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

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

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

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

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).

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

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

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:

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.

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

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

:)

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

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

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:

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)

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.

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!)

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

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!

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

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

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.

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]

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

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.

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)

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.

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

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.

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.

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]

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