Answer:
It will take 10 hours.
Step-by-step explanation:
We know distance = rate * time
Sally's rate = 55
Jim's rate = 65
We want Jim to be 100 miles ahead of Sally
The time will always be the same.
d =Sally's distance
Sally
d = 55t
Jim
d+100 = 65 t
We know have 2 equations with 2 unknowns. Substitute d= 55t into Jim's equations
55t + 100 = 65t
Subtract 55t from both sides.
55t-55t + 100 = 65t-55t
100 = 10t
divide each side by 10
100/10 = 10t/10
10 = t
Answer:
x = 29°
The angles are 137° , 116° , 96° , 44° and 147°
Step-by-step explanation:
The sum of the angles of the polygon is given as 540°. The angles are given as 5x – 8°, 4x°
, 96° , 44°, 5x + 2. Therefore, the value of x can be found as follows
5x – 8° + 4x° + 96° + 44° + 5x + 2° = 540°
collect like terms
5x + 4x + 5x - 8 + 96 + 44 + 2 = 540°
14x + 134 = 540°
14x = 540 - 134
14x = 406
divide both sides by 14
x = 406/14
x = 29°
Therefore, the angles are as follows
29 × 5 - 8 = 137°
29 × 4 = 116°
96°
44°
5 × 29 + 2 = 147°
Answer:
Teo is 11 years old and Richard is 26 years old.
Step-by-step explanation:
Let R be the age of Richard and T be the age of Teo.
<u><em>First set up the equations:</em></u>
The combined age of Teo and Richard is 37:
R+T=37
Richard is four years old than twice Teo's age:
R=2T+4
<u><em>Then, solve the equations:</em></u>
Substitute (2) to (1) and solve for T:
(2T+4)+T=37
3T=11
T=11
Solve for R using (2):
R=2(11)+4
R=22+4
R=26
Hello there!
75 + 35 = 110
110 x 10% = 0.1
110 x 0.1 = 11 ( the 11 is your tax )
75 + 35 = 110
110 + 11 = 121
$121
Hope this helped!
