Answer:
152
Step-by-step explanation:
180 - 28 = 152
Answer:
The number of students in each van = 14
The number of students in each bus = 43
Step-by-step explanation:
Let the number of students that can fill a van be v.
Let the number of students that can fill a bus be b.
The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.
13 vans will have (13v) students
9 buses will have (9b) students
13v + 9b = 569
High School B rented and filled 14 vans and 3 buses with 325 students
14 vans will have (14v) students.
3 buses will have (3b) students.
14v + 3b = 325
Combining these two simultaneous equations
13v + 9b = 569
14v + 3b = 325
Solving simultaneously,
v = 14 students.
b = 43 students.
Hope this Helps!!!
Answer:
the x-intercepts are (5, 0) and (-3, 0).
Step-by-step explanation:
The standard equation of a vertical parabola with vertex at (h, k) is
y = a(x - h)^2 + k.
Here we are told that the vertex is at (1, -16), which means that h = 1 and y = -16. Thus, we have:
y = a(x - 1)^2 + (-16).
We are told also that the graph passes through (0, -15). Substituting -15 for y and 0 for x, we get:
-15 = a(0 - 1)^2 - 16, or
-15 = a - 16
Then a must be 1, and the equation of the parabola is
y = (x - 1)^2 - 16.
Now to find the x-intercepts: Set y = 0 and solve for x:
0 = (x - 1)^2 - 16, or
(x - 1)^2 = 16, or
x - 1 = ±√16 = ±4
Then x = 1 ± 4, or x = 5 or x = -3, so the x-intercepts are (5, 0) and (-3, 0).
150/4 = 37.5cm. You divide by four because there are four sides on a rectangle. But 37.5 is the cm of a square. Since it says one of the sides is 15cm greater, you subtract 37.5 - 15 = 27.5cm on 2 of the width. While the other 2 lengths are greater than the width by 15 cm, so you add 15 to 37.5 which gives you 52.5cm. So the 2 width are 27.5cm and the length is 52.5cm.
