Answer:92.4
Step-by-step explanation:
4x+7x=132
10x=132
x=132/10
x=13.2
4x=4×13.2
=52.8
5x=7×13.2
=92.4
Answer:

Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to find the solution the the given system,
3y - 2x = -9
y = -2x + 5
So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.
3(-2x + 5) - 2x = -9
Distribute
-6x + 15 - 2x = -9
-8x + 15 = -9
-15 to both sides
-8x = -24
Divide -8 to both sides
<u>x = 3</u>
<u />
Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.
y = -2(3) + 5
y = -6 + 5
<u>y = -1</u>
<u><em /></u>
So the solution is (3,-1).
<em />
<em>Hope this helps :)</em>
Answer:
10%
Step-by-step explanation:
The multiples of 2 are 2,4,6,8,10, and so on
The multiples of 5 are 5, 10, 15, 20 , 25, and so on
It is evident that the only one that matches up between 1-10 is 10.
There are 10 options, and our chances are random. There is only 1 option for it to be a multiple of both 2 and 5. Therefore, the probability is 1/10, or 10%
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:

We can write this as:

If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:

Then we have the inequality

And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
The first one is -5
The second one is -4