Answer:
Step-by-step explanation:
f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive. Only
"On a coordinate plane, an absolute value graph has a vertex at (2, 1)" satisfies those requirements.
you could use this equation to help you solve it;
x + (x + 42) = 138
the first step is to combine like terms;
2x = 138 -42
2x = 96
X = 96/2
X = 48
we already solved for x now substitute it in the equation I gave you.
48 + (48 + 42) = 138
48 + 90 = 138
hope it helped...if you have any concerns just let me know:)
To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
5 2/6 feet - 2 4/6 feet = 8/3 feet
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.
$4 / 8 = 50 cents per pen
.5 * 5 = 2.50
.5 * 3 = 1.50
Ivan pays $2.50 and Jeff pays $1.50
Answer:
51 rows
Step-by-step explanation:
Given
Length of bookmark = 20cm
Distance between beads = 4mm
Required
Number of rows of beads
First, the distance between the rows of beads must be converted to cm
if 1mm = 0.1cm
then
4mm = 4*0.1cm
4mm = 0.4 cm
This means that each row of beads is placed at 0.4 cm mark.
The distance between each row follows an arithmetic progression and it can be solved as follows;
Where 
(The last term)
(The first term)
(The distance between each row of beads)
n = ?? (number of rows)
Solving for n; we have the following;
becomes
DIvide both sides by 0.4
Add 1 to both sides
Hence, the number of rows of beads is 51
