Answer:
y+4x=36
Step-by-step explanation:
the answer isn't in the choice
Answer:
There are 60 permutations that can be formed from the first five letters of the alphabet.
Step-by-step explanation:
The number of three letter permutations that can be formed from the first five letters of the alphabet is 
.
= 60
Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.
Answer:
28 students
Step-by-step explanation:
Work backwards.
First, subtract 3:
115 - 3 = 112
Then, divide by 4:
112 ÷ 4 = 28
So, there are 28 math students in his class.
Answer:
1 inch
Step-by-step explanation:
Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.
_____
A 1-inch wide frame adds 2 inches to length and width.
_____
<em>Solution using an equation</em>
If you let w represent the width of the frame, the area of the framed photo is ...
(5+2w)(7+2w) = 63
4w^2 +24w -28 = 0 . . . . write in standard form
w^2 +6w -7 = 0 . . . . . . . . divide by 4
(w -1)(w +7) = 0 . . . . . . . . factor
The positive solution to this equation is w=1.
The width of the frame is 1 inch.
in such cases where 2 line intersect each other, opposite angels are equal
so
2x+2 = 3x - 52
now subtracting 2 from both side
2x +2 -2 = 3x - 52 - 2
2x = 3x - 54
subtracting 3x from both side
2x -3x = 3x -54 - 3x
-x = -54
drividing by -1 both side
-x/-1 = -54/-1
x = 54
