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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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Determine the center and radius of the following circle equation:

UkoKoshka [18]

Answer:

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Step-by-step explanation:

Explanation:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

x² +10 x + y² + 20 y +109 =0

x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

By using formula

(a+b)² = a² + 2 a b + b²

(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0

(x + 5 )² + ( y + 10 )² - 16 = 0

(x + 5 )² + ( y + 10 )² = 16

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle ( x - h )² + ( y -k)² = r²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Conclusion:-

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

3 0

3 years ago

I don’t know what to here

34kurt

Paticatita loopiana questionooo

5 0

3 years ago

Someone please help me with this and explain it please.

Yuki888 [10]

<h3>Answer: Choice D) $\sqrt{34}, 6, 2\pi, \sqrt{42}$ </h3>

===========================================

Explanation:

Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)

2pi = 6.28
sqrt(42) = 6.48
sqrt(34) = 5.83

We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48

So the order of the terms, from smallest to largest, is $\sqrt{34}, 6, 2\pi, \sqrt{42}$

5 0

3 years ago

Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $15

Readme [11.4K]

You are going to write 7% as a fraction thusly 7/100
Then you are going to multiply it with the cost price
Therefore it will be 7/100x150

8 0

3 years ago

Read 2 more answers

Find the measure of XY. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth

Slav-nsk [51]

Answer:

Solution given:

7x-29=2x+16[length from the circumference of circle is equal to same point]

7x-2x=16+29

5x=45

x=45/5=9

now.

XY=2×9+16=18+16=34 is your answer

5 0

3 years ago