All categories

3 years ago

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.

You might be interested in

MATH, GEOMETRY!! HELP!!

Reil [10]

Answer:A

Step-by-step explanation:

For SSS you need all sides

8 0

3 years ago

One circular table has a diameter of 9 ft, and another circular table has a diameter of 20 ft. How much greater is the area of t

morpeh [17]

Smaller circle:
diameter = 9 ft
radius = diameter/2 = (9 ft)/2 = 4.5 ft
A = pi(r^2) = 3.14159 * (4.5 ft)^2 = 63.62 ft^2

Larger circle:
diameter = 20 ft
radius = diameter/2 = (20 ft)/2 = 10 ft
A = pi(r^2) = 3.14159 * (10 ft)^2 = 314.159 ft^2

Difference = larger are - smaller area

Difference = 314.16 ft^2 - 63.62 ft^2 = 250.54 ft^2

Answer: About 251 ft^2

5 0

3 years ago

What is the length of side AC of the triangle? Pls hurry

kodGreya [7K]

Answer:

Step-by-step explanation:

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

3 0

3 years ago

Read 2 more answers

Give the slope of the graph and the unit rate

Lerok [7]

Answer:

y=5/4 x

The slope is 5/4

Step-by-step explanation:

To solve this problem we need to find the equation of the line, y=mx+b

We've been given a table with several points, so we can use two of them to perform our calculus.

To obtain the slope we need to use the equation of slopes:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (x1,y1) =(4,5) and (x2,y2)=(8,10)

m= (10-5)/(8-4)=5/4

To obtain b we can use the point (x2,y2)=(8,10) in the equation.

10=5/4 *8 +b

b=0

Hence our line has the following equation:

y=5/4 x

6 0

3 years ago

Midpoint of AB is M (-6,3) and A is (-8,1 what are coordinates for B

choli [55]

Answer:

(-4 , 5)

Step-by-step explanation:

5 0

3 years ago