Step-by-step explanation:
You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.
Use pythagorean theorem for the answer.
a^2 +b^2 = c^2
side + side = hypotenuse
Now try to solve it.
Hope that helps:)
Answer:
Step-by-step explanation:
we know that
The solution of the inequality of the dotted red line is the shaded area above the dotted line
The dotted red line is parallel to the solid gray line
The equation of the solid gray line is equal to 
----> given line
The slope of the solid gray line is m=-2
Remember that
If two lines are parallel, then their slopes are the same
therefore
The slope of the dotted red line is m=-2
The y-intercept of the dotted red line is b=2
Find the equation of the dotted red line in slope intercept form
we have
substitute
Remember that the solution is the shaded area above the dotted red line
therefore
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
