Answer:
1.43 hours
Step-by-step explanation:
Given that:
Speed of plane A = 40 mph
Speed of plane B = 100 mph
Distance between plane A and B = 200 m
In how many hours will they meet?
Recall :
Distance = speed * time
Let the time traveled by each plane = t
Since the total distance apart = 200m
Hence,
Plane A distance + Plane B distance = total distance
40t + 100t = 200
140t = 200
Divide both sides by 140
140t / 140 = 200 / 140
t = 1.4285 hours
t = 10/7 hours or 1.43 hours
Answer:
Vans is worth about $3 billion dollars, id say who cares, shes a billionare.
Answer:
a) Cost of the child-care center: y = 300 + 79x
Cost of the family-run childcare: y = 180 + 93x
Where x is the number of weeks.
b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center.
c)The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.
Step-by-step explanation:
Hi there!
a)Let y be the cost of childcare. In the child-care center, the cost is 300 plus 79 per week. Let x be the number of weeks, then the cost function for the child-care center will be:
y = 300 + 79x
In the same way, the cost of the family-run childcare will be:
y = 180 + 93x
b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center. Let´s calculate the cost of both childcare options for low values of x:
Child-care center:
y = 300 + 79 x
x = 0, y = 300
x = 1, y = 379
x = 2, y = 458
x = 3, y = 537
x = 4, y = 616
Family-run:
y = 180 + 93x
x = 0, y = 180
x = 1, y = 273
x = 2, y = 366
x = 3, y = 459
x = 4, y = 552
c) We have to find the value of x for which the cost of the family-run childcare is greater than the cost of the child-care center:
cost family-run > child-care center
180 + 93x > 300 + 79 x
93x -79x >300 - 180
14x > 120
x > 120/14
x > 8.6
The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.
Answer:
The answer is 
or approx. 10,25.
Step-by-step explanation:
Now let's find EF.
Now let's finally find DE.
Step-by-step explanation:
tan30 = 14/x
x = 14tan30
x = -89.7
