Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
Answer:
The 1st, 3rd, and the 4th
In order to determine the value of x, consider that one of the interior angles of the triangle is given by:
180 - (4x - 18)
= 180 - 4x + 18
= 198 - 4x
Next, consider that the sum of the interioir angles of a triangle is equal to 180:
(2x + 6) + 36 + (198 - 4x)
= 2x + 6 + 36 + 198 - 4x
= -2x + 240
this is equal to 180:
-2x + 240 = 180
-2x = 180 - 240
-2x = -60
x = 60/2
x = 30
Hence, the value of x is x = 30
Answer: 8 grams
Step-by-step explanation:
We have two units of mass: grams and milligrams
The prescription has 3 grams of compound with 5,000 milligrams of solution.
To know how many grams in total there are in the mixture we must convert
5000 milligrams to grams.
By definition in 1 gram there are 1000 mg.
Then we perform the following operation
Then the total amount of grams in the prescription is:
