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Sedbober [7]
3 years ago
15

Two automobiles start together at the same place and travel along the same route. the first averages 40 miles per hour, the seco

nd 55 miles per hour. how many miles further along the route is the second auto at the end of five hours
Mathematics
2 answers:
erastovalidia [21]3 years ago
3 0

55 mph minus 40 mph = 15 miles distance for each hour


So 5 hours * 15 = 75 miles difference after 5 hours



stellarik [79]3 years ago
3 0

55 mph minus 40 mph = 15 miles distance for each hour


So 5 hours * 15 = 75 miles difference after 5 hours



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A regular hexagon has sides of 3 feet. What is the area of the hexagon?
frosja888 [35]

Answer:

13.5\sqrt{3}\:\text{ft}^{2}

Step-by-step explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is \frac{3\sqrt{3} }{2} a^{2}

Here, the side is 3 feet

So, area of the regular hexagon

=\frac{3\sqrt{3} }{2} \times3^{2}

=\frac{3\sqrt{3} }{2} \times9

=\frac{27\sqrt{3} }{2}

=13.5\sqrt{3}\:\text{ft}^{2}

Hence, area of the regular hexagon is 13.5\sqrt{3}\:\text{ft}^{2}

6 0
3 years ago
5000 containers are stacked 20 wide and 50 long on a ship. How many containers high are they? Pls answer and give explanation, t
shutvik [7]

Answer:

5 containers high

Step-by-step explanation:

Given that :

Given :

Width = 20 containers

Length = 50 containers

Total containers = 5000

Hence,

Total containers = width * length * height

5000 = 20 * 50 * height

5000 = 1000 * height

Height = 5000 / 1000

Height = 5 containers

3 0
3 years ago
The solution to the system is (6,2) Select all the equations that could be the other equation in the system. PLZ HELPPPPPP there
Dovator [93]

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The attached graph shows which lines go through the given point. They are ...

  y = 1/2x -1 . . . . 1st selection

  y = -1/6x +3 . . . 3rd selection

__

The equations can be found algebraically by substituting the given point in the equation and seeing if the result is a true statement.

  a) 2 = (1/2)(6) -1 = 3 -1 . . . true

  b) 2 = -3(6) . . . . false

  c) 2 = -1/6(6) +3 = -1 +3 . . . true

  d) 2 = 2/3(6) -1 = 4 -1 . . . . false

  e) 2 = 4(6) -2 = 24 -2 . . . . false

  f) 2 = -3/2(6) +6 = -9 +6 . . . . false

6 0
2 years ago
-(1/x+3) +4
nlexa [21]

9514 1404 393

Answer:

  • left 3 units
  • up 4 units
  • shape: lower left image

Step-by-step explanation:

For a parent function f(x), the transformations ...

  g(x) = a×f(x -h) +k

cause ...

  • vertical expansion by 'a', reflection over x-axis if negative
  • right shift by 'h'
  • up shift by 'k'

Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...

  horizontal shift left 3 units

  vertical shift up 4 units

  reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)

4 0
2 years ago
Which equations support the fact that rational numbers are closed under subtraction? Select each correct answer
noname [10]

The rationals being closed under subtraction means that if we start with two rational numbers and subtract them, we get another rational number.  Choice c subtracts two rational numbers but gets the wrong answer, so isn't support for anything.  Choice b is rational too because the square root of 4 is 2.

Answer: b

8 0
3 years ago
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