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jolli1 [7]
3 years ago
10

2 consecutive even numbers add to equal 178. What is the smallest of the 2 numbers?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

Answer:

The smallest number is 88

Step-by-step explanation:

Let

x ----> the first consecutive even number

x+2 --->the second consecutive even number

we know that

The linear equation that represent this problem is given by

x+(x+2)=178

solve for x

2x=178-2\\2x=176\\x=88

so

x=88\\x+2=88+2=90

therefore

The smallest number is 88

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Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

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+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

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Start time when the 2nd train leaves

---------------------

Equation for 1st train:

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Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

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and

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------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

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and

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2 years ago
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Also, the range of the function and the domain of its inverse are equal as well.

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3 years ago
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