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2 years ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)

Mathematics

2 answers:

lozanna [386]2 years ago

5 0

Answer: x=4

Step-by-step explanation:

1.5(x+4)-3=(x-2)

1.5x+6)-3=4.5x-9

1.5x+3=4.5x-9

+9 +9

1.5x+12=4.5x

divide 1.5x and 4.5

12=3x

/3 /3

x=4

Nezavi [6.7K]2 years ago

5 0

Answer: x = - 52

expand

5x+20−3=4.5x−9

then simplify

5x+17=4.5x−9

then subtract 4.5 from each sides

5x+17−4.5x=−9

Simplify

0.5x+17=−9

then subtract 17 from both sides

0.5x=−9−17

then simplify

0.5x=−2

then divide both side by 0.5

-26/0.5

so x = - 52

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andreev551 [17]

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2 years ago

Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of

sukhopar [10]

Answer:

a) The probability is 0.04

b) The probability is 0.36

c) The pprobability is 0,25

d) The probability is 0.09

Step-by-step explanation:

Lets calculate areas:

the target has a radius of 10 inces, hence the target area has a area on 10²*π = 100π square inches.

a) A circle of 2 inches of radius has an area of 2²π = 4π square inches, hence the probability of hitting that area is 4π/100π = 1/25 = 0.04

b) If the dart s within 2 inches of the rim, then it is not at distance 8 inches from the center (that is the complementary event). The probability for the dart to be at 8 inches of the center is 8²π/100π = 64/100 = 16/25 = 0.64, thus, the probability that the dart is at distance 2 or less from the rim is 1-0.64 = 0.36.

c) The first quadrant has an area exactly 4 times smaller than the area of the target (each quadrant has equal area), thus the probability for the dart to fall there is 1/4 = 0.25

d) If the dart is within 2 inches from the rim (which has probability 0.36 as we previously computed), then it will be equally likely for the dart to be in either of the 4 quadrants (the area that is within 2 inches from the rim forms a ring and it has equal area restricted on each quadrant). Therefore, the probability for the dice to be in the first qudrant and within 2 inches from the rim is 0.36*1/4 = 0.09.

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3 years ago

Please help me this is so confusing to me.

Naddik [55]

Hi there! :)

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