A box contains 83 coins, only dimes and nickels. The amount of money in the box is $5.80. How many dimes and how many nickels are in the box?

Answers

Answer 1

Answer:

Step-by-step explanation:

n = nickels

d = dimes

q = quarters

1)  n + d + q = 39

n+d = q - 3

Translate to:  2)   n + d - q = -3

.05n + .1d + .25q = 6.7   amount of each coin times the number of coins must add to 6.7

Multiply both sides by 20...

3)  1n + 2d + 5q = 134

Combine 1) & 2)

n + d + q = 39

n + d  - q = -3

Add together

2n + 2d = 36

Divide by 2:

4)  n + d = 18

Combine 1) and 3)

n + d + q = 39         Multiply by -5 =>  -5n -5d -5q = -195

n + 2d + 5q = 134                              n + 2d + 5q = 134

Add together->                                 5)   -4n - 3d  = -61

Combine 4) and 5)

  n + d = 18   Multiply by 4 =>  4n + 4d = 72

-4n - 3d = 61                          -4n - 3d = -61

Add:                                               d = 11

11 dimes...

Plug that into 4)

n + 11 = 18

n = 18-11 = 7 nickels.

Plug that into 1.

n + d + q = 39

7 + 11 + q = 39

18 + q = 39

q = 39-18 = 21 quarters

21 quarters, 7 nickels, and 11 dimes.

21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7   Check.


Related Questions

How can you evenly split 8 apples among 15 people without cutting any apple into more than 5 parts?

Answers

Answer:

1/3 and 1/5

Step-by-step expl1

u should kno

what is a decimal in mathematics

Answers

Answer:

a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Step-by-step explanation:

Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?

a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.

Answers

Answer:

b. The fitted regression line is approximately Y = 82.42(runtime)

Step-by-step explanation:

The regression line is Y=  aX + b

here b= 82.42   a = -3.31

Hence the regression equation is

Y= 82.42- 3.31 X

where x is the runtime and the slope  is given by b.

Option  a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.

Option b is incorrect because the runtime is not given by Y it is given by X.

Option C is correct  as  

Y= 82.42-3.31*10

Y= 82.42-33.1

Y= 49.32  almost 50

Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.

Option e is also correct because the slope is given by b and b= 82.42

jaslyyyyyyyyyy yus beans

Answers

Answer:

7/9

Step-by-step explanation:

21 / 27 = 3 * 7 / 3 * 9

= 7/9

HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!

Answers

Answer:

7.07

Step-by-step explanation:

Help pls!Pls and ty!

Answers

Answer:

a

Step-by-step explanation:

Use the formula R = log I, where R is the measurement of the Ritchter scale and i is the intensity, to find the Ritchter scale measurement of an earthquake with intensity 24,000,000. NO LINKS!!!

Answers

9514 1404 393

Answer:

  7.4

Step-by-step explanation:

Put the given value into the formula and do the arithmetic.

  R = log(2.4×10^7)

  R ≈ 7.3802 ≈ 7.4

The earthquake is about 7.4 on the Richter scale.

What is z if x = 25, u = 22, o= 6, and
n = 9?

A. -2.5
B. -1.5
C. 1.5
D. 2.5

Answers

Answer:

what's the equation????

Can someone help me?

Answers

Answer:

7. D) 61in

8. A) 57in

9. A) 47in

Step-by-step explanation:

The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.

7.

AB + BC + AC = 145

Substitute,

2x + 2x + 5 + x = 145

Simplify,

5x + 5 = 145

Inverse operations,

5x + 5 = 145

-5

5x = 140

/5

x = 28

Substitute,

AC = 2x + 5= 2(28) + 5 = 61

8.

AB + BC + AC = 135

Substitute,

2x + 2x + 5 + x = 135

Simplify,

5x + 5 = 135

Inverse operations,

5x + 5 = 135

-5

5x = 130

/5

x = 26

Substitute,

AC = 2x + 5 = 2(26) + 5 = 57

9.

AB + BC + AC = 122

Substitute,

x + 22 + 2x + x = 122

Simplify,

4x + 22 = 122

Inverse operations,

4x + 22 = 122

-22

4x = 100

/4

x = 25

Substitute,

AB = x + 22 = 25 + 22 = 47

Which figure shows a reflection of ​pre-image QRS​ over the line t?

I need help PLSSSSS 50 points!!!

Answers

The first one, it is mirroring it and if you were to fold it in half it would be the same

Can u help me please I will mark u brilliant

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Which figure shows a reflection of ​pre-image QRS​ over the line t?

I need help PLSSSSS 50 points!!!

Answers

Answer:

A, because its reflecting off of the y axis

Step-by-step explanation:

I have proof links, and I took the test

I need help on this!

Study guide for exam

No links

The circle has the same question!

Answers

Answer:

60

Step-by-step explanation

20*3 becasuse it equlatrial

60m. 20 + 20 + 20 = 60 as the perimeter is the addition of all sides of the shape

How many 1/3s are in 1 2/3?

Answers

Answer:

12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/3+2/3 = 5/3

Answer is 5

What is the sum of 3 1/4 and 4 3/4 simplify answer

Answers

Answer:

8

Step-by-step explanation:

3  1/4

+4  3/4

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

7   4/4

But we know 4/4 = 1

7 +1

8

Answer:

8

Step-by-step explanation:

3 and 1/4 + 4 and 3/4 =

3+4+1/4 +3/4

= 3+4+4/4  because 4 fourths is one whole

=3+4+1 = 8

The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?

Answers

Solution :

Mean time for an automobile to run a 5000 mile check and service = 1.4 hours

Standard deviation = 0.7 hours

Maximum average service time = 1.6 hours for one automobile

The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]

                                           = 2.02

Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.

There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.

If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.

Answers

Answer: 5

Step-by-step explanation:

A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.​

Answers

22cm^3

Step-by-step explanation:

My education system is different so I dont know what nearest tenth would mean in this .

But going mathematically:

Its diameter is 7 centimetres.

So to find its volume we can use the formula pi/d or pi/r^2

Now, 22/7÷7 would be 22cm³.

Which equation represents the data in this function table?


A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3

Answers

Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The answer is not b

Step-by-step explanation:

Find the x and y intercept of the equation -2x+4y=12

Answers

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

The slope of the line below is 0.4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
(-5, -3)

Answers

The answer in point-slope form is:
y + 3= 0.4(x + 5)

Determine whether each ordered pair is a solution of the inequality-3x-4y<6

Answers

Answer:

it's (6,0) I can't explain though

how to find the volume of this cube

Answers

The answer is b because volume=length x width x height

Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?

Answers

Answer:

D

Step-by-step explanation:

Tessellations

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)

a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)

Please select the best answer from the choices provided

Answers

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

What is the measure of arc BC?

Answers

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BEC, so is ...

  arc BC = 2×50°

  arc BC = 100°

Answer:

Step-by-step explanation:

The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.

A triangle as a height of 18 cm and a base of 3.5 cm what is the area of the triangle

Answers

Answer:

31.5

Step-by-step explanation:

The area of a triangle is 1/2 * b * h

so base times height times one half

Answer:

31.5 cm²

Step-by-step explanation:

(18 · 3.5) ÷ 2

63 ÷ 2

31.5

Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45

Answers

Answer:

c

Step-by-step explanation:

Anthony cut a piece of metal that weighed 2,700 grams. Dionne cut a piece of metal that weighed 3,200 grams. How much heavier was Dionne’s piece, in kilograms?
A 0.5 C 50
B 5 D 500

Answers

Answer:

D: 500

Step-by-step explanation:

This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?

                                    XxRoadToAcexX

Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)

Answers

Answer:

8

Step-by-step explanation:

4x2=8

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