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valkas [14]
3 years ago
10

How many ways can change be made for a quarter using standard u.s. coins? (don't count "1 quarter" as making change for a quarte

r.)?
Mathematics
2 answers:
AveGali [126]3 years ago
5 0
25 pennies, 2 dimes and 5 pennies, 2 dimes and 1 nickel, 4 nickels.
neonofarm [45]3 years ago
4 0
There are 12 different ways to make change for a quarter without using a quarter itself.

A penny is worth 1 cent, a nickel is worth 5 cents, and a dime is worth 10 cents. With these values, the following combinations of coins will make change for a quarter, which is 25 cents:

Order: pennies, nickels, dimes

-
(1) 25 pennies

(2) 20 pennies, 1 nickel

(3) 15 pennies, 2 nickels
(4) 15 pennies, 1 dime

(5) 10 pennies, 3 nickels
(6) 10 pennies, 1 nickel, 1 dime

(7) 5 pennies, 4 nickels
(8) 5 pennies, 2 nickels, 1 dime
(9) 5 pennies, 2 dimes

(10) 5 nickels
(11) 3 nickels, 1 dime
(12) 1 nickel, 2 dimes

You might be interested in
Pleaseee someone help me :( Ive been stuck on this for an hour
Whitepunk [10]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

Hope this helps you out! :)

Also, it's OK! This was actually pretty hard to figure out!

6 0
3 years ago
A rock thrown vertically upward from the surface of the moon at a velocity of 36​m/sec reaches a height of s = 36t - 0.8 t^2 met
Verdich [7]

Answer:

a. The rock's velocity is v(t)=36-1.6t \:{(m/s)}  and the acceleration is a(t)=-1.6  \:{(m/s^2)}

b. It takes 22.5 seconds to reach the highest point.

c. The rock goes up to 405 m.

d. It reach half its maximum height when time is 6.59 s or 38.41 s.

e. The rock is aloft for 45 seconds.

Step-by-step explanation:

  • Velocity is defined as the rate of change of position or the rate of displacement. v(t)=\frac{ds}{dt}
  • Acceleration is defined as the rate of change of velocity. a(t)=\frac{dv}{dt}

a.

The rock's velocity is the derivative of the height function s(t) = 36t - 0.8 t^2

v(t)=\frac{d}{dt}(36t - 0.8 t^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(36t\right)-\frac{d}{dt}\left(0.8t^2\right)\\\\v(t)=36-1.6t

The rock's acceleration is the derivative of the velocity function v(t)=36-1.6t

a(t)=\frac{d}{dt}(36-1.6t)\\\\a(t)=-1.6

b. The rock will reach its highest point when the velocity becomes zero.

v(t)=36-1.6t=0\\36\cdot \:10-1.6t\cdot \:10=0\cdot \:10\\360-16t=0\\360-16t-360=0-360\\-16t=-360\\t=\frac{45}{2}=22.5

It takes 22.5 seconds to reach the highest point.

c. The rock reach its highest point when t = 22.5 s

Thus

s(22.5) = 36(22.5) - 0.8 (22.5)^2\\s(22.5) =405

So the rock goes up to 405 m.

d. The maximum height is 405 m. So the half of its maximum height = \frac{405}{2} =202.5 \:m

To find the time it reach half its maximum height, we need to solve

36t - 0.8 t^2=202.5\\36t\cdot \:10-0.8t^2\cdot \:10=202.5\cdot \:10\\360t-8t^2=2025\\360t-8t^2-2025=2025-2025\\-8t^2+360t-2025=0

For a quadratic equation of the form ax^2+bx+c=0 the solutions are

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=-8,\:b=360,\:c=-2025:\\\\t=\frac{-360+\sqrt{360^2-4\left(-8\right)\left(-2025\right)}}{2\left(-8\right)}=\frac{45\left(2-\sqrt{2}\right)}{4}\approx 6.59\\\\t=\frac{-360-\sqrt{360^2-4\left(-8\right)\left(-2025\right)}}{2\left(-8\right)}=\frac{45\left(2+\sqrt{2}\right)}{4}\approx 38.41

It reach half its maximum height when time is 6.59 s or 38.41 s.

e. It is aloft until s(t) = 0 again

36t - 0.8 t^2=0\\\\\mathrm{Factor\:}36t-0.8t^2\rightarrow -t\left(0.8t-36\right)\\\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\\\t=0,\:t=45

The rock is aloft for 45 seconds.

5 0
3 years ago
Which point is located on the x-axis of a coordinate grid?​
Leokris [45]

I don't see the grid? did you attach a photo?

6 0
3 years ago
Read 2 more answers
Aiko needs solid color and patterned fabric for a sewing project. Fabric costs $7.99 per yard. She needs 2 1/3 yards of solid fa
nikdorinn [45]

The two expressions that are comparable to one another for the total cost of the cloth are and

(7.99 × 7/3) and 18.64

This is further explained below.

<h3>What is expressions ?</h3>

In most cases, the two expressions that are comparable to one another for the total cost of the cloth are

(7.99 × 7/3) and 18.64

Total cost = Cost of fabric per yard * Number of fabrics

= 7.99 × 2 1/3

= (7.99 × 7/3)

= 55.93 / 3

= 18.64

As a result, the two expressions that are comparable to one another for the total cost of the cloth are and

(7.99 × 7/3) and 18.64

Learn more about total cost:

brainly.com/question/2021001

#SPJ1

4 0
1 year ago
Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold
Mandarinka [93]
Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.
8 0
3 years ago
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