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AleksandrR [38]
3 years ago
6

Solve for X 8^3x-10 =4^6x-27 Thanks in advance!

Mathematics
1 answer:
dlinn [17]3 years ago
6 0

8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}

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LCD of 1/15 and 9/10
soldi70 [24.7K]

The LCD of the 2 fractions is 30 by multiplying the first fraction by 2 and the second fraction by 3 for example:

1/15 x 2/2 = 2/30

9/10 x 3/3 = 27/30

Which these 2 fraction equals up to 29/30 Hope this helps my dude ^^

5 0
3 years ago
Jon Deposits $14,500 into an account paying 5% annual interest compounded quarterly and Sara deposits $16,250 into an account pa
kherson [118]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Jon:

Initial investment (PV)= $14,500

Interest rate (i)= 0.05/4= 0.0125

Number of periods (n)= 4 quarters

Sara:

Initial investment (PV)= $16,250

Interest rate (i)= 0.04/365= 0.00011

Number of periods (n)= 365 days

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+ i)^n

Jon:

FV= 14,500*(1.0125^4)

FV= $15,238.71

Sara:

FV= 16,250*(1.00011^365)

FV= $16,915.67

Sara will have $1,676.96 more than Jon.

4 0
2 years ago
2.5 lb equals how many cups​
ziro4ka [17]

You can't really convert that becasue cups is a volume and pounds is a weight. If I have a cup of feathers and a cup of iron filings, then the iron filings will weigh much less than the feathers. A cup different items would not have the same weight - if you know what I mean.

4 0
3 years ago
What is the reciprocal of (17h)/(46j)?
shepuryov [24]

Answer:

I dont give the answer right away so you read what i write and fully understand :D

Step-by-step explanation:

The reciprocal of something is basically when you flip something over. Since 17h/46j is a fraction, the reciprocal is 46j/17h. Remember, a number times the reciprocal is always equal to one.

4 0
3 years ago
Read 2 more answers
Number 8 pls giving brainlyist
Gekata [30.6K]

Answer:

the option number 4

Step-by-step explanation:

Hi love,

so the first step is to subtract

4/3x+7=-5

4/3x=-5-7

4/3x=-12

6 0
3 years ago
Read 2 more answers
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