Cost = 15x + 2000
Earning = 35x
At break even, cost = earning
35x = 15x + 2000
20x = 2000
x = 100
100 rides are needed to break even.
Answer:
461 adults and 864 students
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.
We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.
We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.
1(1325-a)+5a=3169
1325-a+5a=3169
1325+4a=3169
1325-1325+4a=3169-1325
4a=1844
a=461
This means that 461 adults attended and 864 students attended since 864+461=1325.
Hello!
To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.
In this formula, d is the density, m is the mass and V is the volume.
1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.
0.92g/cm³ = 100g/V (multiply both sides by V)
0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)
V = 108.69 cm³.
The volume of 100 grams of ice is about 108.69 cm³.
2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.
1.00g/mL = 100g/V (multiply both sides by V)
1.00g/mL · V = 100g (divide both sides by 1.00g/mL)
V = 100 mL
Therefore, the volume of the melted ice is 100 mL.
<u>Final answers</u>:
- 108.69 g/cm³
- 100 mL
Answer: The answer is (-7,12)
Step-by-step explanation:
Answer:
x = 0, y = 2
Step-by-step explanation:
- solve the equation for x
3x + 3(x + 2) = 6
2. Substitute the given value of x into the simplest equation y= x + 2
y = 0 + 2
3. Solve the equation for y
y= 2
4. The possible solution of the system is the ordered pair ( x, y)
( x, y) = ( 0, 2)
