The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:

car a
y = 55x + 32

car b
y = 42x + 58

after how many hours will the two cars be at the same distance from their starting point and what will that distance be?

2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles

Option A is correct

2 hours, 142 miles

Step-by-step explanation:

As per the statement:

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:

Car A

y = 55x + 32             ....[1]

Car B

y = 42x + 58             ....[2]

We have to find after how many hours will the two cars be at the same distance from their starting point.

Since, two cars be at the same distance

equate [1] and [2] ;

⇒

Subtract 42x from both sides we have;

⇒

Subtract 32 from both sides we have;

Divide both sides by 13 we have;

x = 2 hours

Substitute in [1] we have;

miles

Therefore, after 2 hours  will the two cars be at the same distance from their starting point and 142 miles will that distance be

the answer is $4.45. i started by figuring out the cost of the plates and napkins. the easiest way to figure this cost out is through the tax. we know the way they found the tax is by multiplying the cost of non-food items by the tax rate (5% or 0.5). so, all we have to do to find the cost before tax is set up an equation and work this formula backwards. the equation is 0.19=0.05x where x is the cost of the plates and napkins. now all you do is divide both sides by 0.05 to come up with 3.8=x. now that we know the cost of the plates and napkins is $3.80, all we have to do is subtract this cost from the total cost of $8.25 giving us the cost of the watermelon which is $4.45.

38

step-by-step explanation:

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