Answer:
Step-by-step explanation:
Converting yards to feet means that we want the label of yards to cancel, leaving feet as our label. Use the factor-label method taught in chemistry.

The yards label cancels out, leaving feet as our label. So to answer the question, in order to convert from yards to feet you are multiplying by 3.
Answer:
20t
Step-by-step explanation:
Carly buys t play tickets at $14.50 per ticket and t choir concert tickets at $5.50 per ticket. What is the cost for play tickets and choir concert tickets.
The cost of the play tickets is the number of play tickets multiplied by the cost of each ticket.
Play tickets: number of tickets: t; cost of each ticket: $14.50
Cost of play tickets: 14.50t
The cost of the choir tickets is the number of choir tickets multiplied by the cost of each ticket.
Choir tickets: number of tickets: t; cost of each ticket: $5.50
Cost of choir tickets: 5.50t
Total cost of play tickets and choir tickets:
14.50t + 5.50t = 20t
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,

From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;

3,100 mg is 3.1 grams as there a 1000 mg in a gram.