<u>Annotation</u>General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.
One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)
The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)
Plug the d-v-t relationship to the second equationd₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262
Plug the v₁ as (v₂+5) from the first equation2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.Find the velocity of the first car, use the first equationv₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.
Answer


1. Start with y=sx+m and input the slope of the line given, because the two lines are parallel they have the same slope. Then input the X and Y coordinates of point X to get 10=-1/2-5+m and finally solve the equation to get m=-7.5 or -15/2 making slope intercept form Y=-1/2-5-15/2
2. Follow the same instructions imputing 1/2 in as the slope because it is perpendicular to the line. so you get 10=1/2-5+m. solve to get m=7.5 or 15/2 making the final equation Y=1/2X+15/2
Answer:
Eric's expression is :

and Andrea's is :

In Eric's expression, 20 represents the initial amount of substance with which he has started the experiment.
is the amount of substance left after each time period (in this case, each week).The variable w in this case represents the number of weeks.
Andrea's expression can be written as :

The one outside of parentheses represents the initial amount of the substance. The one inside of parentheses represents 100% of the original amount of the substance. 0.5 represents the 50% of the substance that is lost each time period. The variable w in this case represents the number of weeks.
Answer:
factor of 6 and 5
Step-by-step explanation:
Answer:
¿en qué periodos le tocará participar?
El equipo cuatro participa en el periodo 5 - 11 - 17
¿Todos los equipos participarán el mismo número de veces?
Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces
¿Por qué?
Cuatrimestre. = 120 dias
Numero de semanas = 120/ 7 17,1
17 semanas completas 3 dias
No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.
Son 6 equipos para participar todos serian por lo menos 17 semanas 1 dia.
Step-by-step explanation:
Cuatrimestre. = 120 dias
Numero de semanas = 120/ 7 17,1
17 semanas completas 3 dias
No se trabaja la primera semana. por lo que quedan 16 semana 3 dias.
Son seis equipos. 17 ( 16,3) semanas / 6
Todos los equipos los hacen 3 veces . menos 1 equipo que lo hace 2 veces
Semana 1 2 3 4 5 6
Equipos
1
2 X
3 X
4 X
5 X
6 X
7 X
8 X
9 X
10 X
11 X
12 X
13 X
14 X
15 X
16 X
17 X
18 X