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2 years ago

In Lucy's coin collection, 15% of the coins are quarters.

Mathematics

1 answer:

stepan [7]2 years ago

5 0

The total number of coins in Lucy's coin collection is equal to 80 coins.

Let the total number of coins be C.

Given the following data:

Percentage of quarters = 15%

Total number of quarters = 12 quarters

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

$\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}$

C = 80 coins.

Read more on word problem here: brainly.com/question/24604067

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Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

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Answer: $4\sqrt{3}$ .

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3 years ago

The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu

ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

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4 years ago