There are 36 quarters in my coin collection. If my coin collection has 45% quarters, how many total coins do I have?

Answers

Answer 1

9514 1404 393

Answer:

  80

Step-by-step explanation:

If N is the total number of coins, then the number of quarters is ...

  36 = 0.45×N

 36/0.45 = N = 80

You have 80 coins you your collection.


Related Questions

(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2​

Answers

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

The intersection of the unit circle a circle

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

what is the slope of the line that passes through 4,-2 and -8,6

Answers

Answer:

Slope is -2/3

Step-by-step explanation:

How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.

Answers

Answer:

C, you can use rotations to describe a change in the position of a figure.

factor out the gcf from each polynomial 30x^2-18x^3+6x^4

Answers

Answer:

43

Step-by-step explanation:

Find two positive consecutive integers such that the square of the first added to three times the second is 24

Answers

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?

Answers

x+(x+1)=425
2x+1=425
2x=424
x=212

Therefore, Brian is on page 212.

Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented

Answers

Answer:

A

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times in the data set while the other values appear only once.

Mode is a measure of central tendency

Other measures of central tendency includes : mean and median

Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most

Blue has the highest relative frequency value

Somebody please help and explain it.

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Can someone answer this for me quickly!

Answers

Answer:

0.5

Step-by-step explanation:

If the 30 is in degrees, then the answer is 1/2 or 0.5. If the 30 is in radians, then your answer is -1.0.

Answer:

x = [tex] \boxed{\dfrac{1}{2}} [/tex] units

[As a fraction]

x = [tex] \boxed{0.5} [/tex] units

[As a decimal]

The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

108.62ft

Step-by-step explanation:

12348=⁴/3×3.14×r²

r²=12348×¾÷3.14

r²=2,949.36

r=squareroot of 2,949.36

r=54.308

d=2r

d=54.308×2

d=108.616

How many points need to be removed from this graph so that it will be a function?

Answers

I think 4 I’m not sure

Pind the distance between -5 and 8.

Answers

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

---

hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3

8 folders cost $25.20. Write an equation to determine the cost of 3 folders.

Answers

Answer:

9 dollars and 45 cents

Step-by-step explanation:

First find the price of one folder.

$25.20 divided by 8 = $3.15

Then, multiply by 3.

$3.15 x 3 = $9.45

(I accidentally used 3.18 instead of 3.15. Someone corrected me.)

Answer:

25.20 divided by 8 = $3.15 x 3 = 9.45

Step-by-step explanation:

used a calculator, Hope this helps!

The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)

Answers

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)​

Answers

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Okay have posted the next question.

Answers

Answer:

1. only 1 unique triangle can be made

2. only 1 unique triangle can be made

3. multiple triangles are possible

4. True

5. True

6. False

7. only 1 unique triangle can be made

8. only 1 unique triangle is possible

9. multiple triangles are possible

10. no triangle is possible

Step-by-step explanation:

Ask in comments if you got any questions.

Answer:All are correct I think.

Step-by-step explanation:

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

451054547.5

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it

The legs of a right triangle measure 5 and 8. What is the length of the hypotenuse?

Answers

[tex]\sqrt{89}[/tex]

Hope This Helps You!

Good Luck Studying ^-^

Please can someone give me correct answer to this problem.
I will mark you brainliest for the correct answer.
Please help!!!!!!!!!!!!!!!!!!!

Answers

The answer is C or D but I would do D

62c + 86 = 32

A. -1.90

B. -.87

C. .35

D. 4.63

Answers

Answer:B

62ç=32-86

62c=-54

C=0.87

a
2.1 cm
2.9 cm
Find the value of a.

Answers

Step-by-step explanation:

[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]

Laura invested $1000 in a college saving account for her children that had an annual interest rate of 11% compounded continuously after 20 years how much money is in her account

Answers

Answer:

$2200

Step-by-step explanation:

1000*11%*20=2200

I need help with this math problem on get more math the photo is at the top

Answers

Answer:

30

Step-by-step explanation:

6x5=30 Just took the test and got 100%

Please help me find the volume :3

Answers

9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Plz help will give brainliest!

Answers

Answer:

8.7

Step-by-step explanation:

of sales tax is 6%, what is the final price of a Microwave oven whose list price is $110.00?

Answers

Answer: $6.6
Have a good day :D
Total is $116.60 including tax.
So sales tax is 6.60.

would the answer be 36?

Answers

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

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