It would take Samantha 40 minutes to run 5 miles!!!
Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Answer:
y =
x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)
m =
=
= 
The y- intercept c = - 2
y =
x - 2 ← equation of line
Answer:
Number of juice boxes people drank at Williams party = 91
Step-by-step explanation:
Total juice boxes Williams bought = 114
Juice boxes left over at the party = 23
How many juice boxes did people drink at William's party?
Number of juice boxes people drank at Williams party = Total juice boxes Williams bought - Juice boxes left over at the party
= 114 - 23
= 91
Number of juice boxes people drank at Williams party = 91
Answer:

Step-by-step explanation:
Given


See attachment
Required
Find 
First, calculate 
--- angle on a straight line
So, we have:

Collect like terms


Next, calculate PQR

So, we have:

Collect like terms


So, PRO is calculated as:
--- angles in a triangle
So, we have:


Collect like terms

