Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60?

Answers

Answer 1

Answer:

Let's define the variables :

Q = number of quarters that Victor has

P = number of pennies that victor has

D = number of dimes that victor has.

We know that:

"He has three times fewer pennies than dimes"

P = D*3

"he has 4 fewer quarters than pennies."

Q = P - 4

And we know that in total, he has $4.60, then:

Q*$0.25 + P*$0.10 + D*0.05 = $4.60

Then we have a system of equations:

P = D/3

Q = P - 4

Q*$0.25 + P*$0.01 + D*0.10 = $4.60

To solve this, we need to replace variables in order to eliminate them.

We can start by replacing the first equation into the other two:

Q = D/3 - 4

Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60

Now we can replace the top equation into the bottom one:

(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60

And now solve this for D:

D*($0.25/3 + $0.01/3 + $0.10) -$1  = $4.60

D*$0.1866... = $4.60 + $1.00 = $5.60

D = $5.60/$0.1866... = 30

Then he has 30 dimes.

P = D/3 = 30/3 = 10 pennies

Q = P - 4 = 10 - 4 = 6 quarters.

In total he has 30 + 10 + 6 = 46 coins.


Related Questions

Which linear inequality is represented by the graph?

PLEASE HELP

Answers

Answer:

It would be c.

I hope that helps

Step-by-step explanation:

If you look at (0,0) you can see that if you go up two it will be right across second point.

What is the value of z in the equation 5(2z+4)

Answers

Answer: z = -2

Step-by-step explanation:

5(2z + 4) = 0

10z + 20 = 0    [distributive property]

10z = -20   [carry over the 20]

z = -2    [divide]

10z+20 is the answer

For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13​

Answers

Answer:

C. 26

Step-by-step explanation:

According to the question,

Daniel planted 51 seeds.

12 seeds did not grow at all,

Therefore, the number of seeds that grew are 51-12= 39

Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.

So, to find out how many green tomatoes grew, we solve

2/3 * 39= 26.

Therefore, the amount of green tomatoes are 26.

Free Brainlyest for who says bababoi first

Answers

Answer:

bababoi .. yay I did something

Answer:

bababoi

Step-by-step explanation:

bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi

does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.

Answers

Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

Show how to find the following product using a diagram
1/4 × 2/3​

Answers

Not to sure about this one. Maybe try google.

Answer:

3/3

Step-by-step explanation:

In 1986 a family member invested$ 100 each month into savings account with an interest rate of 0.25% that didn't change. In 2016 you decided you needed to use that saved up money for a big purchase so you cash the savings account out

Answers

Complete question is;

In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.

How much money should be in the account using the FV formula?

Answer:

FV = $107.78

Step-by-step explanation:

We are given;

Present value; PV = 100

Interest rate; r = 0.25% = 0.0025

We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .

This is a period of 30 years.

Thus, the number of compounding periods is n = 30

Formula for FV is;

FV = PV(1 + r)ⁿ

FV = 100(1 + 0.0025)^(30)

FV = $107.78

whats5666778877 x 81 + 1

Answers

Answer: 459009089038

Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...      

HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.

Explain how to find the slope of the line. And explain answer

Answers

Answer:

by using the slope incercept form: y=mx+b

this one is m=7/3 (m is the letter we use for the word slope btw) :)

Step-by-step explanation:

Select three ratios that are equivalent to 5:2. Choose 3 answers:
А 2 : 5
B 10:4
C 20 : 50
D 35 : 14
E 55 : 22​

Answers

Answer:

B, E, D

Step-by-step explanation:

You just look for the ones that have the same factors as 5:2

Answer:

A

C

D

Step-by-step explanation:

if I'm not wrong, I'm sure is that

The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
​Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele

Answers

Answer:

1001 m/s

300 [tex]m/s^2[/tex]

0.299.

Step-by-step explanation:

Given that:

[tex]D=f(t)=t^3+1[/tex]

[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].

[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]

To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.

Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:

[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]

[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]

Relative rate of change:

[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]

3/2:1/4 as a unit rate

Answers

Answer:

25

Step-by-step explanation:

A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

Answers

Dhaka 22 herbs sisjsn jabs and she

what is the difference of 1/5 - 3/4

Answers

Answer:

1/5 and 3/4 difference is —

-11/20

Plz help me I am timed
What kind of triangle is shown below?
OA) scalene triangle
OB) right triangle
OC) equilateral triangle
OD) isosceles triangle

Answers

Answer:

The answer is equilateral triangle

Answer:

OA) scalene triangle

Step-by-step explanation:

hope this helped also all angles are 60 degrees that's how you know ;)

What is the value of -16 divided by 2.5

Answers

Hey the answer to your question is -6.4

Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided.

Answers

number of weeks: w is the x value, and the number of money saved: m  is the y value. First, we need to find out how much she makes in 1 w and because k = y/x, we need to divide 60 by 8, which gives u 7.5, so she saves $7.50 every week Finally, we figure out the number of weeks it takes her to save $90, and to do that, we use the formula x = y/k. Using that formula, we get the expression $90/$7.50 or $90/$7.5. 90/7.50 = 12, so x = 12. It will take her 12 weeks to save $90. In order to check our answer, we can say that we didn't know the number of m she saved, but we do know how many weeks. To find a solution, we use the formula y = kx (the blank between kx means that we are multiplying). Using that formula, we get the equation 12 X 7.50. When we solve this equation, we get 90, and since it is the same answer as the real problem, that means the answer for the real problem is correct. (BTW sorry this is so long)

ratio of 5 to 2 total number of servers and cooks is 42 how many servers​

Answers

Answer:

30

Step-by-step explanation:

5 x 6 = 30

2 x 6 = 12

30+12 = 42

Answer this pleaseeee

Answers

Answer:

A) (5)^48

Step-by-step explanation:

They both equal 3.552713679E33.

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Answers

9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

What is the percent?

32/80 = %/100​

Answers

Answer: 40% OUT OF 100

What is the length of the missing side of this triangle? *

Answers

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]

y = 8.9

Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D

Answers

Answer:

(B)

Step-by-step explanation:

it is an undefined

pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)



HOW MANY WOULD BE IN EACH GROUP?

Answers

Answer:

carrot

Step-by-step explanation:

give me brainlyist i never got it pls bt i have snap if you want im a girl

.............helppppppppppppppppppp

Answers

Answer:

what????????????????

Answer: I think its A

Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.

Which linear inequality is represented by the graph?
PLEAe help

Answers

Answer:

The answer to your problem is the last option

Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

Answers

Answer:The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:


Marc earns $45,000 per year. If he does not work for 2 months in a year, how much money would he earn?

Answers

Answer:

$37500

Step-by-step explanation:

45000 divided by 12 = 3750

3750 is how much he earns each month.

3750x2=7500

7500 is how much he earns in 2 months

45000-7500=37500

Answer:

37,500

Step-by-step explanation:

if he makes 45,000 a year, we need to find out how much he makes per month.

divide 45,00 by 12= 3750 per month

3750 times 2 months= 7500

45,000-7,500= 37,500

ahhh sorry i didnt realize someone else already answered while i was typing this

3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.

Answers

Answer:

well you could do 26 groups of 6 people

Step-by-step explanation:

Divide the binomial by the monomial to find the quotient.

Answers

Answer:

9x²-36[tex]y^{5}[/tex]

Step-by-step explanation:

Other Questions
Please help me!!!!! I will give brainliest!!Why did the renaissance happen in Italy?A. Most ancient knowledge cam from Rome.B. Venice and Genoa had easy access to trade routes.C. Northern Italy was more religious than the rest of Europe.D.Italy was insulated from foreign involvement. PLEASE HELP ME I NEED THE ANSWER!!!!!!!!!!!!!The floor of an elevator in a building is 30 feet above ground level. It travels down to the lower level of the building, where the floor is 10 feet below ground level. What distance has the elevators floor traveled? Element X reacts with chlorine to form an ionic compound that has the formula XCl. To which group on the Periodic Table could element X belong? 3b+2 The sub for b is 14 Plz help. i will mark u 7. How did Alexanders attempt to make his empire secure help lead to the Hellenistic Age?8. How did the geography of the world change during the period of Alexanders rule? Which of the following is a difference between novels and plays?APlays are meant to be acted out while novels are only meant to be read.BIn a play, there is only dialogue, while in a novel there is dialogue and description.Plays might be divided into acts and scenes, while novels are divided intochapters.Dall of the above Solve the equation below for x.1/2(x+2)=7/5 Which TWO correctly relate the attraction between the particles of a liquid and the temperature at which the liquid changes state?A. Strong attractions mean the liquid melts at a higher temperatureB. Strong attractions mean the liquid melts at a lower temperatureC. Strong attractions mean the liquid boils at a higher temperatureD. Strong attractions mean the liquid boils at a lower temperature Which numbers between 20 and 50 havejust two factors? HELPP PLEASE WILL GIVE BRAINLIEST A class of 32 students has 12 girls. What is the ratio of girls to boys?A. 3:5B. 5:3C. 3:8D. 8:3 Which function is common to skin, hair, and nails? You want to buy carpet for your living room. The room is rectangular and the dimensions are 10 feet by 6 feet. How many square feet of carpet do you need to buy? Cormac is making 31 phone calls each week as part of a fundraiser. Last week, he made 8 phone calls on weekdays. Which equation could be used to find x, the number of phone calls he made last week on weekend days? HELPP 4. In 1788, the Federalists promised to add a bill of rights to the Constitution in order to (A) protect their own liberties from possible abuse by the U.S. government (B) persuade state conventions to ratify the Constitution (C) ensure that government would be democratic (D) establish a popular platform for the election of George Washington What cognitive changes support the transition to a self-concept emphasizing competencies, personality traits, and social comparisons Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Games Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax? A car starts from rest and reaches a velocity of 30 m/s in 10 s. If the carhas a mass of 1500 kg, what net force is exerted upon the car? The Matter of France deals with _____. No Category to put this under.is anyone 18 or older?? on here.