The answer is 22 minutes:
20x for Tatsu and 10x for Andy
30x = 11
x = 11/30
11/30 * 60 = 22
Answer: there were 692 visitors on Saturday.
Step-by-step explanation:
Let x represent the number of visitors that were there on Friday.
Let y represent the number of visitors that were there on Saturday.
Let z represent the number of visitors that were there on Sunday.
The theme park had 1099 visitors in 3 days. It means that
x + y + z = 1099- - - - - - - - - - - - - -1
There were twice as many visitors on saturday than on Friday. This means that
y = 2x
x = y/2
There were 234 more visitors on Sunday than on Saturday. This means that
z = y + 234
Substituting x = y/2 and z = y + 234 into equation 1, it becomes
y/2 + y + y + 234 = 1099
Cross multiplying by 2, it becomes
y + 2y + 2y + 468 = 2198
5y = 2198 - 468
5y = 1730
x = 1730/5
x = 346
y = 2x = 2 × 346
y = 692
z = y + 234 = 692 + 234
z = 926
The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The geometry is the combination of the semicircle and right triangle.
Then the area of the geometry will be
Area = 1/2 x 6 x 8 + π/8 x 8²
Area = 4 x 6 + 3.14 x 8
Area = 24 + 25.12
Area = 49.12 square feet
More about the geometry link is given below.
brainly.com/question/7558603
#SPJ1
Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph
Step-by-step explanation:
Let x represent the rate of the jet in still air.
Let y represent the rate of the jet jetstream.
Distance = speed × time
Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,
3050 = 5(x - y)
3050/5 = x - y
x - y = 610 - - - - - - - - - - - - - -1
Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,
3800 = 4(x + y)
3800/5 = x + y
x + y = 760 - - - - - - - - - - - - - -2
Adding equation 1 to equation 2, it becomes
2x = 1370
x = 1370/2 = 685mph
Substituting x = 685 into equation 1, it becomes
685 - y = 610
y = 685 - 610 = 75mph
Let the width be w, then length = 2w - 1
Area = length times width = w(2w - 1) = 21.
Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0
Solving the quadratic equation gives that w = 3.5.
Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.
