Answer:


Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be
and cost of y children's ticket will be
. We can form the second equation by setting the total cost of tickets as:

Therefore, the required system of equations that could be used to find x and y will be:


Step-by-step explanation:
If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.
Answer: B
Vsphere=(4/3)pir³
d/2=r
d=6.2
6.2/2=r=3.1
vsphere=(4/3)pi3.1³
vsphere=(4/3)pi29.791
Vsphere=124.72498666666666666666666666667
answer is 124.72498666666666666666666666667 cubic feet
or rounded to neares whole, 125 square feet
Answer:
3
Step-by-step explanation:
<span>The steps for using a compass and straightedge to construct an equilateral triangle are as follows:
1. </span><span>Construct a circle with point E as the center and a circle with point F as the center with each circle having radius EF
2. </span><span>Construct line EF
3. </span><span>Construct a point at one of the two intersection points of circle E and circle F and label this point G
4. </span><span>Construct line EG and line FG.</span>