Step-by-step explanation:
Step one:
Given
The expression for Katya's distance away from home is given by the expression

y represents her total distance away from home
x= represent the time of travel in hours
Step two:
60 represents the rate at which the train is traveling in km per hour
20 represents the initial distance from home
we predict her distance away at a given time
say 4 hours, that is x=4hours
substituting in the expression
y=60x+20
y=60(4)+20
y=240+20
y=260km
I beleive the answer is C
Answer:13
Step-by-step explanation: I did this before lemme know how it goes
To solve for these, we will use formulas and convertions as we go.
For 1:
We are looking for kg (kilograms) to g (grams). 1 g = 0.001 kg.
We have 2.5 kg. This means we must multiply 2.5 by 1,000.
2.5 x 1,000 = 2,500.
1.) is 2,500 grams.
For 2:
This problem has multiple steps, but we will successfully solve it. As of now, we have yards. There are 3 feet in a yard, and 12 inches in 1 ft. We will convert yards to feet, and then feet to inches.
500x3 = 1500, 1500 x 12 = 18,000.
2.) is 18,000 inches.
For 3:
There are 2,000 pounds in 1 ton. Using this, we can determine how many tons we have.
7,000/2,000 = 3.5
3.) is 3.5 tons.
I hope this helps!
Answer:

Step-by-step explanation:
By definition:
The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.
We know that:

The perimeter is:

Now we find the length of the sides:

Once the length of the sides is known, we use Heron's formula to calculate the area.
First I find the semiperimeter S.

Then the Area is:
