In Juan's coin bank there are nickels (n),
dimes (d), and quarters (q). The number of
quarters is one-quarter the number of dimes, and
the number of nickels is twice the number of
quarters. The total value of the coins is $6.00.
Find the number of each type of coin. [Show all
work.]

Answers

Answer 1

Answer:

Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

Step-by-step explanation:

Since in Juan's coin bank there are nickels (n), dimes (d), and quarters (q), and the number of quarters is one-quarter the number of dimes, and the number of nickels is twice the number of quarters, While the total value of the coins is $ 6.00, to find the number of each type of coin the following calculations must be performed:

Q = 1/4 D

N = 2Q = 1/2 D

D = D

20D + 10N + 5Q = X

20 x 0.10 + 10 x 0.05 + 5 x 0.25 = X

2 + 0.50 + 1.25 = X

3.75 = X

24D + 12N + 6Q = X

24 x 0.10 + 12 x 0.05 + 6 x 0.25 = X

2.40 + 0.60 + 1.50 = X

4.50 = X

32D + 16N + 8Q = X

32 x 0.10 + 16 x 0.05 + 8 x 0.25 = X

3.20 + 0.80 + 2 = X

6 = X

So, Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.


Related Questions

You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a 3 and then picking a number less than 3? (Write answer as a percentage)

Answers

Answer: 37.5%

Step-by-step explanation:

A triangle has one angle of 120 degrees what must be true about the other two angles A- the sum of the two angles must be equal to 120 degrees. B- the two angles must be the same measure C- the sum of two angles must be 60 degrees

Answers

Answer:

C

Step-by-step explanation:

Since all triangles' angles have a sum of 180 degrees, it can't be A, because that would make it 240 degrees. That leaves us with B and C. While B could be true, we don't know it for sure. Therefore, C is the correct answer because adding them should equal 60 degrees, which, adding them to the first angle (which was 120 degrees), would 180 degrees.

Given that the discriminant of a quadratic equation is 1, determine the number of real solutions.

Answers

Any positive discriminate has a quadratic with 2 real solutions

Catherine Lewiston is currently earning an annual salary of $36,080 at
Zimmerman Heating Company.

She has been offered a job at a steel company at an annual salary of $47,120.

How much more would she earn per week at the steel company than at Zimmerman Heating?

Answers

Answer:

$212.31

Step-by-step explanation:

divide $36,080 by 52 weeks in a year. you get $693.84 weekly.

divide $47,120 by 52 weeks in a year. you get $906.15 weekly.

then subtract 906.15 from 693.84 and you get 212.31

find the slope of the line​

Answers

Answer:

no

Step-by-step explanation:

ask a teacher so people might lie abt the answer

Answer:

- 5/3

Step-by-step explanation:

This slope would be a positive slope since we have the dot on the negative side but it looks like it's in the ones but it's negative 5/3 in my opinion good luck

Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant

Answers

Answer:

Step-by-step explanation:

It means if she planted 12 tulips then 4 daffodils for every 3 tulips = 16 daffodils

Total = 12 + 16 = 28

Answer:

12 Tulips

Step-by-step explanation:

16 daffodils and 12 tulips for 28 flowers in all

(-6 - 4) : (-5) = ?
What is the answer to this plz help

Answers

Answer:

-10 not sure what : is

Step-by-step explanation:

Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are solid wood and each one has a volume of 94.5 cubic centimeters.What is the height, in centimeters, of a wooden post cap?

Answers

Answer:

Height of the square pyramid is 6.569 centimeter

Step-by-step explanation:

The volume of the square pyramid is 94.5 cubic centimeters

The height of the square pyramid will be equal to the lengths of the sides of the square.

The volume of the square pyramid  is given by

[tex]a^2 * \frac{h}{3}[/tex]

or

[tex]\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569[/tex]centimeter

Height of the square pyramid is 6.569 centimeter

select all the expressions that equal.. *see picture for problem* ​

Answers

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

I'm confused on this
(this is 12 year old math) ​

Answers

Answer: the top box can be the linear equation y=40x+15 and the bottom box is 40

Step-by-step explanation:

If you swim 15 more minutes than your friend and your swam 55 minutes, that means your friend only swam 40 minutes. The set amount of time that your friend swims for x is 40 minutes. So the additional time you swim is b, 15 minutes.

qual é a raiz quadrada de 841?

Answers

Answer:

29

Step-by-step explanation:

Convert 189 To A Decimal And Then Round Your Answer To The Nearest Whole Number (29) Is Already Rounded To The Nearest Whole Number So Your Answer Is 29

Please help i dont get this serious inquires only...

Answers

A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.

• Here's the table .

[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]

What type of association is shown in the following scatter plot?

Day of the Week
O A. No Association
OB. Strong Negative
O C. Strong Positive
O D. Weak Negative

Answers

no association, because it’s they are all scattered

A bicycle that normally costs $450 is on sale for 20% off the original price, with an additional discount of $25.
What is the cost of the bicycle?

Answers

Answer: 335

Step-by-step explanation:

20% = 0.2

450 x .2 = 90

450 - 90 = 360

360 - 25 = 335

Find the missing angle.
Select one:

85°

180°

158°

32°

Answers

Answer:

missing angle 32 ...........

- Jeremy wants to enlarge his younger
brother's 5-foot by 5-foot sandbox
by multiplying its dimensions by 3.
How will the area of the sandbox be
affected?

Answers

The area will be double. Before enlargement the area is 25. After multiplying the dimensions by 3 we get 5*3 and 5*3 multiplied to give us 225.

brad buys a pack of 12 energy drinks for £9.25
he sells all 12 for £1
work out the percentage profit
give your answer correct to 2 significant figures

Answers

Answer:

I dont I know i want points

PLEASE HELP ME IM SO CONFUSED AND THIS IS DUE IN 10 MINS!!! PLEASE HELP!!!

Answers

Answer:

The answer is 98304

Step-by-step explanation:

What is the mean of 82, 4, 94, 4, 60, 91
and what is n2 = 81 ; What is the value of n?
-4n = 16; What is the value of n?

Answers

Answer:

1. The mean is 55.83

2. when n2=81 then n=40.5

3. when -4n=16 then n = -4

Step-by-step explanation:

1. you add all the numbers together then divide the sum by 6

2. divide both sides by 2

3. divide both sides by -4

the distance time graph shows information about part of a bicycle journey. Use the graph to estimate the speed in m/s at time 6 seconds
NEED ASAP WILL MARK AS BRAINLIEST IF CORRECT

Answers

Answer:

2.16

Step-by-step explanation:

if x is seconds on the graph and y is the distance then you just look for what is y in the coordinate (6, _ ), in which the line on the graph shows it is 13

hope this helps!!

edit:

it seems i was incorrect, ahh im sorry

so you do have to divide the answer in the end, so 13/6 which is equaled to 2.16

65.40/w=95/100
Solve for W

Answers

Answer:

w = 68.84

Step-by-step explanation:

cross-multiply:

95w = 6540

w = 6540/95


What is 100 km/h in mph?
Use 5 miles = 8 km.
Give your answer as a decimal

Answers

Answer:

Answer is100*5/8 = 62.5

Answer:

62.5

Step-by-step explanation:

100×5/8=125÷2=62.5

help please ? i need help

Answers

Answer:y

Step-by-step explanation:

A loan worth $1000 collects simple interest each year for 6 years. At the end of
that time, $270 of interest has accrued. What was the annual interest rate for
this loan?
a. 4.25%
b. 5.75%
c. 5.5%
d. 4.5%

Answers

Answer:

B

Step-by-step explanation:

Use a calculator and do it step by step.

Can anybody tell me what’s going on here?

Answers

Step-by-step explanation:

We are given a theta degree measure of sin in a specific interval. We are asked to find half of that degree measure.

The interval it ask us to find it in is between 2 pi and 5 pi over 2.

That is 360 degrees to 450 degrees. If you use reference angles, that is between the 0 degrees and 90 degrees. So that means our measure is going to be in the 1st quadrant.

Replace x with theta

[tex] \sin( \frac{x}{2} ) = + - \sqrt{ \frac{1 - \cos(x) }{2} } [/tex]

We dont know cos x but we can use the pythagorean trig theorem to find cos x.

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] \sin {}^{2} ( \frac{4}{5} ) + \cos {}^{2} (x) = 1[/tex]

[tex] \frac{16}{25} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{16}{25} [/tex]

[tex] \cos {}^{2} (x) = \frac{9}{25} [/tex]

[tex] \cos(x) = \frac{3}{5} [/tex]

Cosine in 1st quadrant is positive so 3/5 is cos x.

Replace 3/5 for cos x.

[tex] + - \sqrt{ \frac{1 - \frac{3}{5} }{2} } [/tex]

[tex] + - \sqrt{ \frac{2}{10} } [/tex]

The answer is

[tex] + - \sqrt{ \frac{2}{10} } [/tex]

multiply. write your answer as a fraction in simplest form: 4 x 5/14

Answers

Answer:

Most simplified version is 1 3/7

Step-by-step explanation:

First step is turn everything into a fraction 4 into a fraction is 4/1

4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7

Here we have a problem with the multiplication of fractions.

We will find that:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

First, two things we need to remember:

[tex]\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}[/tex]

Also, an integer number N can be written as:

[tex]N = \frac{N}{1}[/tex]

Now we want to solve:

[tex]4 \cdot\frac{5}{14}[/tex]

Using the above relations we get:

[tex]4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}[/tex]

Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.

We can see that both are multiples of 2, so if we divide both by 2 we get:

20/2 = 10

14/2 = 7

Then we have:

[tex]\frac{20}{14} = \frac{10}{7}[/tex]

Now 7 and 10 do not have common factors, so we can't simplify it anymore.

Concluding, we get:

[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]

If you want to learn more, you can read:

https://brainly.com/question/23715562

Ally ate 240 grapes in 6 days. Which rate below is equivalent to Ally's rate?

A. 60 grapes in 2 days

B. 60 grapes in 3 days

C. 120 grapes in 2 days

D. 120 grapes in 3 days

Answers

Answer:

D

Step-by-step explanation:

She ate 240 in 6 days or 40/day

So she would eat 120 in 3 days (40x3)

Answer:

D) 120 grapes in 3 days

Step-by-step explanation:

240/6 = 40 per day

80 in 2 days

120 in 3 days

Brenna wants to learn more about stingrays. Which of the following is a statistical question Brenna could ask?

A. Do stingrays live in oceans or rivers?

B. Are stingrays an endangered species?

C. What is the heaviest stingray ever recorded?

D. How long does a stingray live?

Answers

Answer:d

Step-by-step explanation:because that would come up with the most information from sciencetist and professors

Answer:

Probably B or A

Step-by-step explanation:

Because learning about stingrays asking a question like that can tell you how many are left and how long you have to study them while they are here. and A because you wanna get to know their surroundings and what's better for them in an environment before you actually get to know about the stingrays, studying the environment can give you an idea of what to look for when you are diving in the ocean. Meaning you know exactly what to look for when diving so you can get as much information as you need.

An isosceles triangle has sides of length 12.4, 12.4, and 17. Find the measure of the vertex angle.

Answers

Answer: 13

Step-by-step explanation:

Find the value of X.

Answers

Answer:-

x=110 degree

Step-by-step explanation:

It's quadrilateral so it's total sum degree is 360

then 40+82+128+x=360

360-(128+82+40)=X

x=360-250

x=110 degree

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