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weeeeeb [17]
3 years ago
13

Three times a certain number decreased by 2 equals to nineteen​

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

7

Step-by-step explanation:

x equals a certain number

3x - 2 = 19

add 2 both sides

3x=21

divide 3 both sides

x=7

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Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
Somebody help me please
posledela
130 degrees.

ADB = 90 degrees
BDT=40 Degrees

Therefore, TDS = ADB(90)+BDT(40)=130 degrees 
8 0
3 years ago
7/10-1/2=<br> what is seven tenths minus one half
Setler [38]
You could make them have the same denominator, making it 7/10-5/10=2/10. 
The answer is 2/10, or simplified, 1/5.
5 0
3 years ago
Use the function rule z = 2x + 3.
musickatia [10]

Step-by-step explanation:

Z = 2x + 3

Putting value of x

Z = 2( - 16.7) + 3

Z = - 33.4 + 3

Z= - 30.4

Option B is the correct answer

3 0
2 years ago
Solve the equation and give explanation
Vedmedyk [2.9K]

Answer:

31

Step-by-step explanation:

(-1-2)^2+(-5-1)^2

(1+4)+(25+1)

5+26

31

4 0
3 years ago
Read 2 more answers
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