Answer:
See below:
Step-by-step explanation:
Take the difference between y values of any two values and divide by difference in corresponding x values
for example, 1: 66-50/4-1=16
2. 36-30/8-6= 6/2=3
3. 63-56/8-7= 7/1 = 7
4. 100-78/9-7= 22/2 = 11
you can choose any two points, not just the two I used.
5.500
p-1/4-(21/4)=0
Step by step solution :
STEP
1
:
21
Simplify ——
4
Equation at the end of step
1
:
1 21
(p - —) - —— = 0
4 4
STEP
2
:
1
Simplify —
4
Equation at the end of step
2
:
1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:
(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
4p - 22 = 2 • (2p - 11)
Equation at the end of step
5
:
2 • (2p - 11)
————————————— = 0
4
STEP
6
:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2 • (2p-11) = 0
Equations which are never true:
6.2 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.3 Solve : 2p-11 = 0
Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500
7x4x100=2800
7x4x1000=28,000
Pure gold is 24 Karat's so the ratio of purity 18 karat gold is:
(Number of Karats of Gold chain)/(Number of Karats of pure Gold)
this will give us:
18/24
=3/4
The weight of pure gold in 18 Karat Gold will be:
(ratio of purity)×(Total weight of chain)
=3/4×18
=13 1/2 ounces
=13.5 ounces.
