Area of fountain is 147.58 and area of path is 28.26
Answer:
A cantaloupe costs $4
Step-by-step explanation:
Watermelons = W
Cantaloupes = C
Write given statements as equations
5W + 6C = 54
4W + 8C = 56
Simplify the second equation
4W + 8C = 56
Subtract 8C from both sides of the equation
4W = 56 - 8C
Divide both sides of the equation by 4
W = 14 - 2C
Substitute into second equation
5W + 6C = 54
5(14 - 2C) + 6C = 54
Multiply 5(14 - 2C)
70 - 10C + 6C = 54
Add -10C + 6C
70 - 4C = 54
Add 4C to both sides of the equation
70 = 54 + 4C
Subtract 54 from both sides of the equation
16 = 4C
Divide both sides of the equation by 4
C = 4
A cantaloupe costs $4
5W + 6(4) = 54
Multiply 6(4)
5W + 24 = 54
Subtract 24 from both sides of the equation
5W = 30
Divide both sides of the equation by 5
W = 6
A cantaloupe costs $4
A watermelon costs $6
Hope this helps :)
Answer: 127 11/12
Step-by-step explanation:
1. 1/2 + 3/4 = 2/3
Change 1/2 by by multiplying by 2 to get a common denominator of fourths.
2/4 + 3/4 = 2/3?
5/4 = 2/3?
no
2. 5/8 - 1/4
Change 1/4 by by multiplying by 2 to get a common denominator of eighths.
5/8 - 2/8 = 3/8?
3/8 = 3/8 ?
yes
3/8 x 10 = 30/8
3. 4/5 +7/10 = 1 1/2
Change 4/5 by multiplying by 2 to get a common denominator tenths.
8/10 + 7/10 = 1 1/2?
15 /10 = 1 1/2?
yes
1 1/2 x 10 = 25
4. 2 1/3 - 1 5/6 = 1/6
Change 1/3 by multiplying by 2 to get a common denominator sixths.
2 2/6 - 1 5/6 = 1/6?
3/6 = 1/6
no
100 -2/3 - 1/6 + 30/8 + 25
multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.
100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24
create mixed number
127 22/24
reduce
127 11/12
To find the inverse, switch the variables and solve for f(x).
x = e^f(x) + 6
x - 6 = e^f(x)
f(x) = ln(x-6)
hope this helps :)
