Discount = 35/100 * 40 = $14
Price = $40- $14 = $26
The time spent for each activity can be found writing an equation based on
the known parameters.
- The duration of the time Stanley spent running is <u>1.5 hours</u>
- The duration of the time Stanley spent swimming is <u>1 hour</u>
- The duration of the time Stanley spent Biking is <u>3 hours</u>
- The distance Stanley cover while biking is <u>48 miles</u>
<u />
Reasons:
The running speed = 9 mph
The biking speed = 16 mph
Swimming speed = 2.5 mph
The time spent running = 0.5 hour + Time spent swimming
Biking time = 2 × Running time
The total distance covered = 64 miles
Required:
Time spent running, swimming, and biking
Solution:
Let <em>t</em> represent the time Stanley spent swimming, we have;
(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64
43.5·t + 20.5 = 64
43.5·t = 64 - 20.5 = 43.5
- The time Stanley spent swimming, t = <u>1 hour</u>
The time Stanley spent running = 0.5 + t
Therefore;
The time spent running = 0.5 hour + 1 hour = 1.5 hour
- Time spent running = <u>1.5 hours</u>
Time spent biking = 2 × Running time
Therefore;
- Time spent biking = 2 × 1.5 hours = <u>3 hours</u>
- The distance Stanley cover while biking, d = 3 × 16 mph = <u>48 miles</u>
<u />
Learn more here:
brainly.com/question/23206880
Answer: Tyler mowed the lawn 4 times
Step-by-step explanation:
Let x = number of times that he does laundry
Let y = number of times that he mows the lawn
In one month, he does the laundry 6 more times than he mows the lawn. This means
x = 6 +y
Tyler's parents pay him $ 0.75 to do the laundry and $ 1.75 to mow the lawn. If his parents pay him $ 14.50 that month, it means that
0.75x + 1.75y = 14.5 - - - - - - -1
Substituting x = 6+y into equation 1, it becomes
0.75(6 + y) + 1.75y = 14.5
4.5 + 0.75y + 1.75y = 14.5
0.75y + 1.75y = 14.5 - 4.5
2.5y = 10
y = 10/2.5 = 4
x = 6 + y = 6 + 4
x = 10
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
Answer:
A
Step-by-step explanation:
We can calculate this using circle theorems
The correct circle theorem to use here is that angle at center is 2 times angle at circumference
The angle we want to calculate here is the angle at circumference but we were given the angle at the center
So the value of the angle at the circumference would be 108/2 = 54
