Answer:
Colin gets of the total money
Step-by-step explanation:
If we let the total amount be "90" (or any multiple of 9), then the solution gets much easy.
Let total money be 90.
Caroline gets 1/9, so that is:
1/9 * 90 = 10
Remaining is 90 - 10 = 80
This 80 is divided in the ratio 1:3, that means Colin gets 1 part and Sarah gets 3 part. That is 1 + 3 = 4 parts altogether.
80 divided in 4 parts is 80/4 = 20 each part.
Colin gets 1 part, that is 1 * 20 = 20
Colin gets 20 OUT OF 90 (total initial).
What proportion is that? We simply divide and reduce!!
20/90 = 2/9
Colin gets of the total money
The proportion that Colin's get from the share is 2 / 9 x
Proportion says that two ratios (or fractions) are equal.
Therefore,
let the total money they share = x
Hence,
Caroline money = 1 / 9 x
Colin and Sarah share the rest in the ratio 1:3.
Therefore,
Collin share = 1 / 4 × (x - 1 / 9 x) = 1 / 4 × 9x - x/ 9 = 1 / 4 × 8 / 9 x
Collin's share = 1 / 4 × 8 / 9 x = 8 / 36 x = 2 / 9 x
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Answer:
y = 2/3x + 7/3
Step-by-step explanation:
We know
The line pass through the point (4,5)
The equation is: y = 2/3x - 4
m = 2/3
To solve this, we can use the fact that parallel lines have the same slope. Since the parallel line we're looking for has the same slope, we can use the point-slope form of a linear equation to find its equation:
y - y1 = m(x - x1)
y - 5 = 2/3(x - 4)
y - 5 = 2/3x - 8/3
y = 2/3x + 7/3
So, the answer is y = 2/3x + 7/3
Answer:
Step-by-step explanation:
sin(x) + tan(x) =sin(X) + sin(x)/cos(x)
=sinx(1+1/cosx)
=Sinx(1+secx)
=1+secx/cosecx. (Since sinx=1/cosecx)
Hence LHS=RHS proved
Answer:
12 Gallons of Water!
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4.5= 1 hour
9= 2 hours
4.5/3=1.5
So every 1/3 hour equal 1.5 gallons of water!
9+1.5*2= 12
Answer:
12 gallons
Step-by-step explanation:
You just multiply both of the numbers.
The correct term is "Pythagorean theorem," not "Patagium theory." The Pythagorean theorem is a fundamental concept in mathematics that relates to right triangles.
It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
For example, consider a right triangle with side lengths of 3 units and 4 units. We can use the Pythagorean theorem to find the length of the hypotenuse:
a² + b²= c²
3² + 4² = c²
9 + 16 = c²
25 = c²
Taking the square root of both sides gives us:
c = √25
c = 5
So, the length of the hypotenuse is 5 units.
The Pythagorean theorem has many practical applications, such as in architecture, engineering, and navigation. It is a fundamental concept in geometry and is often used as a building block for more advanced mathematical concepts.
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