Answer:
7/2
Step-by-step explanation:
12x=4(x+2)+20
12x=4x+8+20
12x-4x=8+20
8x=28
x=28/8
simplify
x=7/2
All definitions can be read as a conditional statement
1.<AFC
2.<AFD
3.<AFE
4.<AFB
#5, 6 and 7
m<BAE = 59
m<BAC + m<CAD + m<DAE = m<BAE
4x - 20 + x + 12 + x + 1 = 59
6x - 7 = 59
6x = 59 + 7
6x = 66
x = 11
m<BAC = 4x - 20 = 4(11) - 20 = 24
m<CAD = x + 12 = 11 + 12 = 23
m<BAE = x + 1 = 11 + 1 = 12
answer
5.
m<BAC = 24
6.
m<CAD = 23
7.
m<BAE = 12
#8, 9 and 10
m<BAE = 130
m<BAC + m<CAD + m<DAE = m<BAE
3x - 10 + 2x + 5 + x + 15 = 130
6x + 10 = 130
6x = 120
x = 20
m<BAC = 3x - 10 = 3(20) - 10 = 60 -10 = 50
m<CAD = 2x + 5 = 2(20) + 5 = 40 + 5 = 45
m<DAE = x + 5 = 20 + 15 = 35
answer
8.
m<BAC = 50
9.
m<CAD = 45
10.
m<DAE = 35
Answer is 6 miles per day
Answer is equation 48 = (x)(5) + 18
Step by step
You can use y intercept equation
y = mx + b
y = 48 total miles
m = rate of miles unknown
x = 5 days
b = starting point of 18 miles already ridden
48 = (x) (5) + 18
48 = 5x + 18
Subtract 18 from both sides to isolate the variable
48 - 18 = 5x + 18 - 18
30 = 5x
Now divide both sides by 5 to solve for x
30/5 = 5/5 x
X = 6 miles per day
Check your work, substitute 6 for x in your equation
48 = (6) (5) + 18
48 = 30 + 18
48 = 48
Problem solved!!
First, it would help to put 46 and 2/3 into an improper fraction: 140/3.
Then, since this is a percent, we put that improper fraction over 100: (140/3)/100 = 140/300.
Finally, we multiply this answer by 28 since "of" means multiply:
(140/300) * 28 = 196/15 = 13 1/15
