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Zepler [3.9K]
3 years ago
7

Show the steps on solving

Mathematics
1 answer:
inna [77]3 years ago
3 0
0.3(12x-16) = 0.4(12-3x)
0.3 is easier written as 3/10 and 0.4 easier written as 2/5, but in this case, 4/10 would help with the other fractions

3*12x/10-16*3/10 = 12*4/10 - 3x*4/10

36x/10-48/10 = 48/10 - 12x/10

since all the fractions are divided by 10, you can remove them totally by multiplying everything with 10

36x-48 = 48 - 12x

36x + 12x = 48 + 48

Here we moved the numbers, by adding them to both sides

48x = 48*2
we can find x by dividing by 48

x = 48*2/48
since we have a 48 both over and under the fraction we can cross out both

x = 2/1 = 2
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Answer:

147.18 Kgs

Step-by-step explanation:

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325/2.2=kg

147.18 Kgs

<em>Hope his helped! Have a good day!</em>

<em>All rewards appreciated!</em>

6 0
2 years ago
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3 years ago
Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
I need help with number 8 please. if you don't mind can you show your work so I know how to do it? Thanks in advance! :)
Trava [24]
You have to divide both sides by 5 because it states"5t" and you should get "t=20"
7 0
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The gas tank on your lawn mower holds 1/8 gallon of fuel. You can mow 2 1/4 lawns with one tank of fuel. At this rate, how many
blagie [28]
At 1/8 of a gallon you can mow 2 1/4 so for 1 gallon just multiply 2 1/4 by 8
16+2 is 18
5 0
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