Answer:
x=4
Step-by-step explanation:
Since this is an equilateral triangle, all the sides are equal
6x = 4x+8 = 3x +12
Using the last 2 parts
4x+8 = 3x +12
Subtract 3x from each side
4x-3x +8 =3x+12-12
x+8 = 12
Subtract 8 from each side
x+8-8=12-8
x = 4
1/5 of 20 is $4. So, 20-4=$16 remaining.
3/8 of 16 is $7.50. So, 16-7.50= $8.50 remaining.
2/7 of 8.5 is $2.43. So, 8.50-2.43 is $6.07
Answer: Ken has $6.07 left after all his purchases.
Answer:
44
Step-by-step explanation:
-×-=+
11×4=44
so it's equal to =+44
Answer:
C. -3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
We know that line <em>m </em>is perpendicular to line <em>l. </em>
Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.
Negative: switch the sign
2/3 --> -2/3
Reciprocal: switch the numerator (top number) and denominator (bottom number)
-2/3 --> -3/2
Line <em>m</em> has a slope of -3/2 and C is correct.
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of 
The value of the function f can be determined when 
by identifying in which interval does the value of lie in the piecewise function.
Thus, lies in the interval 
, the function f is given by
Substituting in the function , we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.
