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Len [333]
3 years ago
9

Can someone pls answer this question what is 12 +z=15

Mathematics
2 answers:
ANTONII [103]3 years ago
3 0

12 + z = 15


12 - 12 + z = 15 - 12


0 + z = 3


z = 3


postnew [5]3 years ago
3 0

Answer:

z = 3

Step-by-step explanation:

12 + z = 15

You want to know the value of z. You need z alone on the left side. 12 is being added to z. In order to have z alone, you must get rid of the 12 that is being added to z. The opposite operation to addition is subtraction, so you must subtract 12 from the left side to have z alone since 12 - 12 = 0. The rule with equations is that you must do the same operation to both sides of the equation. That means you must subtract 12 from both sides of the equation.

12 + z - 12 = 15 - 12

12 - 12 + z = 3

Since 12 - 12 = 0, you are left with just z on the left side.

0 + z = 3

z = 3

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Answer:

Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w

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Part 3

The width of the box is 8 inch

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Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let <em>l</em> represent the length of the box and let <em>w</em> represent the width of the box, we have;

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The height of the box, h = The length of the cut out square = 2 inches

The volume of the box, V = Length, l × Width, w × Height, h

∴ V = l × w × h

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∴ V = (6 + w) × w × 2

V = 2·w² + 12·w,

The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

∴ 224 = 2·w² + 12·w

Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

∴ (w + 14) × (w - 8) = 0

The zeros for the equation of the function, are w = -14, or w = 8

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We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

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Step-by-step explanation:

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After multiply -7(9) which gets you -63

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

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