Your friend claims that she has a bag of 30 coins containing nickels, dimes,
and quarters. The total value of the 30 coins is $3. There are twice as many
nickels as there are dimes. Is your friend correct?

Answers

Answer 1

9514 1404 393

Answer:

  No

Step-by-step explanation:

If all 30 coins were nickels and dimes, there would be 10 dimes and 20 nickels, for a total value of $2.00. Trading a dime and 2 nickels for an equal number of quarters raises the value to $2.00 -0.10 -2(0.05) +3(0.25) = $2.55.

That is, each such trade adds $0.55 in value to the total amount. Since the original difference of $3.00 -$2.00 = $1.00 is not evenly divisible by $0.55, there cannot be twice as many nickels as dimes.

__

For 30 coins, possible numbers of {nickels, dimes, quarters} are ...

{21,2,7}, {18,6,6}, {15,10,5}, {12,14,4}, {9,18,3}, {6,22,2}, {3,26,1}, {30 dimes}

Note that we can have 1.5, 3, or 10.5 times as many nickels as dimes, but not 2 times as many.


Related Questions

What is the area of a rectangle with a base of 7 cm and a height of 11 cm

Answers

Answer: 77

Step-by-step explanation:

If x= -4 and y= -3 what does 3x - 2y equal

Answers

Answer:

-6

Step-by-step explanation:

3(-4) = -12

-2(-3)= 6

-12+6= -6

Answer:

-6

Step-by-step explanation:

If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.

3(-4) = -12

2(-3) = -6

Then, once you figure out the multiplication, finish up the equation by subtracting.

-12 - (-6) = -6

Helpppppp plssssssssss

Answers

Answer

I dont know

Step-by-step explanation:

I would love to help but I have no clue

Answer:

slope = 12/7

Step-by-step explanation:

y2 - y1 / x2 - x1 = slope

slope = 4-(-8)/0-(-7)

slope = 12/7

How much interest would you pay on a $12000 loan at 5% for 6 years

Answers

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

what is the distance between (-1, 2) and (3, 5)

Answers

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

-1 is x12 is y13 is x25 is y2

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.​

Answers

Given:

[tex]\sigma_A=3[/tex]

[tex]n_A=6[/tex]

[tex]\sigma_B=5[/tex]

[tex]n_B=4[/tex]

[tex]\overline{x}_A=\overline{x}_B[/tex]

To find:

The variance. of combined set.

Solution:

Formula for variance is

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex]      ...(i)

Using (i), we get

[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]

[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]

Similarly,

[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]

[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]

Now, after combining both sets, we get

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]

[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]

[tex]\sigma^2=\dfrac{154}{10}[/tex]

[tex]\sigma^2=15.4[/tex]

Therefore, the variance of combined set is 15.4.

Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?

Answers

Alright, denote sweatshirts by x and tshirts by y:
for billy: 2x+3y=35$
for jordan:3x+3y=45$
We need to get rid of one of the unknowns inorder to solve, therefore we will subtract the two equations from each other. This will get rid of the y variable(3y-3y=0)
2x+3y=35$
-
3x+3y=45$
=
-1x=-10$
we get rid of the negative, which leaves us with x=10$. Knowing this info, we can now easily calculate y:
2x+3y=35$
2(10)+3y=35$
20+3y=35$
3y=15
y=15/3
y=5
Hope this helps!

i need help 42/18 simplified.

Answers

Answer:

The simplest form of 42/18 is 7/3 or 2 1/3

Step-by-step explanation:

Answer:

7/3 or 2 and 1/3

Step-by-step explanation:

So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3

please help, can't understand.

Answers

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

Evaluate −4(1/4)6x for x=1/3.
Enter your answer as a fraction in simplest form in the box.

Answers

the answer is -6x


hope this helped.

What is the area of the triangle in the diagram?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

We need to figure out the base and the height. We can do that using pythagorean's theorem.

The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.

Which of the following is the slope intercept form of the equation
3x - 8y = 16

A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2

Answers

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

Please help me with number 15. If you could provide work, that would be great.

Answers

x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think

Which of the following statements about AB and AC is true?​

Answers

Answer:AB is longer than AC

Step-by-step explanation:AP3X

Answer:

c

Step-by-step explanation:

I just did it on A.P.E.X.

kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?

Answers

Kevin has to work 22 hours to afford the bike
pretty sure the answers 1408 hours
cuz 176 x 8 is 1408

Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?

Answers

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

Morristown City Cafe recently introduced a new flavor of coffee. They served 24 grande cups and 51 jumbo cups of the new coffee today, which equaled a total of 1,506 ounces. The day before, 26 grande cups and 66 jumbo cups were served, which used a total of 1,868 ounces. How much coffee is required to make each size?

Answers

Hello like my comment for a free phone!hu

Please help! I am so confused on this, I've probably been stuck on it for at least an hour.

Answers

9514 1404 393

Answer:

  see attached for the drawing

  slope = -1/2

Step-by-step explanation:

For the rise of -1 and the run of 2, the slope is ...

  m = rise/run = -1/2 . . . . slope in simplest form

__

Additional comments

It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.

On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.

We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.

Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.

A 123​-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

Answers

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

Order the following fractions from least to greatest 2/8 2/3 2/9

Answers

Answer:

2/9, 2/8, 2/3

Step-by-step explanation:

2/9= 0.22 (to 2 decimal point)

2/8= 0.25

2/3 = 0.67

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?

Answers

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have​

Answers

Problem:

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

Solution:

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

Checking:

[tex]8 \times \frac{1}{2} [/tex]

[tex] = 4 \times \frac{1}{1} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

Final Answer:

8 pieces

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

f(x)=x^3+9x^2+23x + 15

Answers

This is what I got hope it helps!

Yuto solved the equation below.

Negative 2 (x + 5) = negative 2 (x minus 2) + 5

What is the solution to Yuto’s equation?

Answers

Answer:

x = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-2(x + 5) = -2(x - 2) + 5

Step 2: Solve for x

Distribute -2:                    -2x - 10 = -2x + 4 + 5Add:                                  -2x - 10 = -2x + 9Add 2x on both sides:     -10 ≠ 9

Here we see that -10 does not equal 9.

∴ x = no solutions.

Answer:

no solution

Step-by-step explanation:

:)

mandy flips a quater 360 times .how many time should she expect to see heads

Answers

Answer:

180

Step-by-step explanation:

Did I get it correct?

Answers

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

What is the equation

Answers

what equation? there isn’t any shown.

A garrison of 120 people had enough food for 30 days. If 20 people leave the garrison after 10 days, how long do the remaining provisions last?​

Answers

Answer:

We know that no. of days is inversely propotional to the provision for men.

So for 120 men the provision would last for 30days. (given)

Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.

Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days

A.t.q 120*30 = 120*5+125*x

(120*30) - (120*5)= 125x

120(30-5)=125x

120 * 25 = 125x

120 = 5x

x=120/5

x= 24

so the provision would remain for more 24 days.

1) What are the solutions of (x/3) > -1?

is this asking if I need multiple solutions?​

Answers

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

The sporting goods store has a pair of soccer cleats on sale for $52. Without the sale they are $75. What is the percent of decrease? (Round to the nearest percent.)

Answers

Answer:

nl i can't give sorry again

31%
(75-52)/75=.306667
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