Kevin and randy Muise have a jar containing 41 coins all of which are either quarters or nickels . The total value of coins in the jar is 7.45 how many of each type of coin do they have

Answers

Answer 1
Final answer:

To find the number of quarters and nickels, we can set up a system of equations using the total number of coins and the total value of the coins. Solving this system of equations, we find that Kevin and Randy have 27 quarters and 14 nickels.

Explanation:

To solve this problem, we can set up a system of equations. Let's use the variables q (number of quarters) and n (number of nickels). We know that there are a total of 41 coins, so we can write the equation q + n = 41. We also know that the total value of the coins is $7.45, so we can write the equation 0.25q + 0.05n = 7.45.

Now we can solve this system of equations using substitution:

Isolate one variable in one of the equations. Let's isolate q in the first equation: q = 41 - n.Substitute this expression for q in the second equation: 0.25(41 - n) + 0.05n = 7.45.Simplify and solve for n: 10.25 - 0.25n + 0.05n = 7.45. Simplifying further, we get 0.20n = 2.80. Dividing by 0.20, we find that n = 14.Substitute this value of n back into the first equation to find q: q = 41 - 14 = 27.

Therefore, Kevin and Randy have 27 quarters and 14 nickels in their jar.


Related Questions

The earth's radius is 6.37×106m; it rotates once every 24 hours. you may want to review ( pages 195 - 198) . part a what is the earth's angular speed

Answers

see attached formula and Answer:

The angular speed of Earth is [tex]\fbox{\begin\\\ \bf 7.268\times 10^{-5}\ \text{radian per second}\\\end{minispace}}[/tex].

Further explanation:

It is given that the radius of Earth is [tex]6.37\times10^{6}\ \text{meters}[/tex] and it rotates once in every  [tex]24[/tex] hours.

The angular speed of earth is nearly constant and Earth takes one day to complete one rotation that means the time interval for earth to complete one revolution is [tex]1\ \text{day}[/tex].

The total angular displacement covered by the earth to complete one revolution is [tex]2\pi\text{radian}[/tex].

One day is equivalent to [tex]24\ \text{hours}[/tex], [tex]1\ \text{hour}[/tex] is equivalent to [tex]60\ \text{minutes}[/tex] and [tex]1\ \text{minute}[/tex] is equivalent to [tex]60\ \text{seconds}[/tex].

The total number of seconds in [tex]1\ \text{day}[/tex] is calculated as follows:

[tex]\fbox{\begin\\\ \begin{aligned}1\ \text{day}&=24\ \text{hours}\\&=24\times60\ \text{minutes}\\&=1440\ \text{minutes}\\&=1440\times60\ \text{seconds}\\&=86400\ \text{seconds}\end{aligned}\\\end{minispace}}[/tex]    

Therefore the time taken to complete one revolution is [tex]86400\ \text{seconds}[/tex].

The angular velocity is defined as the rate of change of angular displacement. So the formula for angular velocity is, as follows:

[tex]\fbox{\begin\\\ \omega=\dfrac{\theta}{t}\\\end{minispace}}[/tex]

In the above equation [tex]\omega[/tex] represents angular velocity, [tex]\theta[/tex] represents angular displacement and [tex]t[/tex] represents time.

To obtain the value of angular velocity of Earth substitute [tex]2\pi[/tex] for [tex]\theta[/tex] and [tex]86400[/tex]  for [tex]t[/tex] in the above equation.

[tex]\begin{aligned}\omega&=\dfrac{2\pi}{86400}\\&=\dfrac{2\times3.14}{86400}\\&=\dfrac{6.28}{86400}\\&=7.268\times10^{-5}\end{aligned}[/tex]

Therefore, the value of [tex]\omega[/tex] is [tex]7.268\times10^{-5}[/tex].

Thus, the angular speed of the Earth is [tex]\fbox{\begin\\\ \bf 7.268\times 10^{-5}\ \text{radian per second}\\\end{minispace}}[/tex].

Learn more:

Problem on the magnitude of acceleration: https://brainly.com/question/1597065Problem on simplification: https://brainly.com/question/1602237Problem on general form of given circle: https://brainly.com/question/1506955

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Angular motion

Keyword: Angular velocity, angular displacement, time, one revolution, radian/second, Earth, 86400 seconds, 2pi, speed, minutes, omega, theta.

A store and a bank would both charge fees for _____.

failure to maintain a minimum balance

paying a bill online

conducting transactions with a teller

bouncing a check

Answers

Answer:

bouncing a check

Step-by-step explanation:

Bouncing a check occurs when you write a check for more money than you have in your account.

A bank charges a fee any time you bounce a check.  

The store that you write a bounced check to will also charge you a fee.

A bicyclist was going from point A to point B with a speed of 12 km/h. On the way back he increased his speed to 18 km/h and covered the distance in 15 minutes less. What is the distance between point A and point B?

Answers

We don't know if he made it to point B.  More information required.

Answer:

points

Step-by-step explanation:

Explain why it works to break apart a number by place values to multiply

Answers

idononoooont know boi
Because you are still multiplying the same vaules of the number you are multiplying in it's standard form

Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second is 4.84.8 times ×10 Superscript 5105 gallons. How much water flows over the falls in an​ hour? Write the result in scientific notation.​ (Hint: 1 hour equals 3600​ seconds)

Answers

Given that the average volume of water that flows over the falls each second is [tex]4.8 \times 10^5[/tex] gallons.

There are 3,600 seconds in one hour.

Thus, in one hour, [tex]4.8 \times 10^5\times3600=17280\times10^5=1.728\times10^9[/tex] gallons of water flows over the falls.

Therefore, the amount of water that flows over the falls is [tex]1.728\times10^9[/tex].

Which number is irrational?

A.-4
B.2/9
C.sqrt of 11
D.8.26... (repeating 6 only)

Answers

 irrational

answer

C.sqrt of 11

Answer:

C. sqrt of 11

Step-by-step explanation:

The area of a rectangle is 55 yd^2 , and the length of the rectangle is 4 yd less than three times the width. Find the dimensions of the rectangle.

Please help ASAP!

Answers

Final answer:

To determine the dimensions of the rectangle, set up a quadratic equation using the given area and the relationship between the length and width, then solve for the width and consequently the length.

Explanation:

To find the dimensions of the rectangle with an area of 55 yd2 and a length that is 4 yards less than three times the width, we need to set up and solve a quadratic equation. Let the width be x yards. According to the problem, the length is 3x - 4 yards. The area of a rectangle is calculated by multiplying the length by the width, so we have the equation:

x(3x - 4) = 55

Distribute x across the expression:

3x2 - 4x = 55

To solve for x, we need to move all terms to one side of the equation to set it equal to zero:

3x2 - 4x - 55 = 0

This is a quadratic equation that we can solve by factoring, completing the square, or using the quadratic formula. It appears that this equation is not easily factorable; thus, the quadratic formula might be the best approach:

x = ∛{-b ± √{b2 - 4ac}}/2a

In this equation, a = 3, b = -4, and c = -55:

x = ∛{4 ± √{(-4)2 - 4(3)(-55)}}/(2·3)

Simplifying under the square root and solving for x, we get the width of the rectangle, and subsequently, we get the length by substituting x back into 3x - 4.

Write the phrase “all real numbers that are greater than −4 and less than or equal to 7” as a compound inequality.

Answers

The answer is going to be -4 < x 7 but instead of the other sign put a line under it so it could be less than or equal to

Answer:

-4< X ≥ 7

Step-by-step explanation:

The sign of < indicates greater than, so that would express numbers greater than -4 and the sign ≥means smaller or less valuable or equal to, so with that you represent equal or less than 7, with that expression you can represent all the real numbers that are greater than -4 and less or equal to 7.

Sue had 2 dozen eggs. She used 3/4 in her baking. How many eggs did Sue use?

Answers

2 dozen = 12*2=24 eggs
She used 3/4 * 24=18eggs

I need the answer for this problem help

Answers

Pretty sure its 26. Just calculate the perimeter then divide by 6.
'Fencing' is something to do with the perimeter of a shape as the post would go around the border of the shape.

The perimeter of the rectangular field is given by:
42 + 42 + 36 + 36 = 156 feet

The post is to be arranged with 6 feet gap in between each post, so the number of posts needed would be 156 ÷ 6 = 26 posts

The equation of a parabola is y=x2–10x+25. Write the equation in vertex form.

Answers

Answer:

y=(x–5)^2

Step-by-step explanation:

Sometimes integers are encoded by using four-digit binary expansions to represent each decimal digit. this produces the binary coded decimal form of the integer. for instance, 791 is encoded in this way by 011110010001. how many bits are required to represent a number with n decimal digits using this type of encoding

Answers

You're wasting a whole lot of possible 'space' in that encoding solution, but the answer is 4n. 

How do you do mental math on 9 x 898

Answers

Well the real answer is 8082 if i did this in my head i would take the 9 and multiply it by each number and there's your answer

the answer is 8082 
i'm good at mental math. 
That's the answer tho

WHAT IS 7.75 TIMES −1 2/3 PLZZ HELP ME I'LL GIVE U 15 PIONTS

Answers

7.75 x - 1 2/3 would be  - 12 11/12.
Hope this helps you!
-12 and 11/12 is the answer
hope it helped!

Please give the answer and how to work it out!

Answers

check the picture below.

the highest temperature in Denver is -23.7 on February 7. the highest temperature the next day was 5 warmer. what was the next day high temoerature

Answers

The next day high temperature will be -18.7

The temperature will be considered as 'warmer' as the temperature increased and will be considered as 'colder' if the temperature decreased.
So, if the temperature for the next day is 5 degrees warmer, then it must be:

-23.7 + 5 = -18.7 Degree

what is bed? because I need help I don't know what the answer is

Answers

62 +62 = 124

360 - 124 = 176

176/2 = 88

BED = 88 degrees

A die is rolled 360 times. find the standard deviation of the number of times a 3 will be rolled.

Answers

The standard deviation for the number of times a 3 will be rolled in 360 dice rolls is approximately 17.32, calculated using the binomial distribution's standard deviation formula.

The question asks for the standard deviation of the number of times a 3 will be rolled when a die is rolled 360 times. Since each face of a six-sided die has an equal probability of landing upright, the chance of rolling a 3 is 1/6. To calculate the standard deviation, we first find the expected value (mean) of the number of times a 3 will come up, which is 360 rolls multiplied by the probability of 1/6, resulting in an expected value of 60. Then we use the binomial distribution formula, where the standard deviation (σ) is given by the square root of the product of the number of trials (n), the probability of success (p), and the probability of failure (q), which is σ = √(npq). In this case, it is σ = √(360*(1/6)*(5/6)) which simplifies to σ = √(300) or approximately 17.32.


Which table best represents the steps to solve the equation 8 + x over 3 = 4?
i accidentaly highlighted the first one but i really need help on this and need the answer thank you! so much!

Answers

B would be you answer hop I helped

Students collected data about the capacities of their lungs by inflating balloons with a single breath. they measured the circumference of the balloons in centimeters. each student completed three trials and calculated the average. balloon circumference (cm) student trial 1 trial 2 trial 3 average 1 66.0 66.5 68.5 67.0 2 67.5 64.0 70.5 67.3 3 60.3 60.5 60.5 61.0 4 55.0 58.0 59.0 57.3 which student miscalculated her average? 1. student 1 2. student 2 3. student 3 4. student 4

Answers

Look at the given data & calculate the average of each students data,

1) 66, 66.5, 68.5, 67
Average = [tex] \frac{66+66.5+68.5}{3} [/tex] = 67 CORRECT

2) 67.5 64.0 70.5 67.3
Average = [tex] \frac{67.5+64+70.5}{3} [/tex] = 67.3 CORRECT

3) 60.3 60.5 60.5 61.0
Average = [tex] \frac{60.3+60.5+60.5}{3} [/tex] = 60.43 INCORRECT

4) 55.0 58.0 59.0 57.3
Average = [tex] \frac{55+58+59}{3} [/tex] = 57.3 CORRECT



Therefore, 3. Student 3 is the correct answer.

The given data is the following:

Student Trial 1  Trial 2 Trial 3 Average
-----------  --------  --------  --------  ------------
    1           66.0    66.5   68.5     67.0
    2          67.5     64.0   70.5     67.3
    3          60.3     60.5   60.5    61.0
    4          55.0     58.0   59.0    57.3

Let us check the reported averages.
Student 1:
Average = (66.0 + 66.5 + 68.5)/3 = 67.0   Correct
Student 2:
Average = (67.5 + 64.0 + 70.5)/3 = 67.3    Correct
Student 3:
Average = (60.3 + 60.5 + 60.5)/3 = 604    Incorrect
Student 4:
Average = (55.0 + 58.0 + 59.0)/3 = 57.3    Correct

Answer: Student 3


Given the following set of data, which measures have a value of 6? (Check all that apply.)

3, 4, 6, 8, 9


A.range
B.mode
C.median
D.mean

Answers

range, median, and mean all apply

what is (4+49)-4x10=

Answers

The answer is 13 hope that helped you :)

What are the names of the three eras identified on the x-axis in model 1 answers?

Answers

The names of the three eras identified on the x-axis in model 1 answers are Paleozoic, Mesozoic and Cenozoic. It can be seen from the graph that a mass extinction happened 444 million years ago in Paleozoic era, another happened 254 million years ago at end of Paleozoic era and marked the beginning of Mesozoic era. The final mass extinction happened 65 million years ago at end of Mesozoic era in which dinosaurs went extinct.

Student is told that A union B is the set of all elements that beling to A or B. However when askef to find the union of A{a,b,c,d}, and B{c,d,e,f,g,h} the student say that the answer is {a,b,e,f g,h}. How is the word or in the definition of set of union being misunderstood

Answers

He interprets the word 'or'  to mean that if both sets contain a common element they are not included in the union. That is why he has not included c and d  

Sketch a triangle that has acute angle θ. cot(θ) = 2

Answers

check the picture below.
Final answer:

To sketch a triangle with an acute angle θ and cot(θ) = 2, we can choose an angle in the first quadrant, such as 30 degrees, and draw a right triangle with sides 2 and 1. The hypotenuse can be found using the Pythagorean theorem.

Explanation:

To sketch a triangle with an acute angle θ and cot(θ) = 2, we can use the fact that cotangent is the reciprocal of the tangent function, so tan(θ) = 1/2. Since tangents are positive in the first and third quadrants, we can consider an angle in the first quadrant. Let's choose the angle as 30 degrees.

Now, we can draw a right triangle with one of the acute angles as 30 degrees. Since tan(θ) = opposite/adjacent, we can choose the side opposite the angle as 1 and the side adjacent as 2. Therefore, the triangle has sides 2, 1, and the hypotenuse can be found using the Pythagorean theorem.

The triangle has an acute angle θ and cot(θ) = 2. It has sides of length 2, and 1, and the hypotenuse can be found using the Pythagorean theorem.

Write an equation in slope intercept form for a line that goes through the points (-4,0) and (1,-5).

Answers

y=-1x-5 hope that helps!

What is the Estimate 169+354

Answers

169 + 354 = 523

so the estimate its 520

I hope have helped :)

identify the graph of the line 3x-7y=-21

Answers

y = (3x-21)/7
the picture is the graph

In a crayon box there are 5 dark colors for every 8 light colors if there are 20 dark colors how many light colors are there?

Answers

32 Light Colors. Since there are 5 dark for every 8 light, you can expand that ratio over the 20 dark that are present. 5:8 is the same as 20:32. Therefore, there are 32 light colors in the box.

a digit in the hundredths place has ten times the value of the same digit in the thousands place

Answers

that is true very good




Final answer:

The difference in value is due to the decimal place values. A digit in the hundredths place indeed has ten times the value of the same digit in the thousands place. This happens due to the way decimal place values work.

Explanation:

The digit in the hundredths place and the digit in the thousands place refer to decimal place values. When we mention that a digit in the hundredths place has ten times the value of the same digit in the thousands place, it's because of the way decimal place values function. For example, if we take a number 0.1203, the digit 2 is in the hundredths place. Now suppose you have another number, 0.003, where 3 is in the thousands place. Even if the digit remains same i.e., 2 or 3, their value will continue to change based on their place. Hence, one should know the value of the same digit can change depending on its position in the number.

Learn more about Decimal Place Values here:

https://brainly.com/question/36803819

#SPJ2

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