A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?

Answers

Answer 1
Let N equal the number of nickels.
Let D equal the number of dimes.
Let Q equal the number of quarters.

We know that .05N + .10D + .25Q = 5.50.
We also know that N + D + Q = 30.
We also know that D = 2N.

Therefore, Q = 30 - (N + D) = 30 - (N + 2N) = 30 - 3N

So...

5.50 = .05N + .10(2N) + .25(30 - 3N)
= .05N + .20N + 7.50 - .75N

Therefore (moving all N's to the left of the equals sing, and all constants to the right of the equals sign)...

.5N = 2.

Therefore, N = 4. There are four nickels, eight dimes, and 18 quarters.

Checking our work...
Four nickels is 0.20.
Eight dimes is 0.80.
18 quarters is 4.50.

That sums to 5.50, and is 30 coins.

Related Questions

-4=g+1
A. g=-4
B. g=4
C. g=-5
D. g=-3

Answers

C. g=-5 is the correct answer 

The answer is C. If you try inputting each of the choices in one at a time and workong them out, youll see that -4+1=-3 4+1=5 -5+1=-4 and -3+1=-2

What is 4 pi cubed divided by 3

Answers

52.6378901393 should be correct.

Nonstandard dice can produce interesting distributions of outcomes. you have two balanced, six-sided dice. one is a standard die, with faces having 1, 2, 3, 4, 5, and 6 spots. the other die has three faces with 0 spots and three faces with 6 spots. what are the possible values for the total number of spots y on the up-faces when you roll these two dice?

Answers

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
   
One die can show the values 1-6, while the other die can only show 0 or 6. So the possible totals are 1 through 6 plus 0 and 1 through 6 plus 6. Written out, one-by-one, this gives: 1+0 = 1 2+0 = 2 3+0 = 3 4+0 = 4 5+0 = 5 6+0 = 6 1+6 = 7 2+6 = 8 3+6 = 9 4+6 = 10 5+6 = 11 6+6 = 12
Final answer:

When rolling a standard die and another die with faces having either 0 or 6 spots, the possible total values y range from 1 to 12, excluding the numbers 5 and 6 twice due to the unique nature of the second die.

Explanation:

The question asks about the possible values for the total number of spots y on the up-faces when you roll two nonstandard dice: a standard six-sided die with faces having 1, 2, 3, 4, 5, and 6 spots, and another die with three faces having 0 spots and three faces having 6 spots. To find y, we need to consider all the possible outcomes of rolling these two dice and summing the numbers of spots on the up-faces.

If the standard die shows a 1, y can be 1+0=1 or 1+6=7.If it shows a 2, y can be 2+0=2 or 2+6=8.If it shows a 3, y can be 3+0=3 or 3+6=9.If it shows a 4, y can be 4+0=4 or 4+6=10.If it shows a 5, y can be 5+0=5 or 5+6=11.If it shows a 6, y can be 6+0=6 or 6+6=12.

Therefore, the possible values for y are 1, 2, 3, 4, 5, 5, 7, 8, 9, 10, 11, and 12.

Which function below is the inverse of f(x)=x^2-25

Answers

f(x) = x^2-25

 inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

 Answer is B

Enid got a job through an employment agency that charges a fee equal to 40% of the first five weeks’ pay. The job pays $315 per week. How much does Enid have to pay the employment agency?

Answers

Enid has to pay the employment agency $625
So first let's find the total amount Enid made which is $315 X 5 weeks = $1,575. Now let's get the 40% that is owed to the employment agency $1,575 X .40 = $630.

Did I do number 2 right?

Answers

You should have 
y = a*(x-p)*(x-q)
2 = a*(x-0)*(x-1)
2 = a*(2-0)*(2-1)
2 = a*(2)*(1)
2 = 2a
2a = 2
2a/2 = 2/2
a = 1

So the equation 
y = a(x-0)(x-1)
updates to
y = 1(x-0)(x-1)
and that simplifies to
y = x(x-1)

The next step is to distribute the x through to get this final answer
y = x^2-x

I don't know how to do this

Answers

2(6-7x) = -8(x+6)

 multiply the numbers inside the parenthesis with the numbers outside of them:

12 -14x = -8x-48

add 12 to each side:

-14x =-8x -36

add 8x to both sides

-6x = -36

divide both sides by-6

x = 6

What numbers below belong to the solution set of the inequality... x+16>51


38
35
16
80
55
34

Answers

Well, it has to be more than 35 because 35+16=51 and there is no greater than or equal to sign... Just greater than so the answer is 38, 55, and 80! Hope I helped!!!

What is 3x-2 if x=-1/3

Answers

Givens

x = - 1/3

y = 3x - 2


Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1


So y = -1 - 2

y = - 3


Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.

Four times a number, x, plus 3 times a number, y, equals 75. Five times x minus 3 times y equals 6. Find the numbers by setting up a system of linear equations and solving the system using the elimination method.

Answers

X=9 y=13
4x+3y=75;5x−3y=6
Step: Solve4x+3y=75for x:
4x+3y+−3y=75+−3y(Add -3y to both sides)

Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total Republican B 33 C 90 Democrat A 24 34 E Total 61 D 53 171 Which of the following can be determined from the table above? A. 2004-06-03-06-00_files/i0290000.jpg B. 2004-06-03-06-00_files/i0290001.jpg C. 2004-06-03-06-00_files/i0290002.jpg D. 2004-06-03-06-00_files/i0290003.jpg

Answers

B) On e2020 at least

Hope I helped!

The values that can be determined from the table are:

A = 23, B = 38, C = 19, D = 57 and E = 81

What are equations?

Equations are expressions that have equal values, and they are represented by the "=" sign

How to determine the values of A to E

The table entries are given as:

                   Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total

Republican         B                                   33                            C                  90

Democrat            A                                   24                           34                  E

Total                   61                                    D                            53                171

From the table, we have the following equations

[tex]B + 33 + C = 90[/tex]

[tex]A + 24 + 34 = E[/tex]

[tex]61 + D + 53 = 171[/tex]

The above equations become:

[tex]B + 33 + C = 90[/tex]

[tex]B + C = 57[/tex]

[tex]A + 24 + 34 = E[/tex]

[tex]A + 58 = E[/tex]

[tex]61 + D + 53 = 171[/tex]

[tex]D= 57[/tex]

Also from the table, we have the following equations

[tex]B + A = 61[/tex]

[tex]C + 34 = 53[/tex]

[tex]90 + E = 171[/tex]

Solve for C and E in the above equations

[tex]C + 34 = 53[/tex]

[tex]C = 19[/tex]

[tex]90 + E = 171[/tex]

[tex]E = 81[/tex]

Recall that:

[tex]A + 58 = E[/tex]

So, we have:

[tex]A + 58 = 81[/tex]

[tex]A = 23[/tex]

Recall that:

[tex]B + A = 61[/tex]

So, we have:

[tex]B + 23 = 61[/tex]

[tex]B = 38[/tex]

Hence, the values that can be determined from the table are:

A = 23, B = 38, C = 19, D = 57 and E = 81

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What is the equation of a horizontal line passing through the point (−3, 8)?
x = −3
y = 8
x = 5
y = −11

Answers

The equation of a horizontal line passing through the point (−3, 8) is y= 8

How to determine the equation of a horizontal line passing through the point (−3, 8)

From the question, we have the following parameters that can be used in our computation:

The point (−3, 8)

The equation of a horizontal line is of the form

y = c, where

c is a constant.

Since the line is horizontal, the value of y is constant for all points on the line.

In this case, the line passes through the point  (−3,8), so the equation of the horizontal line is  y = 8.

A rectangular rug covers the floor in a living room one of the walls in the same living room is painted blue. Are the rug and the blue wall parallel

Answers

No, the rug is on the floor, which connects to the blue wall at a 90 Degree angle, if it were parallel then they would never meet.
Yes cuz they're diagonal

(17+4) + 9 = 17 + (4+9)

Answers

that's the associative property of addition

it is normally written as
(a+b)+c=a+(b+c)
which is like what you have
(17+4)+9=17+(4+9)

Brooke buys a toothbrush and toothpaste for 2.95. If the toothbrush costs .65 less than the toothpaste. How much is the toothbrush

Answers

Divide the cost by 2 and then add .65 to one side and subtract it from one of side and add it to the other. .82 for the tooth brush and 2.12 for the toothpaste
Final answer:

Given the information, we can determine that the cost of the toothbrush is $1.15. To arrive at this, we created an equation based on the given information and solved for the unknown, which in this case is the cost of the toothbrush.

Explanation:

If Brooke buys a toothbrush and toothpaste for $2.95, and the toothbrush costs $.65 less than the toothpaste, we have to use the information to solve for the cost of the toothbrush.

Let's define the cost of the toothpaste as x. Therefore, the cost of the toothbrush would be x - $0.65 (since the toothbrush costs $0.65 less than the toothpaste).

The combined cost of the toothbrush and toothpaste is $2.95, so we can set up the equation: x + (x - $0.65) = $2.95

If we simplify and solve this equation, we get x = $1.80. That's the cost of the toothpaste. The cost of the toothbrush would therefore be $1.80 - $0.65 = $1.15.

So, the toothbrush costs $1.15.

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Please help me with this graphing problem

Answers

As I am on this site to help, I will assist in your understanding. However, please don't make this a regular occurrence. FLVS quizzes are supposed to be taken without the help of others. 

Anyway....

A domain of all real numbers means that a function will have an infinite amount of x-values. As g(x) and f(x) both are line segments, p(x) is the only function with a domain of all real numbers.  

the table shows the annual profits (in thousands of dollars) of a county fair from 2008 to 2012. What must the 2012 profit be (in hundreds of dollars) to break even over the five-year period?

Answers

The break-even point is the point in which a business makes no gain and no loss.

Let the 2012 profit be x, then

2.5 + 1.75 + (-3.3) + (-1.4) + x = 0

4.25 - 3.3 - 1.4 + x = 0

-0.45 + x = 0

x = 0.45

Therefore, the 2012 profit must be 0.45 thousand dollars = 4.5 hundred dollars to break even over the five-year period.

The 2012 profit must be 0.45 thousand dollars is equal to 4.5 hundred dollars to break even over the five-year period.

It is required to find the profit in 2012.

What is break even point?

The break-even point is the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. It  tells an owner the amount of revenue needed to cover all expenses, including fixed costs.

Given:

The break-even point is the point in which a business makes no gain and no loss.

According to given question we have

Let the 2012 profit be x, then

2.5 + 1.75 + (-3.3) + (-1.4) + x = 0

4.25 - 3.3 - 1.4 + x = 0

-0.45 + x = 0

x = 0.45

Therefore, the 2012 profit must be 0.45 thousand dollars is equal to 4.5 hundred dollars to break even over the five-year period.

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Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle? NR units

Answers

[tex]\bf \textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}\qquad \begin{cases} s=\textit{length of a side}\\ ---------\\ s=16\sqrt{3} \end{cases}\implies h=\cfrac{16\sqrt{3}\cdot \sqrt{3}}{2} \\\\\\ h=\cfrac{16\cdot 3}{2}\implies h=8\cdot 3\implies h=24[/tex]

Answer:24

Step-by-step explanation:

Three variable 2x-5y+z=5 3x+2y-z=17 4x-3y+2z=17

Answers

need more information send attachement in my inbox

Sammy and David were selling waterbottles to raise money for new football uniforms Sammy sold 5 for every 3 waterbottles David sold together they sold 160 waterbottles how many did each boy sell

Answers

5+3 = 8
160 divide by 8 = 20 sets
20 X 5 = 100 ( Sammy)
20 X 3 = 15 ( David )

P=21+2w the answer is w=p-21/2 I need the work to go along with it

Answers

solveing for w

P=21+2w
minus 21 both sides
P-21=2w
divide both sides by 2

[tex]\frac{P-21}{2}=w[/tex]
[tex]w=\frac{P-21}{2}[/tex]

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f*g) (x)?

Answers

 (f*g) (x) = (3x + 2) (x^2 + 1)
 (f*g) (x) = 3x^3 + 3x + 2x^2 + 2
 (f*g) (x) = 3x^3 + 2x^2 + 3x + 2


Answer:  The required expression is [tex]3x^3+2x^2+3x+2.[/tex]

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=3x+2\\\\g(x)=x^2+1.[/tex]

We are to find the expression equivalent to [tex](f*g)(x).[/tex]

We know that

for any two functions p(x) and q(x), we have

[tex](p*q)(x)=p(x)\times q(x).[/tex]

Therefore, we get

[tex](f*g)(x)\\\\=f(x)\times g(x)\\\\=(3x+2)(x^2+1)\\\\=x^2(3x+2)+1(3x+2)\\\\=3x^3+2x^2+3x+2.[/tex]

Thus, the required expression is [tex]3x^3+2x^2+3x+2.[/tex]

(-7,8)(-9,10)(-6,11) reflected over x-axis What are the new coordinates

Answers

ok so if it is reflected over the x axis is y=-x  so now you can convert it to the x axis terms
When you reflect something over the x-axis, you flip the y-coordinate's symbol but not the x-coordinate's.

So
(-7,8) is now (-7, -8)
(-9,10) is now (-9, -10)
(-6,11) is now (-6, -11)

Hope this helps!

At an annual salary of 55000 per year what is the amount of semi monthly paychecks

Answers

Simi mean half. So he gets 55000 a year. So find out  how much he gets per months by dividing we  divide 55000 by 12 = 4583.33 per month so now divide that by 2 
4583.33 / 2 = 2291.665 simi per month or if we round 2291.67

The answers is 2291.665 
The answer if we round is 2291.67
Semi-monthly means two times per month.

If someone gets 55,000 salary annually or 12 months, he will get 55,000/24 = 2291.67 per 2 times per month(semi-monthly).

Ans: 2291.7.

The coordinate plane below represents a town. Points A through F are farms in the town.Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A.
 (3 points)

Answers

y > = 4
y > = x + 4

y > = 4.......this is a horizontal line with a y int of 4.....so go to 4 on ur y axis, and draw a line going horizontal...all the way across....and since it is greater then, shade above the line...and since there is an equal sign, the line should be solid.

y > = x + 4....this has a y int of 4 or (0,4).....the slope is 1....the x int is (-4,0)....since it is greater, it will be shaded above the line...and since there is an equal sign, the line will be solid.

D and E are solutions because when u graph these lines, they both fall into the shaded region and are therefore solutions

Find two consecutive integers whose sum is 101

Answers

the two integers that sum is 101 is 20.2 and 1

Find b given that p(b,2) is equidistant from a(5,4) and b(2,5)

Answers

hello : 
PA = PB  or  PA² = PB²
(5-b)²+(4-2)² = (2-b)² + (5-2)²
(5-b)²+4 = (2-b)² + 9
25 -10b +b² + 4  =  4 -4b+b² +9
-6b = -16 
b = 8/3

A glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years. what was the glaciers rate of change

Answers

The rate of change is : 

(2010 - 1780)/5 = 230 / 5 = 46

46m per year

Answer:

[tex]-46[/tex] meters per year.

Step-by-step explanation:

We have been given that a glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years.

[tex]\text{Rate of change}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\text{Rate of change}=\frac{1780-2010}{5-0}[/tex]

[tex]\text{Rate of change}=\frac{-230}{5}[/tex]

[tex]\text{Rate of change}=-46[/tex]

Since the glacier is melting down, therefore, the glacier's rate of change would be [tex]-46[/tex] meters per year.

Find the area of triangle.

Answers

Look at the traingle upside down.

The base is 6 and the height is 5 (remember that height must be perpendicular to the base and that the red lines aren't actually a part of the figure).

6*5=30
30/2=15

Final answer: 15 yd^2

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.



Solve for a.

Answers

multiply both sides by 2 to get

2A = (a+b)*h

divide both sides by h

 to get 2A/h = a+b

 subtract b from both sides to get a = 2A/h -b


3rd choice is correct





Option C - a = [tex]$\frac{2A-bh}{h}[/tex] is the correct alternative.

We have the formula for a trapezoid that relates the area - A, the two bases - a and b and the height - h as follows -

[tex]$A=\frac{(a+b)}{2} h[/tex]

We have to solve for ' a '.

Solve for x :  x ( 1 + 2 + 3 + .... + n) = π

On solving -

x( 1 + 2 + 3 + .... + n) = π

[tex]\frac{xn(n+1)}{2} =\pi[/tex]

[tex]x =\frac{2\pi }{n(n+1)}[/tex]

According to the question, we have -

[tex]$A=\frac{(a+b)}{2} h[/tex]

2A = (a + b)h

2A = ah + bh

2A - bh = ah

a = [tex]$\frac{2A-bh}{h}[/tex]

Hence, Option C is the correct alternative.

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