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diamong [38]
3 years ago
12

If the ratio of two numbers is 5:2, what is the ratio of their sum to their difference?

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer:

7/3

Step-by-step explanation:

Let the two numbers be x and y which are relatively prime to each other.

a/b = 5/2

So you want the ratio of

(a + b) / (a - b)

  • Take out a common factor of b
  • numerator:  b(a/b + 1)
  • denominator: b(a/b - 1)
  • Put them together
  • The b's cancel out
  • (a/b + 1) / (a/b - 1)
  • but a/b = 5/2
  • (5/2 + 1) / (5/2 - 1)
  • Numerator:  (5/2 + 2/2) = 7/2
  • Denominator: 5/2 - 2/2 = 3/2
  • numerator over denominator = 7/2 // 3/2 = 7/2 * 2/3 = 7/3

Answer: 7/3

Nice problem: Thanks for posting.

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Solve 6y2-5y-6 = 0 using the quadratic formula.
sergejj [24]

Answer:

Ay=3 over 2 or y=-2 over 3

Step-by-step explanation:

the quadratic formula: y={-b±√(b²-4ac)}/2a

In the equation 6y²-5y-6= 0, a=6, b=-5, c= -6

Substituting for the values in the formula we get:

{-(-5)±√[(-5²)-4(6)(-6)}/2(6)

{5±√169}12

={5±13}/12

(5+13)/12=3/2 or (5-13)/12= -2/3

4 0
3 years ago
Read 2 more answers
Jaleesa bought a movie online. She paid $19.00 plus tax. The sales tax was 9%. How much did she pay in sales tax?
boyakko [2]

Answer: she paid $1.71 in sales tax.  

Step-by-step explanation:

Find 9 percent of 19 to find the sale tax.

9% of 19 =

0.09 * 19 =  1.71  

This means she paid $1.71 in sales tax.

7 0
4 years ago
I'd really appreciate it if anyone helped! :) Giving Brainliest!
Anna11 [10]

the first three are irrational


5 0
3 years ago
PLEASE HELP PLEASE!!!
defon

Answer:

We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

  • x = -1
  • x - 0

Step-by-step explanation:

Given the table

x                f(x) = 2ˣ - 1                  g(x) = 1/2x

-2                  -3/4                               -1

-1                    -1/2                               -1/2

0                     0                                   0

1                       1                                   1/2

2                     3                                    1

If we carefully observe, we can determine that

at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = 0

  • f(0) = 0
  • g(0) = 0

Thus,

at x = 0

f(x) = g(x)

Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = -1

  • f(-1) = -1/2
  • g(-1) = -1/2

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

  • x = -1
  • x - 0
6 0
3 years ago
Is 0.8 miles more than 0.69
cestrela7 [59]
Yes, because there are zeros after the 8. 0.8 miles is equal to 0.80 miles, which is larger than 0.69 miles
5 0
3 years ago
Read 2 more answers
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