Answer:
the number of times in a month the train must be used, so that the total monthly cost without the pass is the same as the total monthly cost with the pass, is b. 24 times
Step-by-step explanation:
in normal purchase, train ticket (A) = $2.00
using frequent pass,
frequent pass (P) = $18
train ticket using frequent pass (B) = $1.25
Now, let assume the number of times in a month the train must be used = M
so,
A x M = P + (B x M)
$2.00 x M = $18 + ($1.25 x M)
($2.00 x M) - ($1.25 x M) = $18
M x ($2.00 - $1.25) = $18
M = $18 : $0.75
M = 24
Thus, the number of times in a month the train must be used is 24 times
Answer:
The coefficient of the squared expression in the parabola equation is 
Step-by-step explanation:
The equation of a parabola in its vertex form is:

Where the vertex of the parabola is the point (h, k)
a is the ceoficiente of the term to the square.
We need to find the equation of a parabola that has its vertex in the point:
(-5, -2)
So:

Therefore the equation is:

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

Finally the coefficient is a = 4
Answer:
397.7 m²
Step-by-step Explanation:
Step 1: find m < W
W = 180 - (33+113) (sum of ∆)
W = 34°
Step 2: find side UV using the law of sines


Multiply both sides by sin(34)


(approximated)
Step 3: find the area using the formula, ½*UV*VW*sin(V)
area = ½*29.8*29*sin(113)
Area = 397.7 m² (rounded to the nearest tenth.
I believe the answer is 8
54:450*100 =
(54*100):450 =
5400:450 = 12