i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?

Answers

Answer 1

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = y

You can create two equations:

[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]

Rearrange x + y = 30:

[tex]y=30-x[/tex]

Substitute it into the x-value of the other equation & solve:

[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]

With the x-value, substitute it back to the original equation to find y-value:

[tex]y=30-x=30-23=7[/tex]

Therefore, there are 23 dimes & 7 quarters.

Answer 2

There are 23 dimes and 7 quarters.

Given that, the total number of coins=30.

How to convert dimes to dollars?

To convert dimes to dollars we need to multiply the number of dimes by 0.1.

Let the number of dimes be x, and then the number of quarters will be 30-x.

Now, x×0.1+(30-x)×0.25=4.05

⇒-0.15x=-3.45

⇒x=23

30-x=7

Hence, there are 23 dimes and 7 quarters.

To learn more about equations visit:

https://brainly.com/question/2263981.

#SPJ5


Related Questions

I don’t understand and need help on the questions that are blank.

And if I had missed any I would appreciate it if somebody would correct me.

Answers

Answer:

yes but for your mote correction must cheack with calculator

I have attached the picture below where ive checked your answers plus corrected the wrong ones and completed the incomplete ones... Hope that helps

Create 5 word problems on gcf using prime factorization.

Answers

A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective phones out of every 6000 phones. What is the highest number of defective phones do the companies have in common?

jessicas382 avatar

Anthony's mom gave him 30 dollars while Jennifer's mom gave her 36 dollars. They want to give the same amount of money to a charity. What is the greatest donation they can make?

jessicas382 avatar

Sam has 39 pencils and 26 pens to distribute to his classmates? Each student must receive the same amount of pens and pencils and there will be no pens or pencils left. What is the greatest number of students in that class?

jessicas382 avatar

Peter has 12 dollars in his pocket and James has 15 dollars. They want to give money to each other. How much money will they have left after they give to each other the same but highest possible amount?

jessicas382 avatar

A car dealer has 20 Toyota Camrys and 25 Honda Accords left on the parking lot. The dealer wants to arrange the cars in rows so that each row has the same number of vehicles and the same number of vehicles of each type. What is the greatest number of rows that can be formed?Answer:

Step-by-step explanation:

The guy above me is correct because I know

When the data points on a graph show a steady trend in an upward direction, there is ____________________________. ANSWERS I NEED: a negative trend
no relationship between the data points on the graph
a positive trend
not enough information to determine if there is a trend or not

Answers

I'm not sure but it's most likely a positive trend.

complete the table for given rule

Answers

Answer:

x               y

4/3            2

8/3           10/3

22/3        24/3

Step-by-step explanation:

Substitute y with 2 for the first problem

2=x+2/3

Subtract 2/3 on both sides:

4/3

Thus:

x               y

4/3            2

Now Substitute x with 8/3 for the second problem

y=8/3+2/3

Add:

y=10/3

Thus:

x               y

8/3           10/3

Now Substitute x with 8/3 for the third problem

y=22/3+2/3

Add:

y=24/3

Thus:

x               y

22/3        24/3

Thus the Full equation is:

x               y

4/3            2

8/3           10/3

22/3        24/3

Hope this helps!

Answer:

x           y

4/3        2

8/3        10/3

22/3      8

Step-by-step explanation:

y=x+2/3

2=x+2/3

2-2/3=x+2/3-2/3

6/3-2/3=x

4/3=x

y=x+2/3

y=8/3+2/3

y=10/3

y=x+2/3

y=22/3+2/3

y=24/3

A speed skater completes a 500 meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds.How do their speeds compare

Answers

Answer:

25:26

Step-by-step explanation:

You mean the ratio?

Let's simplify the speed skater first. 500 meter in 40 second to x meter in 1 second. 500/40=12.5 meters per seconds

Cheetah:260/10=26 meters per seconds

Let's make this into a integer

12.5*2=25

25:26

:)

12.5 for the skater and 26 for the cheetah

I promise I will give you a crown if you do it right.
Q. Arrange the following integers in ascending order.
a. 3902, -3923, -3454, -3345, 3623, -3212.
b. 1005, -1090, -1420, -1230, 1302.
c. -100, -110, -99, 99, 101, 110.
d. 9990, 9011, 9909, -9099, -9990, 9099.

Answers

Answer:

A) -3923, -3454, -3345, -3212, 3623 and 3902.

B) -1420, -1230, -1090, 1005 and 1302.

C) -110, -100, -99, 99, 101 and 110

D) -9990, -9099, 9011, 9099, 9909, 9990

Step-by-step explanation:

Zoe planted a 4-foot oak tree in her backyard. The oak tree is expected to grow by 22 inches each year. If the oak tree grows at its expected rate, which of the following functions represents the height, H(x), in inches, of the oak tree after x years?

A.
H(x) = 22x + 48

B.
H(x) = 22x + 4

C.
H(x) = 48x + 22

D.
H(x) = 4x + 22

Answers

H(x)=22x+4 would be the answer because your starting number is 4 and it increase by 22 each year x
The answer is A because it will grow 22inches (H) each year (x) and it has already started with 48 inches

i need help pls :)....

Answers

Answer:

The length would be 91 inches

Step-by-step explanation:

This is because in the plan the width is 2 inches and if you divide 26 by 2 you get 13.

Then you do 13 times 7 which is 91

What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?
A. √137

B. √15

C. √5

D. √13

Answers

What is the length, in units, of the line segment with endpoints at (1,4) and (3,7) C.

Answer:

The answer is  √13

Step-by-step explanation:

Given that the function graphed is ƒ(x), what is ƒ(−5)?

I will give the best answer brainliest!

Answers

Answer:

D. 5

Step-by-step explanation:

yeah-ya............. right?

The correct answer is is answer choice D

Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle..

8 cm along the left side of the triangle and 45 degrees in the lower left of the triangle....

more than one triangle
a unique triangle
no triangle

Answers

Answer:

  (a)  more than one triangle

Step-by-step explanation:

Specifying one side and one angle is not sufficient to define a particular triangle. More than one triangle can meet those requirements.

Consider the points (-5,2) and (3,-9)
What's the horizontal distance between the two points?

Answers

Answer:

The distance between the 2 points is about 13.6

Step-by-step explanation:

Picture the 2 points on a graph, and then look at the distance between them as the hypotenuse of a right triangle. You can easily find the length of the legs of that triangle, and with those legs, you can use the pythagorean theorem to calculate the length between the points.

The length of one leg is the distance between the 2 x-coordinates, between -5 and 3, so that's 8.

[tex]3--5=3+5=8[/tex]

The length of the other leg is the distance between the y, between 2 and -9.

[tex]-9-2=-11[/tex]

That's just a distance of 11, as there's no such thing as negative distance.

Now we have the legs, so we can find the hypotenuse:

[tex]a^2+b^2=c^2\\8^2+11^2=c^2\\64+121=c^2\\c^2=185\\c\approx13.6[/tex]

The y axis is _____________
horizontal
vertical
diagona

Answers

Answer:

It is a vertical line.

Step-by-step explanation:

See below attached picture. The purple line represents the y-axis.

Hoped this helped.

[tex]GeniusUser[/tex]

A dessert recipe calls for 2 cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?

Show Your Work

16 cups

​2 1/2 cups

20 cups

3 1/5 cups

Answers

Answer:

4 went down first it's comming up by 1/2

1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know

2. Convert this length to inches

Answers

Answer:

4 feet I think

Step-by-step explanation:

8 pictures can fit on the wall, the person that said 4 is correct for a part. (Correct me if I’m wrong but I’m sure I’m not!)

On a map with a scale of 2 units = 35 miles, find the distance from Sanford to Myrtle Beach if the cities are 10 units apart

Answers

Step-by-step explanation:

35/2=17.5

17.5 x 10=175

175 miles because 2 units equal 35, times 5 equals 175

Name the Solid.
What is the VOLUME of the solid?
Most Precise Answer =
Round to the nearest hundredth.
Approximate Answer =
Round to the nearest tenth if necessary.

Answers

Answer:

169.6

Step-by-step explanation:

multiply 27 by 2 then multiply by pi aka 3.14 then get 169.56 but round to 169.6 because 5 or up you round up 1 4 or below you stay the same

A circle has a radius of 15 centimeters and an area of 225π cm2. If the radius is multiplied by 3, what is the area of the new circle?

Answers

Shape: Circle
Area: (pie)(radius)^2
(Work shown in photo below)

what is the solution to the inequality: -2x>30

Answers

Answer: any neative number thats -16 and up

for example -16, -17,-18 etc

Step-by-step explanation:

Your answer for that inequality would be..

x < -15

Trust me this is the correct answer.

Find the perimeter and area of figure ABCD with coordinates
A(-2,3) B(5,4) C(4,-6) D(-1,-3)
Round to the nearest tenth

Answers

20-,3 is the correct answer
Answer: (20,-3) Hope this helps!

How you write a inequality and then graph the answer?

Answers

Answer:

To write an inequality, you need to write a number on the number line, and to graph it, you need to write another inequality and figure out what the answer is.

hope this helped.

A recipe for 1 batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla.

Complete the double number line diagram below to show the amount of flour and vanilla needed for 1,2,3,4, and 5 batches of cookies. MAKE SURE YOU FILL OUT THE DOUBLE NUMBER LINE COMPLETELY! Then use the double number line to answer these questions:



a) If you use 20 cups of flour, how many teaspoons of vanilla should you use?

b) If you use 6 teaspoons of vanilla, how many cups of flour should you use?

Answers

a) 8 because 5.4=20 so 2.4=8
b)2.3=6 therefore you should use 15 of four ( 5.3=15)

The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of 8% on the discounted price.

Part A: How much did Ron pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Ron paid for the headphones? Show all work and steps in your solution.

Answers

Answer:

A. $2.00

B. $26.99

Step-by-step explanation:

0.5 x 49.99 = 24.995

49.99 - 24.995 = 24.995

0.08 x 24.995 = 1.9996 and round to the nearest hundredth

24.995 + 1.9996 = 26.9946

round to the nearest hundredth

Answer:

Part a: 1.9996

Part b: 26.9946

Step-by-step explanation:

STEP 1:

Find the unit rate (1% of 49.99). You should get 0.4999. Then, multiply 0.4999 by 50. You should get 24.995.

STEP 2:

Find the unit rate of 24.995. You should get 0.24995. Then multiply 0.24995 by 8. You should get 1.9996 (answer for part a).

STEP 3:

Add 1.9996 to 24.995. You should get 26.9946 (answer to part b).

Help plz:
8. Multiply the following:
a. (x^3)(x^2) =
b. (x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =

Answers

Answer:

a.x^5 b.x^17 c.SORRY I really do not know (You don't have to make brainliest for this answer) d.-60x

Step-by-step explanation:

a.x^3*x^2=x*x*x*x*x=x^5

b.Quite the same. 7+10=17 x^17

d.-20*3=-60x

:)

What is the value of m?



13.78 – m = 9.13

Answers

Answer:

4.65

Step-by-step explanation:

13.78 - m = 9.13

13.78 - 9.13 - m = 0 (subtracting 9.13 from both sides)

m = 13.78 - 9.13  (adding m to both sides)

m = 4.65

Answer:

m=22.91

Step-by-step explanation:

13.78+9.13=22.91

Sarah wanted to buy a TV. She had $390 in her pocket. The TV she wanted was $415; however she had a 10% off coupon. The sales tax is 6%. Does she have enough money to purchase the TV?

Answers

Answer: Sarah does not have enough money to purchase the TV.

Explanation: The total price is $395.91.

Answer:

No

Step-by-step explanation:

10% of 415

= 1/10 of 415

= 1/10 * 415

= $41.5

415 - 41.5 = $ 373.5

6% of 415

= 6% * 415

= $24.9

∴ $373.5 + $24.9 = $398.4

∴ Sarah cannot buy the TV as she is $ 8.4 short.

Which statement is modeled by the expression?

100p


A. After the league had supplied each player with a uniform, there were 100 uniforms left over. If there are p players in the league, 100p is the number of uniforms the league had originally.

B. The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100p tokens.

C. Each player in the league was given 100 tickets to sell. If there are p players in the league, the total number of tickets to sell is 100p

D. One hundred more players signed up for soccer than the league had planned for. The league had p uniforms in stock. The number of uniforms the league needs to buy to make up the difference is 100p.

Answers

Answer: C

Step-by-step explanation:

There are 100 tickets given to each player (player being used as the variable “p”

Each player will sell 100 tickets each, resulting in “100p”

I think the Results are 100p.

Y = 4x + 9
What is the slope and the y-intercept?

Answers

Answer:

y=4x+9 is in the form y=mx+b , so the slope ( m ) is 4 and the Y-intercept ( b ) is 9

Answer:

m = 4b = 9

Step-by-step explanation:

We know that:

y = mx + by = 4x + 9

If we compare these two equations, we can find the slope and the y-intercept.

=> (y = mx + b) = (y = 4x + 9)

We can clearly see that 'm = 4' and 'b = 9'.

Conclusion:

Therefore:

m = 4b = 9

Hoped this helped.

Chris went to the store to buy some sports equipment. His mother had given him $30.00 to spend, and Chris took some of his own money along. He bought shin guards for $15.00, 2 pair of soccer socks for $7.99 each and a mini-soccer ball for $9.99. How much of his own money did he need to use?

Answers

Answer:

10.97

Step-by-step explanation:

Add 15, 7.99, 7.99, and 9.99. Then subtract 30 witch = 10.97

I got you!
It’s 10.97

Use prime factorization to find the GCF (greatest common factor) of the following sets of numbers. Show the steps you used to find the GCF. 1) 18: 20: GCF: 15: 25: GCF: 40: 32: GCF: 12: 22: GCF: 10: 20: GCF: 9: 16: GCF: 30: 15: GCF: 15: 35: GCF: 14: 28: GCF: 24: 8: GCF: 45: 27: GCF: 36: 42: GCF: 2)3) 4) 7) 10) 5) 8) 11) 6) 9) 12)

Answers

Answer:

It’s too hard

Step-by-step explanation:

TwT

Sorry this is too hard for me to do
Other Questions
Which statement is true of primary sources?[A] They are written by experts whove conducted research on a time period.[B] They interpret data collected in surveys, presenting a conclusion.[C] They may use words that are unfamiliar now but were common long ago.[D] They are often full of strange details and unrealistic settings. Need help please having trouble The winter evening settles downWith smell of steaks in passageways.Six o'clock.The burnt-out ends of smoky days.And now a gusty shower wrapsThe grimy scrapsOf withered leaves about your feetAnd newspapers from vacant lots;The showers beatOn broken blinds and chimney-pots,And at the corner of the streetA lonely cab-horse steams and stamps.And then the lighting of the lamps.Poem^ True or false. Mexican-Americans have isolated themselves from the Mexican culture south of the Rio Grande River. n less than 10 ....................... Is it important for teenagers to be informed about sports, political, cultural, and social events happening in your country and worldwide? What do news programs need to have to get adolescents attention?(please the answer must be in a type of essay or at least 5 lines) These type of cells are specialized, complex, more modern and multi-cellular and most plants and animals fit into this domain. options:Prokaryotic CellsEukaryotic CellsNeither A nor BBoth A and B In humans, tongue rolling is dominant over non-rolling. A man who can roll his tongue marries a woman who cannot. They have 8 children, of which 6 can roll their tongue. What is the genotype of these 6 children? Why? 12 divided by 2/5 whats the answer HELLP ME PLS QUICKOscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.HELLLP ME PLS QUICK Helpppppppppp plsssssss equation of the line (6,10) , (-3,-2) for these two rates, calculate the unit rate and determine if these two rates are proportional Find a solution to the inequality x > 4. A. 8 B. 3 C. 4 D. 0 Can someone help me with this please If a duck were to die before giving birth, what would happen to the duckling being born? PLEASE HELP NOW!!Some historians argue that the concept of race was invented in the British colonies in the 1600s. What do they mean by this? Garrison implies that the continued practice of enslavement threatens the existence of America itself.Which detail from the speech best conveys this idea? If there were no dark energy in the universe, the value of __________ would solely determine the evolution and fate of the universe. Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?