25% of the class likes mint gum, 5% likes orange, 20% likes raspberry lemonade, of the remaining % likes cherry. how much is the remaining % of students?
Answer:
I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf). The minimum is the vertex. Hope this helps!
Step-by-step explanation:
X = 12
because if you notice, each of the angles have a little arc in the corner, which means they are congruent. if all three angles are congruent, that means each angle is 60° because each triangle has a maximum value of 180°. therefore, this means it is an equilateral triangle.
that being said, each side must be equal as well. so, you can use any two sides to find x by using each one on a different side of an equation, then isolating and solving.
5x - 22 = 3x + 2 = 4x - 10
so
5x - 22 = 3x + 2
3x + 2 = 4x - 10
4x - 10 = 5x - 22
whichever one you solve for, x = 12. and if you plug in that number for x, each side equals the same number = 38
The formula for volume of a sphere is V=(4pi*r^3)/3.
Plugging in 12 for r we get
V=(4pi*(12)^3)/3
V=(4pi*1728)/3
V=(6912pi)/3
V=2304pi
Round to 2 decimal places: 7238.23
Final Answer:
7238.23 cubic units.
Hope I helped :)
Answer: the cost per unit of gas is $0.28
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as
500x + 100y = 333 - - - -- - -- - -- -1
The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as
400x + 150y = 286 - - - - - - - - - --2
Multiplying equation 1 by 400 and equation 2 by 500, it becomes
200000x + 40000y = 133200
200000x + 75000y = 143000
Subtracting, it becomes
- 35000y = - 9800
y = - 9800/- 35000
y = 0.28
Substituting y = 0.28 into equation 2, it becomes
400x + 150 × 0.28 = 286
400x = 286 - 42 = 244
x = 244/400 = 0.61
