Given :
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.
To Find :
The total number of questions on Stephanie's exam.
Solution :
Let, number of questions in Part 1 is x :
Let, number of questions in Part 2 is y :
Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
Answer:
(2)^9•(3)^3•(7)^3•(17)^3
Step-by-step explanation:
(34•84)^3
=(34)^3•(84)^3
=(2•17)^3•(2•2•3•7)^3
=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3
=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3
=(2)^9•(3)^3•(7)^3•(17)^3
Answer: y=-3x/4 -1/4
Step-by-step explanation:
y=mx+b
-1=-3/4 * 1 +b
-1=-3/4 + b
(-1=-3/4 + b)*4
-4=-3+4b
4b=-1
b=-1/4
y=-3x/4 -1/4
