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AleksAgata [21]
3 years ago
6

Write a Let" statement for the unknown, write an equation, and solve the equation. 11. Jane bought a number of records for $7 ea

ch. She then spent $3 more for a poster. If she spent a total of $24, how many records did she buy?
Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Let n = number of records.

Each record costs $7, so n records cost 7n.

She then spent $3, so the total spent is 3n + 3.

She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.

7n + 3 = 24

Subtract 3 from both sides.

7n = 21

Divide both sides by 7.

n = 3

Answer: She bought 3 records.

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sveticcg [70]

Hi!

The answer is one

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It looks kinda like this: x=3, y=-4

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I hope this helps!

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2 years ago
What is the solution to this system of linear equations 3x-2y=14 5x+y=32 brainly
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Answer:

x = 6

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Step-by-step explanation:

7 0
3 years ago
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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)

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Answer: 2 1/4

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