.

Given cookie recipe makes 24 cookies, so to make 48 cookies you need

48:24=2 portions.

Thus,

              1 portion                      2 portions

Flour      2 \dfrac{3}{4}\ c               2\dfrac{3}{4}\cdot 2=2\cdot 2+\dfrac{3}{4}\cdot 2=4+\dfrac{3}{2}=4+1 \dfrac{1}{2}=5\dfrac{1}{2}\ c

Sugar    1\dfrac{1}{3}\ c                  1\dfrac{1}{3}\cdot 2=1\cdot 2+\dfrac{1}{3}\cdot 2=2+\dfrac{2}{3}=2\dfrac{2}{3}\ c

Butter    \dfrac{3}{4}\ c                  \dfrac{3}{4}\cdot 2=\dfrac{3}{2}=1\dfrac{1}{2}\ c

Eggs      1                           1\cdot 2=2

Powder 3\dfrac{1}{2}\ t                  3\dfrac{1}{2}\cdot 2=3\cdot 2+\dfrac{1}{2}\cdot 2=6+1=7\ t

Vanilla   1\dfrac{1}{2}\ t                  1\dfrac{1}{2}\cdot 2=1\cdot 2+\dfrac{1}{2}\cdot 2=2+1=3\ t

8 0
3 years ago
If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce
Alexandra [31]

Answer:

Rate of Decay = 8%

Step-by-step explanation:

The decay formula is:

F=P(1-r)^t

Where F is the final value (here, it is given as "Y")

P is the initial value (here, given as 20,000)

r is the rate of decay (what we need to find)

t is the time (given as 2)

Comparing both the equations:

F=P(1-r)^t\\Y=20,000(0.92)^2

We see that:

1 - r  =0.92

We solve for "r":

1 - 0.92 = r

0.08 = r

The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:

0.08 * 100 = 8%

Rate of Decay = 8%

6 0
4 years ago
Use the given information to find the exact value of each of the following. a. sine 2 thetasin2θ b. cosine 2 thetacos2θ c. tange
RUDIKE [14]

The solution is in the attachment

7 0
3 years ago
a mother is five times old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each n
Westkost [7]

Answer:

30,6

Step-by-step explanation:

4 0
3 years ago
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm​ long, 13cm​ wide, and 8cm​ tall?
Effectus [21]

Answer:

15cm long

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Acelynn borrows $1337 to buy a four wheeler. The interest rate is 4% for the 14 year loan. Q: A: How much interest will she pay
    11·1 answer
  • Walt has a box of 80 postage stamps. The box contains 16 stamps featuring the Bald Eagle and 40 stamps featuring the Stars and S
    11·1 answer
  • The equation 9.95+.035s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for th
    10·1 answer
  • Write a proportion that could be used to solve for each variable. Then solve. 7 pencils for $1.68 p pencils for $2.88 a. 7.1.68
    9·1 answer
  • I need help, please
    7·1 answer
  • What is the circumference of a circle with a diameter of 6.2cm?
    9·1 answer
  • 78 students are in a chamber Orchestra 32 members play wind instruments half of the other members play percussion instruments ab
    13·1 answer
  • A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The
    8·1 answer
  • Find the equation of a line whose gradient is -¾ and y intercept is 2​
    9·1 answer
  • Please urgently need help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!