Answer:
a. Sale Price
b. Total percent discount
Step-by-step explanation:
First Discount:
Initial Price
Discount
Second Discount:
Effective Discount:
Initial Price
Final Price
Total discount
B=number of ticets sold before
a=number of tickets sold after
cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a
total cost=925000
39.95b+54.95a=925000
total number tickets=20000
b+a=20000
we have
39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
<u>-39.95b-39.95a=-799000 +</u>
0b+15a=126000
15a=126000
divide bot sides by 15
a=8400
sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600
11,600 tickets sold before
8400 tickets sold after
Answer:
The option which is used to inscribe a square in a circle is option B
B. Construct a perpendicular bisector of the diameter of the circle
Step-by-step explanation:
The steps required to inscribe a square in a circle are;
1) Draw the circle using a compass
2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y
3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B
The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle
Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.
To solve this problem, let us first assign some variables.
Let us say that:
v1 = velocity of airplane = 180 mph
t1 = time travelled by airplane
v2 = velocity of jet = 330 mph
t2 = time travelled by jet
Since we know that distance is the product of velocity and
time, and that the distance travelled by the two must be equal for the jet to
catch up to the plane, hence:
v1 * t1 = v2 * t2
But we know that:
t1 = t2 + 1
Therefore:
180 (t2 + 1) = 330 t2
180 t2 + 180 = 330 t2
150 t2 = 180
t2 = 1.2 hours
<span>Therefore the jet can catch up to the plane after 1.2
hours it takes off.</span>
Answer:
E. 99.7%
Step-by-step explanation:
Calculate each z-score.
z = (x − μ) / σ
z = (173 − 128) / 15
z = 3
z = (x − μ) / σ
z = (83 − 128) / 15
z = -3
You can use a z-score table, or use the empirical rule.
P(-3 < z < 3) = 99.7%.
