The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?

Answers

Answer 1

Answer:

They have 23 dimes

Step-by-step explanation:

Let x be the number of dimes

1 dime = 0.1 dollar

x dimes = 0.1x dollars

They found there were 14 more quarters than dimes.

No. of quarters = x+14

1 quarter = 0.25 dollar

(x+14) quarter =0.25 (x+14)

The number of nickels was 8 less than 4 times the number of dimes.

So, No. of nickels= 4x-8

1 nickel = 0.05 dollar

(4x-8) nickel = 0.05(4x-8) dollar

The total value of the nickels, dimes, and quarters was $15.75.

So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75

x=23

Hence they have 23 dimes


Related Questions

.
[140
m21%
10.70
050
060

Answers

Answer:

93%

Step-by-step explanation:

caculator

[tex]\sqrt{-16} -\sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4} +3i-3i^{2} +3i^3[/tex]

Answers

Answer:

4(i-1)

Step-by-step explanation:

Given the expression   [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)

Please help me I keep getting long and I do not know what I’m doing

Answers

Answer:

-2

Step-by-step explanation:

Trial and error with multiples of 5.

The first one Tried was 15 and

I got kJ and kl= 15. But that’s not right as they are equal now.

Note that the numbers we are trying are the difference between j and k and not where k is,yet

So, I tried 25

K = -27 + 25 = -2

K from l = 3-5(because ratio was five to one) =-2

Hope this helps

Help help help please urgent ❤️

Answers

Answer:

5565

Step-by-step explanation:

5565

intuitively i think its 5565 ;)

Please help urgently!

Answers

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

For a: a = 4√2 - 3 - b √2

For b: b = ( 4√2 - 3 - a )√ 2 / 2

What is the measure of arc ADC if the measure of arc BC is 52 degrees

Answers

Answer:

bc 52dndnxnnxxjxmsowkdkdodjdjdidj

3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)

Answers

Answer:

-4n³ - 8n² - 4n

Step-by-step explanation:

Any answers plzzzzzz​

Answers

Answer:

A = 3[tex]r^{2}[/tex]

Step-by-step explanation:

r = [tex]\sqrt{\frac{A}{3} }[/tex]

r = [tex](\frac{A}{3})^{1/2}[/tex]

square both sides:

[tex]r^{2}[/tex] = [tex]\frac{A}{3}[/tex]

multiply 3 to both sides:

3[tex]r^{2}[/tex]  = A

Answer:

[tex] a= 3r {}^{2} [/tex]

[tex] \sqrt{ \frac{a}{3} } = r \\ \frac{1}{3a} = r {}^{2} \\ \frac{1}{3a} \frac{1}{3} = r {}^{2} \frac{1}{3} \\ a = 3r {}^{2} [/tex]

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw

Answers

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ

Answers

Answer:

Option (3)

Step-by-step explanation:

Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.

[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]

First term of this series 'a' = 6

Common ratio 'r' = 2

We have to find the sum of 4 terms of this infinite series (n = 4).

Sum of n terms of a geometric series is,

[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]

[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]

    [tex]=\frac{6(16-1)}{(1)}[/tex]

    [tex]=90[/tex]

Therefore, sum of 4 terms of the given series will be 90.

Option (3) will be the answer.

Factor x^3 + 2x² + x completely.

Answers

Answer:

x(x+2)^2

Step-by-step explanation:

x^-3 +2x^2 +x

Taking x as common

x(x^2+2x+1)

x[(x)^2+2(x)(1)+(1)^2]

x(x+2)^2

I hope it will help you

A blockbuster movie makes about $35,200,000 in the
United States during its opening weekend. The same
weekend another movie opens but only makes about
$2,500,000
What is the combined revenue for the movies? Write
your answer in scientific notation.
Show your work.

Please help. ​

Answers

Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

I WILL MARK YOU BRAINLIEST!!!! PLZ HELP

Answers

Answer:

C. G(x) is a negative number with a small absolute value

Step-by-step explanation:

As x increases, G(x) goes towards 0 from the a negative quadrant.

what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?

Answers

You need to add 8 and -3 together to get 5 and divide 5 by 2 to get 2.5
That is the x coordinate
You then need to add 2 and -4 together to get -2 and divide by 2 to get -1
This is the y coordinate
(2.5,-1)

The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)

The standard equation of a circle is:

(x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius of the circle.

Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:

[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]

Hence the center of the circle is at (2.5, -1)

The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)

What is the value of x?

Answers

Answer:

x = 155

Step-by-step explanation:

155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel

x = 155

X=155 because of alr exterior angles

What is the midpoint of the segment shown below ?

Answers

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Plug in the point values to solve for the midpoint:

[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]

Simplify:

[tex](\frac{10}{2}, \frac{1}{2})[/tex]

(5, 1/2) is the midpoint.

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?

1. Whereon the lineaments of that dead face

2. Are graven, till the characters be grown

3. Into itself, and thought no more can trace;

4. 'Tis the melodious hue of beauty thrown

A:Tis the melodious hue of beauty thrown

B:into itself,and thought no more can trace

C: Are graven,till the characters be grown

D: Whereon the linements of that dead face

explain answer ​this question is English

Answers

Answer:

A: Tis the melodious hue of beauty thrown  .

Explanation:

An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.

In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".

Thus, the correct answer is option A.

Which situation is best modeled by the equation 11 + x=28

Answers

Answer:

1

Step-by-step explanation:

First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28

Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.

The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28

Answer:

The first choice

Step-by-step explanation:

Factorize 7x3 - 21x2

Answers

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Distributive property

How do you tell the difference between a inclusive data set probability and a exclusive data set probability?

Answers

Answer:

2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

Step-by-step explanation:

Please help there’s a picture
60°
60
Y=?

Answers

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

Is 90
I hoped it helps

The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements
f(4) is
f(x) = 4 when x is
4
8
2
3
11
3
NI-
Intro
Done

Answers

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

What are the domain and range?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ7

Find the total surface area of this cuboid

Answers

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

2x+y-5= Please help

Answers

+2 !!!!!!!!!!!!!!!!!!!!! :)

Five minutes after midnight of 25 April 2016 there was a heavy rain in Adelaide. 144 hours later, what is the probability that it would be sunny over there? Justify your answer.

Answers

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Circle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB

Answers

Answer:

The correct options are;

a: line AB Is a diameter of circle O is the b: midpoint of AB

Step-by-step explanation:

Given that the circle with circumscribes the triangle, we have;

The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center

Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.

Answer:

line AB

midpoint

Step-by-step explanation:

A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour

Answers

.75 mi/ min = x mi/ 1 hour

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

A study of the effect of seatbelt use in head-on car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less that a 0.0001 chance of getting these results. The probability shows that the sample results ____(could or could not) have occurred by chance. It appears that there _______ (is or is not) sufficient evidence to conclude that seatbelts do have an effect on survival rate.

Answers

Answer:

The correct option are;

1) Could not

2) Is

Step-by-step explanation:

The parameters given are;

The survival rate of drivers using seat-belt = 67%

The survival rate of drivers not using seat-belt = 41.5%

The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001

Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;

The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.

Simplify
Please thanks

Answers

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.

Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?

Answers

Answer:

Meena's is 5 and her father is 30

Step-by-step explanation:

x+5+6x+5=2x+6x+5

x+6x-2x-6x=5-5-5

-x =-5

x =5 Meena

6*5

=30 Her father's age

Have a good day and stay safe!

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