You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.



Answer: Let n be the number of nickel


s, d be the number of dimes, and p be the number of pennies.

Answers

Answer 1

Answer:

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Step-by-step explanation:

Let

n = number of nickels

d = number of dimes

p = number of pennies.

n + d + p = 37

0.05n + 0.10d + 0.01p = 1.55

p = 2d

Substitute p = 2d into the equation

n + d + 2d = 37

0.05n + 0.10d + 0.01(2d) = 1.55

n + 3d = 37

0.05n + 0.10d + 0.02d = 1.55

n + 3d = 37 (1)

0.05n + 0.12d = 1.55 (2)

Multiply (1) by 0.05

0.05n + 0.15d = 1.85

0.05n + 0.12p = 1.55

Subtract

0.15d - 0.12d = 1.85 - 1.55

0.03d = 0.3

d = 0.3/0.03

= 10

d = 10

p = 2d

= 2(10)

p = 20

n + d + p = 37

n + 10 + 20 = 37

n + 30 = 37

n = 37 - 30

n = 7

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20


Related Questions

Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.

Answers

$4 a clip $1.00 for shipping for each order because 33.75x44.25=78
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip

how to win a bey blade that stronger than you?

Answers

Answer: The fact that beyblades spin at different speeds, you may want to get one that is fast while staying in control. Some have more mass than others leading them to spin slower, but the fact that they weigh so much may cause the other one to richochet off of it. Therefore get a big but fast beyblade that is very stable.

Answer:1. Takara Tomy Beyblade Burst B-148 Heaven Pegasus.

Step-by-step explanation:

What is the value of x in the equation x + 10 = 13? (4 points)
a.−3
b.3
c.13
d.23

Answers

Answer: B, x=3

Step-by-step explanation: isolate x so 13-10=3

X=3 bruh that’s so easy bruh

Can someone please tell me if the following relations are functions please?

Answers

yes the first one is a function. The second one with the arrows is not.

Kiera is contacting the poll workers from the last election to see whether they are willing to work in the next election. During the last election, 42\%42%42, percent of the poll workers were under 606060 years old. Let WWW be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older. Assume that each poll worker's age is independent. Find the mean and standard deviation of WWW. Round your answers to one decimal place.

Answers

Answer:

Mean: 1.7 and standard deviation 1.1.

Step-by-step explanation:

42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.

Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.

Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.

The required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.


So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.

Mean =  1/0.58
         = 1.7 poll workers.

Standard deviation = √[(1-0.58)/0.58]
                             = 1.1 poll workers.

Thus, the required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Learn more about mean here:

https://brainly.com/question/15397049

#SPJ2

if cost $25 per day to rent a tux plus a $50 cleaning fee. if samuel paid $200, how many days did he have the tux?

Answers

Answer:

6 days

Step-by-step explanation:

Answer:

he had the tux for 6 days because he paid the cleaning fee

Step-by-step explanation:

please help meeeeeeeeee ​

Answers

Answer:

37.3% is the take off

Step-by-step explanation:

so an easy route is to subtract the price after the reduction

89.99-56.49= 33.5 that is 37.3 percent

because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work

pls help!! A cylindrical vase has a diameter of 12 inches and a height of 12 inches. If the vase is filled 3/4 full of soil, how many cubic inches of soil are in the vase?

Answers

Answer:

Answer: the vase contains 1017.36 inches³ of soil.

Step-by-step explanation:

We would apply thee formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

h represents the height of the cylinder

r represents the radius of the cylinder.

π is a constant whose value is 3.14

From the information given

Diameter = 12 inches

Radius = diameter /2 = 12/2

Radius = 6 inches

Height = 12 inches

Therefore,

Volume of the cylindrical vase =

3.14 × 6² × 12 = 1356.48 inches³

If the vase is filled 3/4 full of soil, then the volume of soil in the vase is

3/4 × 1356.48 = 1017.36 inches³

Factor this polynomial expression.
x2 - 25
O A. (x - 25)(x - 25)
O B. (x+ 5)(x - 5)
C. (x - 5)(x - 5)
O D. (x+25)(x - 25)

Answers

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2 - 25

This can be written as

x^2 - 5^2

We know that this is the difference of squares

a^2 - b^2 = ( a+b) ( a-b)

x^2 - 5^2 = (x+5)(x-5)

Answer:

B. (x + 5)(x - 5)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 25

25 = 5²:

[tex] \longrightarrow [/tex] x² - 5²

Factor the difference of two squares.

a² - b² = (a + b)(a - b):

[tex] \longrightarrow [/tex] (x + 5)(x - 5)

‘P' is the path of a point moving at the same distance from a fixed point ‘Q'. The fixed distance is ‘R' and the distance around the circle is ‘S'. What is P, Q, R, S?

Answers

Answer: P is arc; Q is the centre of the circle; R is the radius; S is the circumference

Step-by-step explanation: P is arc: it is a continuous part of the circumference (S) of the circle;

Q is the centre of the circle which is at any point in time R points away from P;

R is the radius: the line segment between any point of a circle and its centre, Q;

S is the circumference of the circle: the line that bounds a circle.

PLEASE HELP
Which one do I choose of the three

Answers

Answer:

substract -5.8 from-2.6

Step-by-step explanation:

I hope this help you

Tom rolls a fair dice and flips a fair coin.
What is the probability of obtaining a number bigger than 2 and a head?

Answers

Answer:

1/3 or 33.33333333%

Step-by-step explanation:

The chance of getting a head in the coin flip is 1/2 or 50%.

The chance of getting a number bigger than 2 (3,4,5,6) is 4/6 or 2/3 or 66.6666666666%. (There are a total of four possibilites in six.)

Hence, 50% * 2/3 = 33.333333333333%.

Hope this helped!

Find the slope of the line that goes through the points (5,11) and (13,9).

Answers

Answer:

-1/4

Step-by-step explanation:

using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4

Help me, please !!!!

Answers

20 and 3/4 is 20.75
20 and 7/8 is 20.875
20 and 1/5 is 20.2
20 and 4/5 is 20.8

In a recent survey, 230 or 46% of the sample, said they usually ate fast food when they went out to eat. How many people were surveyed?

Answers

Answer:

500.

Step- by-step explanation:

46% = 0.46 as a decimal fraction.

So it is 230 / 0.46

= 500.

Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?​

Answers

Answer:

i need help on this question too

Step-by-step explanation:

Answer:

I think X=10 but im not for sure.

Step-by-step explanation:

150 (X+10) = 200 (X+5)

150x+1500   200X+1000

-150X            -150X

1500               50X+1000

-1000                      -1000

500                50X

50                   50

10=X

Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed?

Answers

52% of the book has been read.



In order to determine this you take 13 and divide it by 25.



13/25=0.52


Ps: the slash is represents a divison sign.


Write the ratio as a fraction in simplest form 4 to 56

Answers

Answer:

1 / 14

Step-by-step explanation:

4 / 56 = 1 / 14

4 / 4 = 1

56 / 4 = 14

State the slope and y-intercept of the graph of y + 2x = 3.

Answers

Answer:

y-intercept=(0, 3)  slope=-2

hope this help

Step-by-step explanation:

Answer: y intercept= 3 slope is -2

Step-by-step explanation: you subtract 2x from the left and right side and end up with y= -2x+3 if you substitute x for 0 then you get 3 for the y intercept.

for each sequence find the first 4 terms and 10th term 2n squared

Answers

Answer:

35 your welcome have a day good

Step-by-step explanation:

Simplify the expression by adding or subtracting the linear expressions. 9x - 20 - 8x + 2 *
-11x - 6
17x - 18
x -18
22x + 17

Answers

Answer:

9x - 20 - 8x + 2 * -11x - 6 +17x - 18 +x -18 +22x + 17

If you mean so, then this is the answer

19x-45

The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean, μ = 272 days and standard deviation, σ = 16 days. ​(a) What proportion of pregnancies lasts more than 300 ​days? ​(b) What proportion of pregnancies lasts between 260 and 284 ​days? ​(c) What is the probability that a randomly selected pregnancy lasts no more than 252 ​days? ​(d) A​ "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies​ unusual?

Answers

Answer:

a) 0.04

b) 0.54674

c) 0.10565

d) It is not unusual to have preterm babies

Step-by-step explanation:

The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean, μ = 272 days and standard deviation, σ = 16 days.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

​(a) What proportion of pregnancies lasts more than 300 ​days?

z = 300 - 272/16

= 1.75

Probability/proportion value from Z-Table:

P(x<300) = 0.95994

P(x>300) = 1 - P(x<300) = 0.040059

Approximately = 0.04

​(b) What proportion of pregnancies lasts between 260 and 284 ​days?

For x = 260 days

z = 260 - 272/16

= -0.75

Probability value from Z-Table:

P(x = 260) = 0.22663

For x = 284

z= 284 - 272/16

= 0.75

Probability value from Z-Table:

P(x = 284) = 0.77337

The proportion of pregnancies lasts between 260 and 284 ​days is

P(x= 284) - P(x = 260)

0.77337 - 0.22663

= 0.54674

​(c) What is the probability that a randomly selected pregnancy lasts no more than 252 ​days?

No more than means less than or equal to, hence, we are to find

P ≤ 252 days

Hence,

z = 252 - 272/16

= -1.25

Probability value from Z-Table:

P(x ≤ 252) = 0.10565

​(d) A​ "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies​ unusual?

We find the probability of 236 days

For x = 236

z = 236 - 272/16

z = -2.25

Probability value from Z-Table:

P(x<236) = 0.012224

Converting to percentage = 1.2224%

Hence, it is not unusual to have preterm babies

Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He pays $135 in interest. What is the interest rate?

Answers

He pays $135 for 3 years. So that’s $45/year. Considering 900 is your 100%, how many percents are represented by $45 in 900?

1)
You can see that 900 = 9x100.
So you can divide 900 by 9 to get 100.
That means you can also divide 45 by 9 (it’s proportional)
You have 45 for 900, you divide by 9 so you get 5 for 100 -> 5%

Or 2)
(Photo)
It’s a cross-multiplication :
(45 x 100)/900 = 5%
So the interest rate is 5%.


(Sorry if it’s confusing, English isn’t my first language..)

I know how to multiply 1-12.

Answers

Answer:

Good

Step-by-step explanation:

What is your question?

Just type it in the comments

I’ll give the Brainliest to who answers this question with a reasonable explanation.

If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?

Thank you!

Answers

$40/12 = unit rate simplify = 10/3
$10/3 per book
18 * 10/3 = $60 for 18 copies

the rental is 50 dollars and $15 per minute. If mia has $155, how many minutes can she rent the game set. Use an equation to find the answer

Answers

Answer:

Mia can rent the game set for 7 minutes

Step-by-step explanation:

(50)+(15×7)

What is the missing angle? *

PLS I NEED HELP DUE IN 10 MINS

Answers

Answer:

80

Step-by-step explanation:

a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80

Please look at the photo and solve please I need help

Answers

Answer:

B

Step-by-step explanation:

The unit rate changes throughout the table.

Plzzzz helpppp thank uuuuuuu

Answers

Answer:

ewanjehehehehejejejjejshs

Answer:

E

Explanation:

(3,-3)

A local bookstore tracked the type of payments people make at their store. Out of 100 people, 40 paid with cash, 55 paid with a credit card and 5 used a gift card. Based on this information, what is a reasonable prediction of the number of people paying with cash if they had 600 customers?

Answers

Answer:

Cash = 240, Credit = 330, Gift = 30

Step-by-step explanation:

We know from this the precentage  of people using different payment methods

Cash = 40/100 = 40%

Credit card = 55/100 = 55%

Gift card = 5%

We can then find the number of people using each method regardless of total amount of people

Cash = 40% * 600 = 240

Credit = 55% * 600 = 330

Gift card = 5% * 600 = 30

Total = 240 + 30 + 330= 600

Answer:

240

Step-by-step explanation:

Set up a proportion.  Out of 100 people, 40 people paid with cash.  Out of 600 people,  x people paid with cash.

[tex]\frac{40}{100} =\frac{x}{600}[/tex]

Cross multiply and solve for x.

[tex]24000 = 100x\\24000/100=100x/100\\240 =x\\x=240[/tex]

240 customers paid with cash.

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