Greater than
1/6 x 3/2 = 1/4
1/4 > 1/6
The answer is m to the power of 8. Just add exponents with the same base.
OK.
Let's say a member and a non member each visit the garden ' V ' times.
The non-member's cost for each visit is $6 .
The non member's cost for ' V ' visits is 6 V .
His total cost for the year is 6 V .
The member's cost for each visit is $3.
The member's cost for ' V ' visits is 3V .
His total cost for the year is 3V + the $24 to join.
We want to know what ' V ' is (how many times each one can visit)
if their total costs are the same.
So let's just write an equation that SAYS their costs are the same,
and see what ' V ' turns out to be.
Non-member's cost for the year = Member's cost for the year
6 V = 3 V + 24
Subtract 3V from each side: 3 V = 24
Divide each side by 3 : V = 8 .
-- If they both visit the garden 1, 2, 3, 4, 5, 6, or 7 times in the year,
the member will spend MORE than the non member.
-- If they both visit the garden 8 times in the year,
they'll both spend the same amount. ($48)
-- If they both visit the garden MORE than 8 times in the year,
the member will spend LESS than the non-member.
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That was the algebra way to do it.
Now here is the cheap, sleazy, logical, easy way to do it:
The non-member spends (6 - 3) = $3 MORE than the member for each visit ?
After how many visits does the $3 more each time add up to the $24 that
it cost the member to join for the year ?
$24 / $3 = 8 visits .
#1 part 1. 2(7/6w+w) (The formula is width of each side is added, then multiplied by 2.)
#1 part 2. 84.5 (You do 52/8, then you get 6.5 and times that by 3. You get 13. Then you do 13*6.5 and get 84.5) (You divide it by 8 because you know a rectangle has 2 sides longer than the other 2.)
#2. 16 ( Add lowest and highest temperature together, then divide by 2. 27-(-9)= 36. 36/2=16.)
#3 part 1. z - 4/3 = 7. (Just read the sentence. Its pretty obvious.)
#3 part 2. 8.333....(Step by step solution :
Step 1 :
4
Simplify —
3
Equation at the end of step 1 :
4
(z - —) - 7 = 0
3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
z z • 3
z = — = —————
1 3
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 :
2.2 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:
z • 3 - (4) 3z - 4
——————————— = ——————
3 3
Equation at the end of step 2 :
(3z - 4)
———————— - 7 = 0
3
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(3z-4) - (7 • 3) 3z - 25
———————————————— = ———————
3 3
Equation at the end of step 3 :
3z - 25
——————— = 0
3
Step 4 :
When a fraction equals zero :
4.1 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:
3z-25
————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3z-25 = 0
Solving a Single Variable Equation :
4.2 Solve : 3z-25 = 0
Add 25 to both sides of the equation :
3z = 25
Divide both sides of the equation by 3:
z = 25/3 = 8.333
One solution was found :
z = 25/3 = 8.333
