Answer:
150 miles
distance travelled on the third day = 150 miles
Step-by-step explanation:
Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;
For the first day
distance = 300 miles
time = 6 hours
Speed = distance/time
Speed = 300/6 = 50 mph
on the third day;
time = 3 hours
Speed = speed on first day = 50 mph
distance = speed × time
distance = 50 mph × 3 hours
distance = 150 miles
distance travelled on the third day = 150 miles
Answer:
Step-by-step explanation:
y ∝ x^2
Introducing the proportionality constant, we have
y = kx^2
Given : y= 18 when x = 3
substitute the given values in order to get the constant
i.e 18 = k x 3^2
18 = 9k
k = 2
therefore the formula connecting x and y
⇒ y = 2x^2
To find y if x is 4, just substitute x = 4 into the formula connecting x and y
i.e y = 2 x 4^2
= 2 x 16
= 32
Answer:
x =7 x = -7 2/3
Step-by-step explanation:
| 3x + 1 | =22
Absolute value equations have 2 solutions, one positive and one negative
3x+1 = 22 3x+1 = -22
Subtract 1 from each side
3x+1-1 =22-1 3x+1-1 = -22-1
3x= 21 3x = -23
Divide each side by 3
3x/3 = 21/3 3x/3 = -23/3
x =7 x = -7 2/3
