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Alona [7]
3 years ago
11

A train traveled 300 miles in 5 hours. find its rate of speed in miles per hour.

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

60 miles per hour

Step-by-step explanation:

Speed = \frac{Distance}{Time}

You divide 300 by 5 and you get 60. You always need to divide the upper part to the lower part to reach the distance in ONE UNIT OF TIME. There, you have 5 seconds, yet you need the distance in 1 second.

This all is assuming that the train moved at a constant speed, where

ACCELERATION = 0, which is pretty improbable for a train.

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27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
Find the value of x in the figure<br> (X+5)* 90*
ra1l [238]

Answer:

x = 85 deg

Step-by-step explanation:

We can see that there are two straight lines that intersect and that the two angles given are opposite angles.

Because they are opposite angles, the two angles have the same value, i.e

(x + 5) = 90     (subtract 5 from each side)

x = 90 - 5

x = 85 deg

5 0
3 years ago
What is absolute value? can you solve problems using the absolute value?
vesna_86 [32]
An absolute value is positive value of any value. So the abs value of -28 is 28. The abs value of 67 is 67. Makes sense?

If it were |27-3| for example, treat the inside of a abs as parenthesis, so you must complete PEMDAS inside of it to reduce the equation to |24|, unless you wanted it to become |27| - |3|.

For functions, this becomes slightly different and more difficult, especially when adding a variable such as x. Look below for a sample equation.

|2x-3|=1

This equation will actually have (and most others) 2 solutions for x. To find these, you’ll need to multiply the inside of the abs by -1 for one equation, and leave it as it is for the other!

2x-3=1 -(2x-3)=1

Now you have to solve BOTH equations to get your correct x-value answers.

For the first listed equation:

2x=4

x=2

For the second listed equation:

-2x+3=1

-2x=-2

x=-1

So you get the x-values -1 and 2 which both make the parent function true!
3 0
3 years ago
Read 2 more answers
Help me please with 1-8
lora16 [44]
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8 0
3 years ago
The diameter of a circle is 1034 inches.
Murrr4er [49]

Answer:

517

Step-by-step explanation:

The radius of a circle is just half of the diameter (1/2d = r)

1034/2 = 517

7 0
2 years ago
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