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MA_775_DIABLO [31]
4 years ago
11

Graph each fraction 7/5

Mathematics
1 answer:
Snezhnost [94]4 years ago
4 0
Decimal form 1.4 mixed number form 1 2/5
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Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.
oee [108]
Okay so say that x=amount invested with 6% and y=amount invested with 9%
x+y=8,500 so > x=8500-y
6%=0.06        <span>9%=0.09</span>
0.06x +0.09y=667.5 (Substitute in x=8500-y so only numbers and y)
0.06(8500-y)+0.09y=667.5 (expand brackets)
510-0.06y+0.09y=667.5 (-510)
0.03y=117.5 (/0.03)
$3916.67=Y  ->9%
X=8500-Y 
x=$4583.33 ->6%
4 0
4 years ago
Factor using the x method <br><br><br> ( please do not answer without showing work )
muminat

Answer:

5(x + 10)(10x - 3)

Step-by-step explanation:

We are factoring

50x^{2} + 485x - 150

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

5(x + 10)(10x - 3)

8 0
3 years ago
Read 2 more answers
2 ways to solve 20=5(-3+x) ?
zzz [600]

Answer:

one way:                another way:

20=5(-3+x)             20=5(-3+x)

4=-3+x                   20=-15+5x

7=x                        35=5x

                             7=x

                             

6 0
3 years ago
A line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line
RoseWind [281]

Answer:y-3=-3/4(x+8)

Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)

8 0
3 years ago
Find the quotient of 9\4 3\8<br>​
alexgriva [62]

Answer:

6

Step-by-step explanation:

9/4/3/8 =9/4*8/3

=72/12

=6

i hope it helps you

6 0
3 years ago
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