I am 3/2 as old as Paul. Ten years later, I will be 5/4 of Paul's age then. How old am I now? How old is Paul now?

Mathematics

2 answers:

kiruha [24]2 years ago

7 0

Solving Age Word Problems

If the problem involves a single person, then it is similar to an Integer Problem. Read the problem carefully to determine the relationship between the numbers. This is shown in the following example involving a single person.

If the age problem involves the ages of two or more people then using a table would be a good idea. A table will help you to organize the information and to write the equations. This is shown in the age problems: examples involving more than one person.

Age Problems Involving A Single Person

Example 1:

Five years ago, John’s age was half of the age he will be in 8 years. How old is he now?

Solution:

Step 1: Let x be John’s age now. Look at the question and put the relevant expressions above it.

age problem

Step 2: Write out the equation.

age problem equation

Isolate variable x

equations

Answer:John is now 18 years old.

Maslowich2 years ago

3 0

Answer:

to be fair, i really dont know this

Step-by-step explanation:

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Which of the following is a point slope equation of the line below (10,5)(2,2)

salantis [7]

Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula $\frac{ y_{1} -y_{2} }{ x_{1} - x_{2} }$ . Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have
$\frac{5-2}{10-2} = \frac{3}{5}$ as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m, and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be $y- 5= \frac{3}{5} (x-10)$

Feel free to ask further questions!

7 0

3 years ago

How do you add vectors? Add the vector 3,4 to the vector that goes 7 units at an angle of 2π/3.

Gekata [30.6K]

The sum of two vectors is (- 0.5, 10.1)

Explanation:

To add two vectors, add the corresponding components.

Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.

Then, the sum of u and v is the vector

u +v =⟨u1+v1, u2+v2⟩

(b)

Two vectors = ( 3, 4 )