Answer:
2 quarters and 5 dimes
Step-by-step explanation:
Using the inverse sine of x (32 / 58), the degree is 33.5.
Answer: m = -1
Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).
Using our slope formula, we take the <em>second y</em> minus <em>the first y</em> which in this case is -3 - 5 over our<em> second x </em>minus <em>our first x </em>which in this case is 6 - -2.
-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.
Now we have -8/8. Notice that our slope can be simplified one step further so we have <em>m = -1</em>.
The variable that's used to represent slope is <em>m</em>.
so basically for this problem you're just going to plug in the point (3,-3) into every equation, keeping in mind that the 3 is the x value and that the -3 is the y value. once you plug it in you can just use order of operations (pemdas) to solve.
the equations that do work with the point (3,-3) are (2x+4y=-6)
(2x-3y=15)
(8x+3y=15)
(7x-2y=-24)
Step-by-step explanation:
so to work one of these problems you take (2x+4y=-6) and plug in your variables.
2(3)+4(-3)=-6
then you're going to multiply
6-12=-6
the subtract the negative twelve from the 6
-6=-6
so we get a true statement. if you do this and the two numbers don't match then the equation does not work with your point. I hope this helps!
Answer:
The number of questions in sixth assignment must be less than or equal to 28.
Step-by-step explanation:
The number of questions in first five assignments are 11,10,13,14 and 14.
It is given that Mrs hawk assigns her students an average of no more than 15 questions on each assignment. Therefore the average of six assignments is less than or equal to 15 questions.
Let the number of questions in sixth assignment be x
Average of six assignments are
Since the average of questions is no more than 15, therefore
Therefore the number of questions in sixth assignment must be less than or equal to 28.
