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Flura [38]
3 years ago
13

Solve for x. 8(x + 1) - 3(x + 4) = 7(2 - x) 41/3

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
Step 1: Simplify both sides of the equation.
                          7(2-x)(41)
8(x+1)-3(x+4)= ----------------
                                 3

Simplify: (Show steps)
            -287          574
5x-4= ---------- x+ --------
               3               3

Step2: Add 287/3x to both sides.
           287        -287         574      287
5x-4+ -------x= ----------x+ -------+ -------x
              3            3             3          3
302/3x-4=574/3

Step 3: Add 4 to both sides.

302/3x-4+4=574/3+4
302/3x=586/3

Step 4: Multiply both sides by 3/302.

(3/302)*(302/3x)=(3/302)*(586/3)

                                                296
So your answer would be  x= --------
                                                151
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128 is 74% of what number?
just olya [345]
If we know that 128 is 74% of something, we can write it like this:

74%x=128.

If we take the percent away (percent means by hundred in latin, 1%=1/100), we'll have

74/100 *x=128


 //let's multiply both sides by 100, that way we can get rid of the ugly "/100 because 100/100 = 1, and we can ignore 1 in multiplications

100*74/100 *x = 128 *100//             let's simplify the left side: 100/100=1
74*x=128*100//            let's calculate the right side now
74*x=12800// now we have to divide both sides by 74

x=12800/74

if we divde this, we have: 172 + 72/74. (why? see below)
We can simplify the fraction by division by 2: 172 36/37


00172
_______
12800:74
 -74
___
   540
 - 518
 -------
      220
      148
_________
         72

8 0
3 years ago
Read 2 more answers
A house worth $70,000 when purchased was worth $67,000 after the first year and $64,000 after the second year. If the economy do
Citrus2011 [14]

Answer:

a) The formula for the sequence is

a_n = 67,000 -3,000(n-1)

b) a_7 = 49,000

Step-by-step explanation:

Note that the difference between any two consecutive terms in the sequence is always equal to $3,000

67,000-70,000= -3,000\\\\64,000-67,000=-3,000

Then we have an arithmetic sequence where each term increases by a magnitude of 3,000 with respect to the previous term.

The explicit formula for an arithmetic sequence is:

a_n = a_1 +d(n-1)

Where d is the common difference between the consecutive terms of the sequence

d = -3,000

a_1 is the first term, or the value of the house after year 1 a_1= 67,000

n represents the number of years since the house was purchased

With

n={0, 1, 2, 3, 4, 5, 6, 7,.., n}

a) Then the formula for the sequence is

a_n = 67,000 -3,000(n-1)

With

n={0, 1, 2, 3, 4, 5, 6, 7,.., n}

---------------------------------------------------------------------------------------------

b) Now we can use the formula to find the price of the house after 7 years

a_7 = 67,000 -3,000(7-1)

a_7 = 67,000 -3,000(6)

a_7 = 49,000

3 0
3 years ago
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Hope this helps :))
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3 years ago
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