Answer:
Step-by-step explanation:
13. 35ft * 6cm = 210
14. 35ft * 3.2cm = 112
660 feet
given distance varies directly with time (t) then
d = kt ( k is the constant of variation )
find k using the condition d = 264 when t = 0.5
k =
=
= 528
thus d = 528t
when t = 1.25
d = 528 × 1.25 = 660 feet
Answer:
a. 
b. 
Step-by-step explanation:
a. Radius of semicircle (r) = r
Diameter of semicircle (d) = 2r
Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r
Distance around the track (p) = circumference of circle + 2(l)
Note: the two semicircles of the track = 1 full circle
Circumference of full circle = πd = π*2r = 2πr
Distance around the track:
p = 2πr + 2(4r)
p = 2πr + 8r
b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

Factor out r

Divide both sides by (2π + 8)



System of Equations
For the problem to solve we'll use the following variables:
x = number of the early bird tickets sold
y = number of the regular tickets sold
Haley sold a total of 20 tickets, thus:
x + y = 20 [1]
Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:
10x + 15y = 225
Dividing by 5:
2x + 3y = 45 [2]
We have to solve the system of equations [1] and [2].
Multiply [1] by -2:
-2x - 2y = -40 [3]
Add [3] to [2]:
-2x - 2y +2x + 3y = -40 + 45
Simplifying:
y = 5
Substituting in [1]:
x + 5 = 20
Subtracting 5:
x = 20 - 5
x = 15
Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets
The order pair solution is (15,5)
Answer:
64
Step-by-step explanation:
To find m, it has given you √x = 8. The opposite of a square root is squaring (exponentials). Simply just square 8 and you should get x = 64. You can check by square rooting 64, and you should get 8.