12.15 km /h
Step-by-step explanation:
Step 1 :
Given
Distance between Airy Town to Brightvale = 9 km
Speed of Ricky = x km/h
Step 2:
Speed taken by Sam = x + y km/h
Time taken by Sam = 40 min = 40/60 hrs = 2/3 hrs
so we have (x+y) 2/3 = 9
Step 3:
Speed taken by Timothy = x - y km / h
Time taken by Timothy = 50 min = 50/60 = 5/6 hrs
= > (x-y) 5/6 = 9
Step 4 :
Solving the 2 equations
(x+y) 2/3 = 9 and (x-y) 5/6 = 9 we have
(2/3)x + 2/3(y) = 9 = > 2x + 2 y = 27
5/6(x) - 5/6(y) = 9 = > 5 x - 5 y = 54
Multiplying the first equation by 5 and the second by 2 we have ,
10 x + 10 y = 135 and 10 x - 10y = 108
Adding both,
20 x = 243 => x = 12.15.
This gives speed of Ricky as 12.15 km /h
Answer:
2sqrt(13)
Step-by-step explanation:
x = sqrt(36 + 16)
x = sqrt(52)
x = sqrt(4*13) = 2sqrt(13)
<h3>
Answer: x = 155</h3>
Explanation:
Glue the two right triangles together to form one larger triangle.
The angle adjacent to the 60 degree angle is 180-60 = 120 degrees.
The angle adjacent to x is 180-x
The larger triangle has the interior angles of:
Those three angles add to 180 (which is true of any triangle)
35+120+180-x = 180
335-x = 180
-x = 180-335
-x = -155
x = 155
Or you can note that 35+120 = 155 which is the summation of the interior angles that aren't adjacent to exterior angle x (refer to the remote interior angle theorem, aka the exterior angle theorem).
Answer:
20
Step-by-step explanation:
The answer is B) <span>(60 - 4x)(50 + 2x) = 2,800
The revenue without any change in price is:
$60/student x 50 students = 3,000
Every price drop reduces the price/student by four, so the first term, which describes the fee per student, is 60 - 4x
Every price drop also increases the number of students by two, so the second term, which describes the number of students, is 50 + 2x</span>