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madam [21]
3 years ago
10

Two trains leave the station at the same time going in opposite directions. one of the trains travels at 90 mph and the other is

traveling at 120 mph. after how many hours will they be 735 miles apart?
Mathematics
2 answers:
Leokris [45]3 years ago
8 0
Answer: 6.125 hour


Explanation:

Train 1 ===> 1 hour = 90 miles
Train 2 ===> 1 hour = 120 miles

1 hour = 90 + 120 = 210 miles apart

210 miles = 1 hour
735 miles = 735 ÷ 210  = 6.125 hours
vivado [14]3 years ago
3 0

Answer: 3.5

Step-by-step explanation:

210miles

735miles

divide 735/210= 3.5

trust the answer

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7 0
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B) Then solve for x given that the area of the shaded region is 48 square units. Show all your work
nasty-shy [4]

Answer:

10

Step-by-step explanation:

Here it's given that the area of the shaded region is 48 u² and we need to find out the value of x .

The given figure is made up of two rectangles where the smaller one is inscribed into the bigger one .

  • The area of shaded region will be equal to the difference of the areas of the two rectangles , that is equal to 48 u² .
  • The area of rectangle is length × breadth .
  • The dimensions of bigger rectangle is (x+3)(x-4) and that of smaller one is 3 × x .

So that ,

\longrightarrow ar(bigger) - ar(smaller) = 48

\longrightarrow [ (x+3) (x-4)] - 3(x) = 48

\longrightarrow [ x² - 4x +3x -12 - 3x ] = 48

\longrightarrow x² -4x -12 -48 = 0

\longrightarrow x² - 4x - 60 = 0

\longrightarrow x² - 10x + 4x - 60 = 0

\longrightarrow x( x -10) +4(x -10) = 0

\longrightarrow (x +4)(x-10) = 0

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\longrightarrow x = 10

<h3>Hence the required answer is 10.</h3>
8 0
3 years ago
what property is illustrated by the statement 1×y=y? A. MULTIPLICATIVE IDENTY B. COMMUTATIVE C. ASSOCIATIVE PROPERTY OF MULTIPIL
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This has nothing to do with zero. It is not mentioned at all. If y = 0 then D would apply, but no such restriction is present. The answer is not D

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The commutative property could be true, and it is you second best answer (believe it or not) but, 1 * y = y * 1 is kind of trivial. So don't pick B until we find out about A

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A. <<<< Answer.

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The answer would be 8 thousand
5 0
4 years ago
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