You have 20 coins valued at 2.60. All are either quarters or nickels. Write and solve a system of equations to find the number of each coin you have.

Answers

Answer 1

To solve this problem you must apply the following proccedure:

1. You have a total of 21 coins, all nickels and dimes. Then:

x:nickels=5 cents

y: dimes=10 cents

x+y=21

2. You have that the total value is $1.70. Then:

5x+10y=170

3. The system of equation is:

x+y=21    (i)

5x+10y=170    (ii)

4. You have:

x+y=21

x=21-y

5(21-y)+10y=170

105-5y+10y=170

y=13 dimes

x+13=21

x=8 nickels


Related Questions

What is the measure of an angle in an equilateral triangle?
Question 4 options:


30 degrees


45 degrees


60 degrees


Depends on the measures given

Answers

Answer:

Option 3. 60 degrees each.....

Answer:

60° Degrees.

Step-by-step explanation:

Hope this helps! :)

12 - 8x = 3(x + 4)
What do I do for this

Answers

12 - 8x = 3(x + 4)

12 - 8x = 3x + 12

-8x - 3x = 12 - 12

-11x = 0

x = 0

Plssss help 20 points plssa
If K Mis the perpendicular bisector of JL, find x.
Plsss

Answers

Answer:

x= 7

Step-by-step explanation:

4x+9 =11x-61

9 = 7x - 61

70 = 7x

x = 7

A recipe uses 3 cups of flour 2 cups of sugar write the ratio of flour to sugar. Then write the related rate and unit rate.

Answers

Answer:

The ratio of a certain thing say A to another B is written as A:BTo write this as a rate, put the left value A on top of the right value B so that [tex]A:B=\frac{A}{B}[/tex] So the rate is [tex]\frac{(3)cupsofflour}{(2)cupsofsugar}[/tex]  read as 3 cups of flour per 2 cups of sugarThe unit rate means write the fraction as a rational non-fraction number so [tex]\frac{3}{2}=1.5\\so\\(\frac{3}{2})cupsofflour/cupsofsugar = (1.5)cupsofflour/cupsofsugar[/tex]

If a car uses 5 gallons of gasoline to travel 160 miles, how many gallons would the car use in order to travel 96 miles?

Answers

Answer:

3 is your answer.

Step-by-step explanation:

Divide 160 by 5 and you get 32. Multiply it by 3 to get to 96 so it ends up as 3.

Answer:

x = 3

Step-by-step explanation:

To find this, let's use a ratio of gallons of gas to miles the car is able to travel.

160 miles / 5 gallons is equal to 96 miles / x gallons, or 160/5 = 96/x.

Cross multiply to get 160x = (5)(96)

Multiply the 96 by the 5 to get 160x = 480

Divide both sides by 160 to get x = 3.

Consider the function f(x) = 3x − 2. Select True or False for each statement. The y-intercept is 2. A True B False The x-intercept is 2 3 . A True B False The slope is 3. A True B False

Answers

Answer: A false, B true, C true

Step-by-step explanation:

A) intercept with y axis

That means x=0

y= 3*0-2

y= -2 So A is false

B) intercept with x axis

That means y=0

0= 3x-2

2=3x

2/3= x B is true

C) The form of linear function is

f(x)= mx +n, where m is the slope

In this case m= 3 so C is true

1. The y - intercept is 2. ⇒ False

2. The x - intercept is 2/3 ⇒ True.

3. The slope is 3. ⇒ True.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The function is,

f (x) = 3x - 2

Now,

1. To find the y - intercept we substitute x = 0 in the function.

Hence, The y - intercept is,

f (x) = 0 - 2

f (x) = - 2

Hence, The statement y - intercept is 2 is False.

2. To find the x - intercept we substitute f(x) = 0 in the function.

Hence, The y - intercept is,

f (x) = 3x - 2

0 = 3x - 2

3x = 2

x = 2/3.

Hence, The statement x - intercept is 2/3 is True.

3. We know that;

The slope intercept form of the line is,

y = mx + b

Where, m is slope of the line.

And, b is y - intercept.

So, By comparing with the function f (x) = 3x - 2 , we get;

Slope (m) = 3

Hence, The slope is 3 is True.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

If there are 70 students in a school and 30% are seventh graders how many seventh graders are there

Answers

Answer:

21

Step-by-step explanation:

21 students are 7th graders


Step by step explanation

Because 70 students is 100% and 30% of of the 100% which is 70 all you have to do is multiple my 0.3 since it’s 30 percent you do 0.3 which equals 0.30 if it was 3% you would use 0.03 that was just to let you know now if you multiple 70 times 0.3 you get 21 which is the number of students that are 7th graders.

Can somebody answer these 2 questions

Answers

Answer:

2. 12.08

3. 7.74

Step-by-step explanation:

a squared + b squared = c squared

2. 5 squared = 25, 11 squared = 121, 25 + 121 = 146, the squre root of 146 is 12.08

3.19 squared = 361, 421 - 361 = 60 60 squared = 7.74

Answer:

For 2 the answer is 12. For 3 the answer is 28.

Step-by-step explanation:

These may be wrong but hopefully they are correct

My work:

[tex]5^2+11^2=146[/tex]   then [tex]\sqrt{146} = 12.08[/tex]

[tex]\sqrt{421}=20.5[/tex]    [tex]19^2+20.5^2=781.25[/tex]  then  [tex]\sqrt{781.25} =28[/tex]

Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice!

Answers

Answer:

A or 4 million

Step-by-step explanation:

I’m a bit stuck on the second part of what y = x, can someone help me?

Answers

The answer should be 3, -1

NEED HELP.

What function has an inverse function that is well-defined? What process should I go through to determine the original function if all I was given were the inverse function and a table of values for that function?

Answers

Answer:

For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

.

PLEASE PLEASE PLEASE HELP!!!!!! NEED HELP ASAP!!!!

If a polynomial
p(x) = x^4 + 4x^3 + 8x^2 + 20x + 15 + K

Can be written in the form
p(x) = (q(x))(x-2)

Where q(x) is a polynomial, what is the value of k?

A. -135

B. -120

C. 9

D. 24

Answers

The answer would be “B”

answer this question please
fast
i will give you extra 50 points if you answer it

Answers

Answer:

just draw a line like that one on the other side and put 2 letters like e and f on each end

Step-by-step explanation:

Answer:

u basically draw the same thing

Step-by-step explanation:

congruent mean identical hope this helps... points

Worth 20 points, will thank

Answers

Answer:

GRRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

PLEASE HELP ME I DONT GET IT AND I HAVE TO TURN IT IN SOON HELP ME PLEASE ASAP!!! LOL

Answers

The top question, is 12’-1
The bottom is 12’2
The exponents are subtracted first which is just basic addition/ subtraction. Good luck!

Step-by-step explanation:

1 question

evaluate:

2985978

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6:

12⁶ -2 -4

Calculate 12 to the power of 6 and get 2985984:

2985984 -2 -4

Subtract 2 from 2985984 to get 2985982:

2985982 -4

Subtract 4 from 2985982 to get 2985978:

2985978

2nd question

evaluate:

8916100448255/35831808 = 248831.999999972

Calculate 12 to the power of 7 and get 35831808:

35831808 - 12-⁵/ 12²

Calculate 12 to the power of -5 and get 1/248832:

35831808 - 1/248832 | 12²

Subtract 1/248832 from 35831808 to get 8916100448255 / 248832:

8916100448255 / 248832 | 12²

calculate 12 to the power of 2 and get 144:

8916100448255 / 248832 | 144

Express 8916100448255 / 248832 | 144 as a single fraction.

8916100448255 / 248832 X 144

Multiply 248832 and 144 to get 35831808:

8916100448255 / 35831808

karin purchased a DVD player on sale. The original selling price was ​$171.50. The sale price was ​$136.97. What is the first step in finding the percent​ markdown? Find the percent markdown.

Answers

Answer:

?

Step-by-step explanation:

Andrew is descending 38 feet underwater while scuba diving. If he descends at a rate of 2 feet per second, how many seconds will it take Andrew to descend the full distance?

A.

36

B.

19

C.

-36

D.

-19

Nvm it's 19

Answers

The answer is:

B. 19

Did I get this right? Please help me

Answers

Answer:

yeah ur right lol

Step-by-step explanation:

Answer:

yes it's but I am not good at it but also

according to me that correct

Find the slope.
Anybody can help me ?

Answers

Answer: -2/7

Step-by-step explanation:

9. Solve the equation. (1 point)
4x = 68

64
72
12
17

Answers

Answer:

17

Step-by-step explanation:

or, 4x= 68

or, x = 68/ 4

: x = 17

Can you tell me the slope for each graph i got the first 2
answers are at the bottom​

Answers

Orange= 2/5 pink=1 green=4 purple=-2/3 :)

Answer: 1) m=2, 2) m=-2/3, 3) m=-2/5 4) m=-1/2 5) m=4 6) m=1

Step-by-step explanation:

2, 3, & 4 are all declining so they are going to be negative and 1, 5, & 6 are all inclining so they’re positive. When you put the amount you go up vertically from point to point over the amount you travel horizontally between each point you should get the slope for each graph.

What is the sum (Two-fifths x + Start Fraction 5 over 8 End Fraction) + (one-fifth x minus one-fourth)? Three-fifths x + Start Fraction 1 over 8 End Fraction Three-fifths x + Start Fraction 3 over 8 End Fraction Three-fifths x + Start Fraction 5 over 8 End Fraction Three-fifths x + Start Fraction 7 over 8 End Fraction

Answers

Answer:

3/5x + 3/8

Three-fifths x + Start Fraction 3 over 8

Step-by-step explanation:

Sum of :

(2/5x + 5/8) + (1/5x - 1/4)

Open the bracket :

2/5x + 5/8 + 1/5x - 1/4

Collect like terms :

2/5x + 1/5x + 5/8 - 1/4

3/5x + (5 - 2)/8

3/5x + 3/8

Answer:

1/8x+1/8x

Step-by-step explanation:

GEt iT riGhT

Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. After considering the decimal placement, what is Charlie's final answer?

Answers

Answer:

Result = 0.0045

Step-by-step explanation:

Given

[tex]0.09 * 0.05[/tex]

Required

Determine the result

Following Charlie's steps:

0.09 is a 2 decimal placed digit

and

0.05 is a 2 decimal placed digit

So, the product is as follows:

9 --------- 2 decimal place

5 --------- 2 decimal place

------------------------------------------

45 --------- 4 decimal place

Shifting the decimals in 45 to 4 decimal places will give us: 0.0045

Hence, the final answer is 0.0045

Answer:g

Step-by-step explanation:

Fred and Shannon bought an iPad together for $400. If Fred paid $58 more than Shannon, how
much did each pay?

Answers

Answer:

Fred paid $258 and Shannon paid $142

Step-by-step explanation:

Hope this helps!

Answer:

i belive that the one who payed more paid 258 dollars

Step-by-step explanation:

400/2=200

200+58+258

the guy who paid less paid 142 dollars because 400-258=142

Insulators are materials that stop the flow of electricity.Which of these is an example of an insulator.
A) nail
B) staple
C) crayon
D) paper clip
Pls give a explanation

Answers

Answer:

C

Step-by-step explanation:

because nobody makes wires out of crayons but crayons r cheap and they would be used as wires but they arent probably cuz they dont conduct electricity

Can someone help me?

Answers

Angle ACB is congruent to angle ACI so that would be option A
:)

The school cafeteria can serve 600 students in 40 minutes. At this rate how many students can They serve in 1 hour?

Answers

Answer: 900

Step-by-step explanation:

Hello!

First what you want to do is divide 600 by 40 to get 15.

Since there are 60 minutes in one hour you will multiply 15 * 60

to get a total of 900 students.

Hope this helps!

The freefall function to calculate velocity, v, of an object that begins at rest and falls for distance d is v(d) = 2gd , where g is the acceleration due to gravity. The Storm Runner roller coaster at Hershey Park drops 55 m. Use the free-fall function to calculate to the nearest tenth its velocity at the end of the freefall. Use g = 9.8 m/s2 Enter your answer, rounded to the nearest tenth, in the box. v(55) = m/s​

Answers

9514 1404 393

Answer:

  32.8 m/s

Step-by-step explanation:

The function is actually ...

  [tex]v(d) = \sqrt{2gd}[/tex]

Filling in the given values, the velocity is about ...

  [tex]v(55) = \sqrt{2\cdot9.8\cdot55}=\sqrt{1078}\approx32.8\text{ m/s}[/tex]

The velocity at the end of the free-fall is about 32.8 meters per second.

Madison’s manicure cost $25.90. She wants to leave a 15% tip. Which of the following is closest to the amount of the tip she wants to leave?

Answers

15% of $25.90 is $3.885, so just round up to your answer :)

Answer:

$3.88500

Step-by-step explanation:

so if you round it $3.9

I think

HELP Urgent! Pls Help

Answers

Answer:

u have to put i on the other side of the angle abc

Step-by-step explanation:

first u gotta fince the grades of each angles

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