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3 years ago

Twice the sum of two numbers is 24. if one number is 2 times larger than the other, what is the smaller of the two numbers?

1 answer:

4 0

2(x+y)=24
2x=y

Use substitution. If y=2x, than we can substitute 2x for it in the other equation, because x and y equal the same things in both equations.

So using that we get 2(x+2x)=24

SIMPLIFY
2(3x)=24

DISTRIBUTE
6x=24.

DIVIDE: x=4.

If we substitute x into the original equations we get x=4 and y=8. Those are your two numbers.

Have a nice day! :)

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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

1. Two dice are thrown at the same time . What is the probability that the sum will be 7 or 11 ?

netineya [11]

Answer:

1. 0.2222222

2. .6667

Step-by-step explanation:

for question 1

there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222

for question 2

divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)

8 0

3 years ago

Read 2 more answers

Suppose you want to factor the expression x2+ 2xn+n2. Given that n> 0, what are the factors? Explain.

spin [16.1K]

Answer:

(x + n)^2

Step-by-step explanation:

Okay! Let's get this going!

(x + n ) ^2 is correct because first we get

x^2 and n^2. Yet we need to add one more part to this to make it true which is x * n. We multiply this by two since according to the formula (a + b)^2 = a^2 + 2ab + b^2

3 0

3 years ago

Read 2 more answers

Write down, the three odd numbers in terms of ‘n’ whose middle term is ′2n − 1′

Afina-wow [57]

Answer:

but what is the value of term 'n'

Step-by-step explanation:

n=3

2n-1

2×3-1

6-1