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alina1380 [7]
3 years ago
12

An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You Buy an album for $1

2 right and solve any quality that represents how much more money and we will spend to receive the three free songs
Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

need to spend $18 more in addition to $12

Step-by-step explanation:

Given: According to online music store, if you spend $30 or more, you receive 3 songs for free

To find: How much more money need to be spend in addition to $12 to receive three free songs

Solution:

Let x denotes amount to be spend in addition to $12 to receive three free songs

According to question,

x+12\geq 30\\x\geq 30-12\\x\geq 18

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The area A of a square is the length of side L sqaured
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Answer:

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The edge of a cube was found to be 30 cm with a possible error in measurement of 0.5 cm. Use differentials to estimate the maxim
IgorLugansk [536]

Answer:

for the volume a cube

Possible error = 1350cm³

Relative error = 0.05

Percentage error = 5%

For the surface area of a cube

Possible error = 180cm²

Relative error = 0.0333

Percentage error = 3.33%

Step-by-step explanation:

A cube is a three dimensional solid object with six (6) faces, twelve (12) edges and eight(8) vertices.

The volume of a cube = x³

Where x= length of the edge of a cube

X = 30cm 0.5cm

Differentiate V with respect to x (V = Volume of a cube)

dV/dx= 3 x²

dV= 3 x² . dx

dV = 3 × 30² × (0.5)

dV= 2700(0.5)

= 1350cm³

Maximum possible error = 1350cm³

Relative error = possible error /Volume

= dV/V

Recall that V = x³

V= (30)³

A = 27000cm³

Substitute the values for and V into the formula for Relative error

Relative error = 1350/27000

Relative error = 0.05

% error = Relative error × 100

= 0.05× 100

= 5%

Surface Area of a cube = 6x²

A = 6x²

Differentiate A with respect to x

dA/dx = 12x

dA/dx = 12x . dx

= 12 × 30 (0.5)

= 180cm²

Maximum possible error = 180cm²

Relative error = possible error / surface area

= dA/A

Recall that A = 6x²

A = 6(30)²

A = 5400cm²

Substitute the values for and A into the formula for Relative error

Relative error = 180/5400

Relative error = 0.0333(4 decimal place)

% error = Relative error × 100

= 0.0333 × 100

= 3.33%

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3 years ago
Write an inequality for the graph. Then, in words, describe all the values of x that make inequality true.
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<h3>Inequality functions </h3>

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11) The equivalent inequality for the number line is x ≥-5. This shows that the values of x that make it true must be greater than or equal to 8.

Note that the sign is  greater than or equal to because the circle is closed and moves towards the right of the number line

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