Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:


Upon substituting
in 1st equation we will get,

Upon multiplying both sides of our equation by 5 we will get,






Upon substituting y=170 in 2nd equation we will get,


Therefore, Charlene's speed is 34 miles per hour.
a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
Answer:
The required cost is $10,612.8
Step-by-step explanation:
Find the value at t = 3.6:
2948t, t=3,6
Substitute t=3,6
Multiply 2948x3,6
Solution = 10612,8
SAS similarity. the angle degree is the same. if you multiply 14 and 8 by a factor of 7 you get 98 and 56 which means the triangle have the same ratio making them similar. because of this ratio it makes the side similar therefore being a SAS similarity because the angle is between the sides.