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erica [24]
2 years ago
15

Natalie has 412 apples that she must package into bags. Each bag must hold 8 apples. Natalie divides 412 by 8 and gets an answer

of 51 R 4. What is the correct interpretation of R 4 for this situation? 1. Natalie can fill 4 more bags after filling 51 bags. 2. Natalie has 4 bags left after filling 51 bags. 3. Natalie has 4 apples left after filling 51 bags. 4. Natalie can fill at most 51 bags with 4 apples each.
Mathematics
1 answer:
valentina_108 [34]2 years ago
3 0

Answer:

3.

Step-by-step explanation:

The answer is 51 R4, meaning that 54 bags HAVE been filled and 4 apples are the remainder. Therefore, there are 4 apples that have not been bagged and Natalie would need another bag to bag all the apples.

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Step-by-step explanation:

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3 years ago
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Montano1993 [528]
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y = x - 1

|x² - 3x + 1| = x - 1
|x² - 3x + 1| = ±1(x - 1)
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|x² - 3x + 1| = 1(x) - 1(1)    or    |x² - 3x + 1| = -1(x) + 1(1)
|x² - 3x + 1| = x - 1        or         |x² - 3x + 1| = -x + 1
  x² - 3x + 1 = x - 1         or          x² - 3x + 1 = -x + 1
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  x² - 4x + 1 = -1           or            x² - 2x + 1 = 1
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  x² - 4x + 1 = 0              or           x² - 2x + 0 = 0
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3 years ago
Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

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3 years ago
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