The number of blocks will be the hypotenuse of this right angle:
I NORTH
I
I
I
I
- - - - - - - - - - EAST
8²+6²= 100 & North-East =√100 = 10 blocks
Multiply total students by 2/3 to find how many like math:
Like math = 120 x 2/3 = 240/3 = 80 total students like math
Multiply total students by 3/5 to find number of boys:
120 x 3/5 = 360/5 = 72 boys
A) number of girls = total students - boys = 120 -72 = 48 girls
B) from above 80 students like math
C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math
Answer: y=3/4x + 1/2
Step-by-step explanation: Parallel lines must have the same slope, so you already know the equation must be something like y=3/4x+b. You are given a point that the line goes thru(2,2), so you can plug this point into the equation to solve for b.
(2)=3/4(2) + b
2=6/4 + b
2= 3/2 + b
b= 2-3/2
b=4/2- 3/2
b=1/2
so y=3/4x + 1/2
Follow the order of operations. PEMDAS. Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. Let's start with parenthesis. First we so everything inside the parenthesis. So the first thing we do, is exponents, 2 x 2 = 4. Now the top equation is 3 x 4 - 23. Next thing in the order of operations, is Multiplication. So now we do 3 x 4. Which equals 12. Now the top equation is 10 - 12 - 23. Now we do Subtraction in order. First 10 - 12 = negative 2 (-2) Then we do -2 - 23 which equals negative 25 (-25). Now let's work on the bottom equation. Once again follow the order of operations. We do the exponents in the parenthesis first. 10 x 10 = 100. Then do the rest in the parenthesis, 1 + 100 = 101. Now the exponents in the outside of the parenthesis. - 2 x - 2 = 4. And 5 x 5 = 25. Then we do Multiplication, 4 x 25, which equals 100. Then we do 101 - 100 = 1. Then we reduce the fraction. -25/1 = -25. Therefore the answer to your problem is -25. I apologize for taking so long to write this. Hope this helps though!
-Twixx
