3 years ago

A new car has the following options. 4-cylinder or 6-cylinder; automatic or manual; 2-door or 4-door;

Mathematics

1 answer:

scZoUnD [109]3 years ago

7 0

Answer:

1536

Step-by-step explanation:

4-cylinder or 6-cylinder; 2 options

automatic or manual; 2 options

2-door or 4-door; 2 options

leather or cloth; 2 options

sunroof, moonroof, or neither; 3 options

32 colors; 32 options

Multiply the options together to get the possible number of outcomes

2*2*2*2*3*32

1536

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Answer:

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Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

$\frac{1}{2}$ × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

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Divide both sides by (3x + 15)

b = $\frac{30x+150}{3x+15}$ ← factor numerator and denominator

= $\frac{30(x + 5)}{3(x+5)}$ ← cancel the factor (x + 5) on numerator/denominator

= $\frac{30}{3}$

= 10

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