Answer:
<u>Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Bill can run 440 yards in 55 seconds
Bill speed = 8 yards per second (440/55)
Jack can run 440 yards in 88 seconds
Jack speed = 5 yards per second (440/88)
2. How great a handicap must Bill give Jack for the boys to finish the race at the same time?
The total duration of the race will be 55 seconds
Using Rule of Three Simple, we have that:
Jack will run 55 * 5
Jack will run 275 yards in 55 seconds
Bill must give Jack a handicap of 440 - 275 yards
Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.
The perimeter is 320. Just multiply 80 times 4
Answer:
The numbers are 12 and 19.
Explanation:
x - first number
y - second number
{x + y = 31
{x = y + 7
{x + y = 31
{x - y = 7 (+)
----------------------------
x + x + y - y = 31 + 7
2x = 24
x = 12
{x = 12
{12 + y = 31
{x = 12
{y = 19
Well to find the values of the variables, you would have to use the Pythagorean Theorem. The Pythagorean Theorem states that a²+b²=c². A being one side of the triangle, b being the other side, and c being the hypotenuse. The hypotenuse is the slanted and the longest side of a right triangle. So let's find the the total amount of x and y. 5+7=12 Just plug in the numbers into the equation 12²+5²=c² C would equal 13. So we know that x+y=13. If we plug in 7 and 5 into the equation (solving for y) 7²+5²=c², C would equal 8.6. To find x just do 13-8.6 and we get 4.4. So we know that y=8.6 and x=4.4. Hope I helped!
