The length of the course from point A to point W can be found using the midpoint formula. To write a paragraph proof, mention the given information and use the midpoint formula to calculate the length.
Part A:
To find the length of the course from point A to point W, we need to determine the distance between these two points. Since W is the midpoint of segment AB, we can use the midpoint formula to find the coordinates of W. If the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2), the coordinates of W would be the averages of x1 and x2, and y1 and y2.
Part B:
To write a paragraph proof for Part A, we can state the given information and use the midpoint formula to show how we calculated the length of the course from point A to point W. We can mention the formula for the midpoint and use the given information to substitute the values, then simplify the expression to find the length.
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Step-by-step explanation:
(1.7x10^4) x (8.5x10^-2)
17000 × 0.085
= 1445
To maximize the donation to charity, a total of 117 tickets need to be sold. The price per ticket that maximizes the donation is $29.0625. The maximum donation is $3,400.3125.
To maximize the donation to charity, we need to determine the number of tickets that need to be sold and the price per ticket that will result in the maximum donation.
a) To find the number of tickets, we can start with the minimum attendance requirement of 104 people. For every 8 extra people that attend, the price decreases by $1.25. So the number of extra people is calculated by dividing the total increase in price ($31.25 - $30) by the decrease per person ($1.25), which is 8. Therefore, the number of extra people is 13. To find the total number of tickets, we add the minimum attendance of 104 people and the number of extra people of 13. So the total number of tickets that need to be sold to maximize the donation to charity is 117.
b) To find the price per ticket, we start with the price of $31.25 and take into account the decrease of $1.25 for every 8 extra people. We can calculate the price decrease per person by dividing $1.25 by 8, which is $0.15625. To find the price per ticket, we subtract the decrease per person from the initial price, multiplied by the number of extra people. So the price per ticket that maximizes the donation is $31.25 - ($0.15625 × 13) = $29.0625.
c) To find the maximum donation, we multiply the price per ticket by the total number of tickets sold. So the maximum donation is $29.0625 × 117 = $3,400.3125.
#SPJ11
b. –1.9 pounds
c. –4.5 pounds
d. 1.9 pounds
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis
Step-by-step explanation: