Let us assume that the number of alternative schools in the county are x in number.
It is given that the number of charter schools is 4 less than twice the number of alternative schools. So we can write, the number of charter schools is 4 less than twice of x. In equation form this can be written as:
Number of Charter Schools = 2x - 4
It is given that number of charter schools is 48. So we can write:
48 = 2x - 4
2x = 52
x = 26
x was the number of alternative schools. Therefore, there are 26 alternative schools in the county.
Answer:
slope: 
Step-by-step explanation:
the linear line has a positive slope that goes up by 1 unit and right by 2 units
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer:
see below
Step-by-step explanation:
Add 4 to find the solution:
z ≤ 7
The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.
The value of x+y+z = 93
<u>Explanation:</u>
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angle 1 = 18x
angle 2 = x+y
angle 3 = 30z
In rhombus, the diagonals intersect at 90°
Therefore,
angle 1 : 18x = 90
x = 90/18 = 5
angle 2: x+y = 90
5+y = 90
y = 85
angle 3: 30z = 90
z = 90/30 = 3
Value of x+y+z = 5+85+3 = 93
Thus, the value of x+y+z = 93
