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Andrews [41]
3 years ago
12

Solve.

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

Answer:

1. x > 13

2. x < -2

3. x < 5

Step-by-step explanation:

2x - 3 > 23

<u>→Add 3 to both sides:</u>

2x > 26

<u>→Divide both sides by 2:</u>

x > 13

2x - 3 > 3x - 1

<u>→Subtract 2x from both sides:</u>

-3 > x - 1

<u>→Add 1 to both sides:</u>

-2 > x

5x - 4 < 21

<u>→Add 4 to both sides:</u>

5x < 25

<u>→Divide both sides by 5:</u>

x < 5

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A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long wil
melisa1 [442]
Distance<-------------300--------------><-------------------x----------------->
          ⊕---------------------------------⊕--------------------------------------⊕                      Express                                  Freight                            Overtaking point
   Speed 55                              speed 30

Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:

Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:

Time (freight) = x/30  and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;

55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.

4 0
3 years ago
Read 2 more answers
A rock is thrown from the top of a tall building.The distance in feet between the rock and the ground t seconds after thrown is
marusya05 [52]

Answer:

0.448 seconds

Step-by-step explanation:

d = -16t² -4t + 412

find t when d = 407

substituting d = 407 into the equation:

407 = -16t² -4t + 412 (subtract 407 from both sides)

-16t² -4t + 412 - 407 = 0

-16t² -4t + 5 = 0 (multiply both sides by -1)

16t² + 4t - 5 = 0  

solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with

t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)

or

t = (-1/8) (1 -√21) = 0.448 seconds (answer)

4 0
3 years ago
HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS
tatuchka [14]
You cross multiply/butterfly method so 5•6= 30 and 5•8=40 so it would be 30/40 OR 3/4 simplified
8 0
3 years ago
The last part of question says find temperature at 11pm
andrezito [222]

Answer:

3 deg C

Step-by-step explanation:

Start with -8 deg and add 11 deg.

-8 + 11 = 3

Answer: 3 deg C

5 0
3 years ago
Read 2 more answers
SOMEONE HELP!! ASAP ! I’ll give brainliest !!! <br><br> I need answers for A B and C! Pls and ty!!
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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