I would say 168 because if you throw a dice with 6 sides a thousand 1000 you will most likely get one certain side 168 times.
3 1 10
------ + --------------- = ----------
3x x +4 7x
1 1 10
------ + ------------ = ----------
x x +4 7x
x + 4 + x 10
------------------ = ----------
x(x +4) 7x
2x + 4 10
------------------ = ----------
x(x +4) 7x
7x(2x + 4) = 10x(x+4)
14x^2 + 28x = 10x^2 + 40x
4x^2 - 12x = 0
4x(x - 3) = 0
4x = 0
x = 0
x - 3 = 0
x = 3
answer x = 0 and x = 3
In order to determine the correct answer, it would be helpful to set up equations. We do as follows:
Let x = students
y = adults
x + y = 215
.50x + 2y = 250
SOlving simultaneously, we have:
x = 120 students
y = 95 adults
Hope this answers the question. Have a nice day.
Answer: (B) The price elasticity of demand for good Z = 0.86
Step-by-step explanation:
The formula for determining elasticity of demand by using the midpoint method is
(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]
Where
P1 is the initial price of the item.
P2 is the final price of the item.
Q1 is the initial quantity demanded for the item.
Q2 is the final quantity demanded for the item.
From the information given,
P1 = 10
P2 = 15
Q1 = 85
Q2 = 60
The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]
= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5
= - 312.5/362.5 = - 0.86
Answer:
70° , 70°
Step-by-step explanation:
The 2 angles are corresponding and are congruent, then
23x + 1 = 4 + 22x ( subtract 22x from both sides )
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Then the angles are
23x + 1 = 23(3) + 1 = 69 + 1 = 70°
4 + 22x = 4 + 22(3) = 4 + 66 = 70°
