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

Answers

Answer 1
Answer:

Answer:

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] ;

55x+32 = 42x+58

Subtract 42x from both sides we have;

13x+32 =58

Subtract 32 from both sides we have;

13x=26

Divide both sides by 13 we have;

x = 2 hours

Substitute in [1] we have;

y = 55(2)+32 = 110+32 = 142 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

Answer 2
Answer: 2hrs, 142miles
42x+58=55x+32
13x=26
x=2hrs <---- answer
42*2+58=142
55*2+32=142mi <----answer

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Answers

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-10x + 3 =  -x + 21

+ 10 x            +10x
--------------------------
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Answers

Answer:

  4.21747×10^-5

Step-by-step explanation:

Your calculator can do the division for you. The ratio is about 4.21747×10^-5.

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If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2). (–2, 0) (0, –2) (5, –7) (5, –2)

Answers

Answer:

(0, –2)

Step-by-step explanation:

I am assuming that point 'B' is (-5 , 0).

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Apply the rule to point 'B':

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Answer:

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Step-by-step explanation:

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Answers

Answer:

(4, 7 )

Step-by-step explanation:

given the 2 equations

3x - 8y + 44 = 0 → (1)

7x = 12y - 56 ( subtract 12y - 56 from bpth sides )

7x - 12y + 56 = 0 → (2)

multiplying (1) by 7 and (2) by - 3 and adding the result will eliminate x

21x - 56y + 308 = 0 → (3)

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add (3) and (4) term by term to eliminate x

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solution is (4, 7 )

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Answers

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Answers

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Output values are 4 1 4 2 4 3

Here table b  represents a function, the reason being that for each value of input, there is one and only one value of output.

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Answer:

Table B is the functioning table.