Nolan has five more quarters and dimes and seven fewer nickels and dimes. He has 25 coins. How many of each coin does he have? How much money in dollars and cents is it worth?

Answers

Answer 1

Answer:

9 dimes, 4 nickels, 12 quarters

90 cents + 20 cents + 300 cents = 410 cents = $6.83

Step-by-step explanation:

q=5+d

n=d-7

q+n+d=25

5 + d + d - 7 + d = 25

3d-2=25

3d=27

d=9

25 - 9 = 16 nickels and quarters

q + n = 16 ---> q=16-n

n=d-7 ---> d=n+7

q=5 + n + 7

q=n+12

n+12 = 16-n

2n=4

n=4

25-(9+4)= 12 quarters

Answer 2
Answer:

He has 2 nickels, 9 dimes, and 14 quarters, with a total value of $4.50

Step-by-step explanation:

I am going to assume that the "and" in "five more quarters and dimes" and the "and" in "seven fewer nickels and dimes" is actually "than" because otherwise, there is no context in this question. If my answer is incorrect, please tell me how to correctly interpret this question.

In this scenario, the "and" in "five more quarters and dimes" and the "and" in "seven fewer nickels and dimes" is actually "than."

Amount of nickels - x

If there are seven fewer nickels than dimes, the amount of dimes is x + 7. There are five more quarters than dimes, so the amount of quarters is x + 7 + 5, which equals x + 12.

x + x + 7 + x + 12 = 253x + 19 = 253x = 6x = 2

Therefore, there are 2 nickels. Now we must figure out the number of quarters and dimes.

x + 7 = 9

x + 12 = 14

There are 9 dimes and 14 quarters.

Nickels are each worth 5 cents. 2 times 5 is 10 cents.

Dimes are each worth 10 cents. 9 times 10 is 90 cents.

Quarters are each worth 25 cents. 14 times 25 is 350 cents.

Now, we add. 10 + 90 + 350 = 100 + 350 = 450.

REMEMBER, THIS IS IN CENTS. WE MUST STILL CONVERT IT INTO DOLLARS.

450 divided by 100 is $4.50


Related Questions

Please help me!!!!!!!!!!

Answers

Answer:

i can't see the pic

Step-by-step explanation:

What is the equation of the line shown in this graph?

Answers

Answer:

Step-by-step explanation:

formula of a linear line - y=mx+c

so y=

m= gradient x =x coodinate c=y-intercept

c= -3

m = 0

which is y=-3

pls give me brainliest

pls:(

Answer:

y = - 3

Step-by-step explanation:

Points given:

(- 2, - 3) and (3, - 3)

This is a horizontal line with constant y - value of - 3.

So it equation is y = - 3.

Part H is not showing including H too, can someone please help me

Answers

The scale factor k=5

corresponding parts are:

AL--> TD

TK---> AH

DK---> LH

angle A-----> angle T

angle D-----> angle L

angle H-----> angle K

What is scale  factor?

The difference in scale between an original object's scale and that of a new, smaller representation is known as a scale factor (bigger or smaller). By multiplying each side by a certain number, say 2, we can increase the size of a rectangle with sides of 2 cm and 4 cm.

The letter H lies on the line TK

Scale factor k

=( side length of new image)/ ( corresponding side length of new image)

=TD/AL=15/3=5

k=5

From the figure, corresponding parts are as below:

AL--> TD

TK---> AH

DK---> LH

angle A-----> angle T

angle D-----> angle L

angle H-----> angle K

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What is Desmos in math?

Answers

Answer:

Desmos is a free graphing and teaching tool for math available on the web as well as on iOS and Android. In addition to plotting equations, classroom activities are available to help students learn about a variety of math concepts.

A definition of Desmos has been given below

What is Desmos?
Desmos
can be applied in a variety of contexts. Students can avoid spending $100 on a graphing calculator by using it for free. It can be used by teachers to create stunning images for tests and presentations. But Desmos really shines in the classroom exercises. Teachers can use Desmos to assist students in making the connection between mathematical concepts and actual, concrete shapes and images. It's simple to begin an activity with your students: Just instruct the children to enter the website's activity code. Try the student preview of an activity before assigning it. In the teacher moves section at the bottom of each activity, you can find specific ways to guide your children while they work. The teacher dashboard allows for the tracking of progress.

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I drove to my summer home at 75 mph. The next day I drove back, it took me a hour longer because of traffic, and I drove at 50 mph. How long was the drive on the first day?

Answers

Answer:

2 hours

Step-by-step explanation:

time it took on the first day = x

speed = d/t

time it took on second day = x + 1

75 = d/x

50 = d/x + 1

75x = d

50 = 75x/(x + 1)

50(x + 1) = 75x

50x + 50 = 75x

50 = 25x

x = 50/25

x = 2

Simplify. 5(x+2)-3(x-2)+7x= Please Help!!! Make it legit!

Answers

Answer: 9x + 16

Simplify the expression

Find the value of x.
12x-5,
O
K
43
L
N
M

Answers

Answer:

x = 4

Step-by-step Explanation:

[tex]\triangle LMO \sim \triangle NMO \ \rm{(AA \ Similarity)} \\ \\ \rm \implies 12x - 5 = 43 \\ \\ \rm \implies 12x = 43 + 5 \\ \\ \rm \implies 12x = 48 \\ \\ \rm \implies x = \frac{48}{12} \\ \\ \rm \implies x = 4[/tex]

The length of a rectangle i 12m and the length of it diagonal i 15m.Find
the width of the rectangle.

Answers

Answer:

width = 9 m

Step-by-step explanation:

the diagonal divides the rectangle into 2 right triangles.

using Pythagoras' identity on one of the triangles

with legs 12 and width (w) and hypotenuse (diagonal) 15 , then

w² + 12² = 15²

w² + 144 = 225 ( subtract 144 from both sides )

w² = 81 ( take square root of both sides )

w = [tex]\sqrt{81}[/tex] = 9

that is the width of the rectangle is 9 m

-18t=-3(t+5) distributive property I only have 10 points.

Answers

Answer: t=1

Step-by-step explanation:

1. Distribute the -3

-18t=-3t-15

2. Move the -3t to the other side

-15t=-15

3. Divide by -15 to solve for t

t=1

Put the numbers in order from smallest to largest.
= 3.24 x 10°
= 4.68 z 10
= 5.48 x 10°
6
= 8.34 z 10 2
1.2 z 107
27

Answers

Order for the given exponential numbers will be:

5.48 x [tex]10^{9}[/tex]

3.24 x 10^{9}

1.2 x 10^{7}

8.34 x 10^{-2}

4.68 x 10^{-6}

What are the exponential functions?

A mathematical function called an exponential function is employed frequently in everyday life. It is primarily used to compute investments, model populations, find exponential decay or exponential growth, and so forth. You will discover the formulas, guidelines, characteristics, graphs, derivatives, exponential series, and examples of exponential functions in this article. The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most frequently used exponential function base.

With the highest power in exponential function,

function will be more greater if the numbers multiplied by exponential function are in same order of decimal number.

In given Que,

numbers multiplied are all of 2 decimal number.

So, we can directly compare the values x in e^{x}

i.e. 9 > 7 > -2 > -6

for same value of x: compare value of number multiplied.

Hence, we found out the correct answer.
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A container releases fuel at a rate of 5 gallons per second. If y represents the amount of fuel remaining in the container and represents the number of seconds that have passed since the fuel started
dispensing, then x and y satisfy a linear relationship.
If the tank begins with 103 gallons, how many gallons will remain after 2 seconds?

Answers

If the tank begins with 103 gallons, then 93 gallon will remain after 2 seconds

The quantity of fuel releases from the container = 5 gallon per second

Consider the fuel remaining in the container = y

Consider the number of seconds that have passed since the fuel started dispensing = x

Then x and y satisfy a linear relationship

The quantity of fuel in the tank at the beginning = 103 gallon

Time taken = 2 seconds

Then the equation will be

y = 103 - 5x

Time taken is x = 2

y = 103 - 5× 2

y = 103 - 10

y = 93 gallon

Hence, if the tank begins with 103 gallons, then 93 gallon will remain after 2 seconds

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Find the area of the shape giving

Answers

Answer:

49.7

Step-by-step explanation:

FORMULA : A = (b1 + b2)h/2

base 1 = 4.2

base 2 = 10

4.2 + 10 = 14.2

height = 7

14.2 x 7 = 99.4

99.4/2 = 49.7

2. An auto repair shop charges $50 plus $25 per hour. Using C for cost and h for hours, write an
equation to model the problem. Then, use your equation to find the cost for an 8-hour repair job
at the shop.

Answers

Answer:

Step-by-step explanation:

The equation would be y=25x+ 50 which is linear. Radical expressions have a number under the radical sign which this equation doesn't. Rational expressions have fractions containing polynomials in the numerator and denominator and exponential equations have 'x' as the exponent in a function.

solve for brainliest

Answers

The students' Landry and Erika was the name used and the image is attached

What is linear function ?

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

y = output variable

m = slope

x = input variable

c = y intercept

The two graphs shown the first from the left represents a positive slope while the second is a negative slope

Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph

Considering c (y intercept)

In Cole's equation c = -1 and in Erika's equation c = +4

Erika's equation coincides with the graph with positive slope and Landry matches with second graph.

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Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. the side length of Cube B is twice that of Cube A.

A. is the surface are of Cube B also twice that of Cube A?

B. is the volune of Cube B also twice that of Cube A?​

Answers

The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.

We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.

Then the surface area of Cube B = 6a²

Cube B = 6 x 4² = 96

Surface area of Cube A = 6 x 2² = 24

The volume of the cube A = a³ = 2³ = 8 cm³

The volume of the cube B = a³ = 4³ = 64 cm³

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a grocer purchase 5 dozenegg at rs 12 each.10 eggs are broken and he sold remaining at rs 14 each (i)his total loss or profit find profit or loss percent. ​

Answers

Answer:

Approximately 3% loss

======================

Number of eggs purchased:

5*12 = 60

Cost of eggs:

60*12 = 720

Number of eggs sold:

60 - 10 = 50

Money made:

50*14 = 700

Profit or loss?

Cost (Rs 720) is greater than money made (Rs 700), so this is a loss

Percent loss:

(720 - 700) / 720 × 100% = 20/720 × 100%  =≈ 3%

When the product of 6 and the square of a number is increased by 5 times the number.

Answers

The square of a number is increased by 5 times the number [tex]6x^{2} +5x-4=0[/tex]

What is quadratic equation?
A quadratic equation is a second order equation written as a[tex]x^{2}[/tex] + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Product of 6 and the square of a number is increased by 5 times the number, he result is 4.

Consider x as the number,

The question can be written as:

[tex]6(x^{2} )+5(x)=4[/tex]

[tex]6(x^{2} )+5(x)-4=0[/tex]

Hence, the answer for the given question is [tex]6x^{2} +5x-4=0[/tex].

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Please answer this i need it within 5 minutes

Answers

Answer:

(-2.-3)

Step-by-step explanation:    

(-2.-3)

During a rainstorm, a pail collects 1 3 of an inch of water in 5 6 of a minute. At what rate is the pail collecting water?.

Answers

The rate at which the pail is collecting the water is [tex]\frac{2}{5}[/tex] of an inch per minute.

What is rate in mathematics?

A rate is the ratio of two related quantities expressed in different units. the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable. One unit of one of these quantities is used to represent the ratio's denominator, and if it can be altered consistently, then the ratio can be stated as follows: (i.e., is an independent variable).

The rate can be configured as.

Rate = [tex]\frac{1/3}{5/6}[/tex]

Rate = [tex]\frac{2}{5}[/tex]

Hence, the rate at which the pail is collecting the water is [tex]\frac{2}{5}[/tex] of an inch per minute.

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Compare the scenarios to determine which represents a greater speed. Explain your choice including a written description of each scenario. Be sure to include the rates in your explanation.

Answers

The scenario that represents a greater speed is scenario 1, which is 60 miles per hour.

What is Speed?

Speed can be defined as the time it takes a moving object or body to cover a specific distance. In order words, it is calculated as:

Speed = distance/time.

In scenario 1, using one point on the graph, (1, 60), we can find the unit rate which is the speed in miles per hour:

Speed = y/x = distance/time = 60/1

Speed for scenario 1 = 60 miles per hour.

In scenario 2, we are given the equation, y = 55x:

55 is the unit rate which is the speed.

Speed for scenario 2 = 55 miles per hour.

The greater speed is 60 miles per hour.

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Calculate the volume of the frustums (image attached), I would really appreciate some help!

Answers

Answer: USE the forumla

Step-by-step explanation:

Consider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H + h'. Its volume (V) can be calculated by using: V = πh/3 [ (R3 - r3) / r ] (OR) V = πH/3 (R2 + Rr + r2)

The trim loss percent for rutabagas is 19%. If you purchase rutabaga for $0.79 per pound, how much would 3 pounds 9 ounces cost?

Answers

3 pounds 9 ounces of rutabagas would cost $2.28

How to determine the cost of rutabagas

The question is a percentage problem

The trim loss percent for rutabagas is 19%

= 19 percent

= 19 / 100

= 0.19

trim loss factor = 1 - 0.19 = 0.81

selling price of rutabagas  = $0.79 * 0.81 = 0.6399

converting all the unit in pounds

3 pounds 9 ounces: if 1 pound is 16 ounces then 9 ounces will be

3 pounds 9 ounces: 9/16 ounces = 0.5625

therefore we have 3.5625 pounds of rutabagas

3.5625 pounds of rutabagas will cost

= 3.5625 * 0.6399

= $2.28

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The scale factor of a model of a hot air balloon to the actual hot air balloon is 1 to 5. The volume of the actual balloon is 5000m³.
What is the volume of the model?

Answers

The volume of the model of the air balloon is 1000m³.

What is volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

So, the volume of the model:

The ratio of the volume of, the model: actual balloon = 1:5The volume of an actual air balloon is 5000m³.

So, calculate the volume of the model as follows:

1/x = 5/50005000 = 5x5x = 5000x = 1000m³

Therefore, the volume of the model of the air balloon is 1000m³.

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is it reasonable to use this line of best fit to make the above prediction? select the correct answer below:

Answers

The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable. the correct option is (A).

Given that,

The projected amount of time spent with family for someone who spent 36 minutes playing video games is 81.54 minutes, according to the line of best fit.

To find :

Is it appropriate to make the aforementioned forecast using this line of best fit

According to the  "line of best fit" it is that along which the sum of squares of deviation is minimum. This means the line of best fit minimizes the deviation or we can say error due to which it gives better estimate than other method.so, the predicted number of minutes spent with family is both reliable and reasonable.

Therefore, the estimate, a predicted time of 81.54 minutes, is both reliable and reasonable

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The question was incomplete. Check below the complete question.

is it reasonable to use this line of best fit to make the above prediction? select the correct answer below:

a. 81.54minutes

b. 50.25minutes

c. 23minutes

d. 36minutes

A construction crew is lengthening a road. The road started with a length of 54 mlles, and the crew is adding 4 mlles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 37 days.


Equation:

Total length of the road after 37 days:___miles

Answers

The equation that relating the total length of the road L and the number of days D is L = 54 + 4d, the length of the road after 37 days is 202 miles

The length of the road at starting = 54 miles

The rate of lengthening the road per day = 4 miles per day

Where L is the total length of the road in miles

D is the number of days the crew has worked

Then the equation will be

L = 54 + 4D

The number of days = 37 days

Substitute the value of D

L = 54 + 4×37

L = 54 + 148

L = 202 miles

Hence, the equation that relating the total length of the road L and the number of days D is L = 54 + 4d, the length of the road after 37 days is 202 miles

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ASAP! exponent rules.

Answers

Answer: 5^13

Step-by-step explanation:

1. The Exponent out of the parenthesis would be multiplied by the exponent in the parenthesis

(5^2)^4*5^5

5^8*5^5

2. Since the exponents have the same base, when they are multiplied you will keep the same base, and the exponents will add up

5^8*5^5=5^13

K
Assume x and y are functions of t. Evaluate
dy
(Type an exact answer in simplified form.)
dy
for 4xy-4x+4y³ = -36, with the conditions dx
dt
dt
=-16, x= 4, y = -1.

Answers

For the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.

As given in the question,

Given function is equal to :

4xy-4x+4y³ = -36

Let us consider x and y are function of t.

Now , evaluate the derivative of function with respect to t we get,

4x(dy/dt) + 4y(dx/dt) -4(dx/dt) + 12y²(dy/dt) = 0

⇒( 4x + 12y² ) (dy/dt) + ( 4y -4 ) (dx/dt) = 0

Substitute the value of dx/dt = -16, x = 4 , y = -1 we get,

[ 4(4) + 12(-1)² ](dy/dt) + [ 4(-1) - 4 ] (-16) =0

⇒(16 +12) (dy/dt) + (-8)(-16) = 0

⇒ dy/dt = - ( 8× 16)/ 28

⇒ dy/dt = -32/7

Therefore, for the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.

The complete question is:

Assume x and y are functions of t. Evaluate dy/dt , for 4xy-4x+4y³ = -36, with the conditions dx/dt = -16 , x = 4 , y = -1.

(Type an exact answer in simplified form.)

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for a standard normal distribution, 95% of the datapoints are contained in the interval [ -x , x ]. what is the value of x?

Answers

Standard deviation - The value of x is 1.96.

What is standard normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As given, for a standard normal distribution, 95% of the data points are contained in the interval [ -x , x ].

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. By transforming its values into z-scores, any normal distribution can be standardised. Z-scores indicate how far away from the mean each number is from.

Hence, from the standard normal table, the value of x = 1.96 for 95% confidence level.

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Select the correct answer from each drop-down menu.
For the diagram shown, complete a true statement.
A
B
G
DE is the ray with endpoint
D
E
GA and DF
intersect.

Answers

The DE is the ray with end point E and the ray GA and ray DF will not intersect

From the given diagram

Consider the ray DE,

The starting point of the ray DE = D

Then the end point of the ray DE = E

The D is the starting point and E is the end point of the ray DE

Therefore DE is the ray with end point E

Consider the ray GA and DF, those rays are not in contact and going opposite direction, therefore it will not intersect

The GA and DF will not intersect

Hence, the DE is the ray with end point E and the ray GA and ray DF will not intersect

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For the equation
y-3 = 2(x + 4),
which of the following is true?

Answers

The 4th option

I just took the test got it right
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