3 years ago

If you divide a number by 7 which number could the remainder not be 2, 5, 6, 8,

1 answer:

8 0

Answer:

21 divided by 7 is 3.

Step-by-step explanation:

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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

lawyer [7]

Answer: 4.5 units

Step-by-step explanation:

6 0

3 years ago

Serhud [2]

The given statement is:

41 fewer than the quantity t times 307 is equal to n.

The equation is given by:

$307t-41=n$

3 0

1 year ago

Artist 52 [7]

$\frac{7}{8}*x=42 \\ \\x=42: \frac{7}{8} \\ \\ x=42* \frac{8}{7} \\ \\ x= \frac{336}{7} \\ \\ \boxed{x=48}$

3 0

3 years ago

mash [69]

Answer:

Step-by-step explanation:

7 0

3 years ago