Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
Answer:
41 over 24
Step-by-step explanation:
7 2/3 can be "translated" into 3 times 7 plus 2 which is 22, so now it's 22 over 3.
5 5/8 can be "translated" into 8 times 5 plus five is forty five, so now it's 45 over 8.
We now need a common denominator.
Multiples of 8: 8, 16, 24, 32
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
24 are both multiples of 8 and 3.
Now you have to multiply 22 and 8 because 3 times 8 equals 24 and so you have to do it to the numerator.
22*8=176
Now you have to multiply 45 and 3 since 8 times 3 equals 24 and so you have to do it to the numerator, too.
45*3=135
All you have to do now is subtract 176 from 135 which is 41
Answer:
After day 223,
Step-by-step explanation:
On day 223, both plants will be equal.
Answer:
Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
Answer: The solution is is x=7
Step-by-step explanation:
4/3x - 1/3 = 9
+1/3 +1/3
4/3x/4/3 = 28/3
x= 7
