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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.

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3 years ago

In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.

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3 years ago

If m=8, how many solutions are there for the expression m-8?

ss7ja [257]

Answer:

1 solution, 0

Step-by-step explanation:

In algebra, a variable can be equal to any amount of numbers depending on how it is used. In this case, m is only equal to the one value of 8, and therefore only has one solution.

m - 8

(8) - 8

5 0

3 years ago

A mathematics teacher wanted to see the correlation between test scores and

SpyIntel [72]

Answer:

The homework grade, to the nearest integer, for a student with a test grade of 68 is 69.

Step-by-step explanation:

The general form of the linear regression equation is:

$y=a+bx$

Here,

y = dependent variable = test grade

x = independent variable = homework grade

a = intercept

b = slope

Compute the value of a and b as follows:

$a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316$ $b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195$

The linear regression equation that represents the set of data is:

$y=-14.316+1.195x$

Compute the value of x for y = 68 as follows:

$y=-14.316+1.195x$

$68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69$

Thus, the homework grade, to the nearest integer, for a student with a test grade of 68 is 69.

8 0

3 years ago

carlos walks 4 miles every night for exercise it takes him exactly 64 minutes to finish his walk Assuming he walks at a constant

TEA [102]

Ok, so if he walks 4 miles per 64 minutes, or 4 miles/64 min which will reduce to 1 mile/ 16 min, then the numbers of miles he walks in a given number of minutes would be

1/16 * number of minutes

The question states we represent miles with y and number of minutes with x, so...

y = 1/16x

So let's check it...

How many miles (y) in 64 minutes (x)

y = 1/16x
y = 1/16 * 64
y = 64/16 = 4 miles

Yep! It checks!

6 0

3 years ago