A jar contains x quarters and y nickels. The jar contains $5.45. What linear equation represents the relationship between the number of quarters, the number of nickels, and the value of the coins in the jar?

Answers

Answer 1

Answer:

$0.25x + $0.05y = $5.45

Step-by-step explanation:

Recall that 1 nickel = $0.05

and 1 quarter = $0.25

Given that the jar contains x quarters and y nickels

The total amount of nickel in the jar

= $0.05y

The total amount of quarter in the jar

= $0.25x

Hence the total amount in the jar considering both nickels and quarters

= $0.25x + $0.05y

Since the jar contains $5.45

then

$0.25x + $0.05y = $5.45

This is the linear equation that represents the relationship between the number of quarters, the number of nickels, and the value of the coins in the jar


Related Questions

The time in Wellington is 11 hours ahead of the time in London. What time is it in Wellington when it is 6 15 am in London?

Answers

Answer:

5:15 pm

Step-by-step explanation:

Hope this helps!

Write the ratios for sin x, cos x and tan x

Answers

Answer:

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = [tex]\sqrt{119\\}[/tex]

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

A salesperson had $240, 000 in sales last year, which is 60% of the sales she had this year. Which equation could be used to determine x, the salesperson's total amount of sales, in dollars, for this year?

Answers

Answer: $400,000

Step-by-step explanation:

Let the salesperson's total amount of sales, in dollars, for this year be represented by x.

Therefore, 60% of x = $240,000

60/100 × x = $240,000.

0.6 × x = $240,000..

x = $240000 / 0.6

x = $400,000

Therefore, the salesperson's total amount of sales, for this year is $400,000.

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?

Answers

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

1. (08.01, 8.02 MC) An expression is shown below: 2x3y2 + 18xy2 − 20x2y − 180y Part A: Rewrite the expression so that the GCF is factored completely. (4 points) Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points) (10 points)

Answers

Answer:

A. 2y

B. (xy − 10)(2x²y + 18y)

Step-by-step explanation:

Part A: Rewrite the expression so that the GCF is factored completely.

2x³y² + 18xy² − 20x²y − 180y

Factoring y out, we have

(2x³y + 18xy − 20x² − 180)y

Factoring 2 out, we have

(x³y + 9xy − 10x² − 90)2y

So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y

Part B: Rewrite the expression completely factored.

2x³y² + 18xy² − 20x²y − 180y

Rearranging, we have

2x³y² − 20x²y + 18xy²  − 180y

Separating them into brackets, we have

(2x³y² − 20x²y) + (18xy²  − 180y)

Factorizing the expressions in bracket, we have

(xy − 10)2x²y + (xy  − 10)18y

collecting like terms, we have

(xy − 10)(2x²y + 18y)

In the class election for president, Savannah won by a ratio of 4:1. If Savannah's opponent had 56 votes, how many students voted in total?

Answers

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Which graph represents the linear function y=1/5x-2​

Answers

Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

what is x? plz help :)

Answers

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

PLEASE SOMEONE HELP ME ON THIS ONE!!

Answers

Answer:

266.24 Ounces

Step-by-step explanation:

By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:

y = -3.84(x) + 320

By using this equation we will then add the 14 days as x to get

y = -3.84(14) + 320

y = -53.76 + 320

y = 266.24

rearrange the equation so X is the independent variable.
[tex] - 4x - 6 = 5y + 9[/tex]

Answers

Answer:

[tex]x=-1.25y-3.75[/tex]

Step-by-step explanation:

try adding 6 to both sides

-4x=5y+15

try dividing both sides by -4

x=-1.25y-3.75

plz help highly appreciated

Answers

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4

who wanna watch anime​

Answers

Answer:

sure.

Step-by-step explanation:

dm on discord. xcyz#6022

anime is the way leave the earth for your waifu

what is 20 divided by 10 but to the power or 2​

Answers

4 is the answer for your question
0.2 or 1/5 if the power of 2 is on the 10

40 if the power of 2 is on the 20

please mark brainliest

HELP PLSSSSSS MATH :(

Answers

Answer:

1. (2,3)

2. (7,-2)

3. (-4,-1)

4. No solutions

Step-by-step explanation:

Solve using substitution or elimination.

Which of the following situations are equal to 25%? 12 out of 60 3 out of 12 5 out of 20 9 out of 18 8 out of 32

Answers

Answer:

8/32;

Step-by-step explanation:

8/32 is equivalent to 1/4 which percentage is 25

Someone help me please help me!!!

Answers

Here you go: the answers
7. C
8. A

The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?​

Answers

Answer:

No

Step-by-step explanation:

Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.

hope this helps!!!

A small business is looking for rectangular warehouses to store extra merchandise. Warehouse A has an area of 6900 ft2. Warehouse B is half as wide and one-third as long. How many square feet is Warehouse B?

Answers

Answer:

The area of the warehouse B is 1150 square feet.

Step-by-step explanation:

Let [tex]x[/tex], [tex]y[/tex] are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:

[tex]A_{A} = x\cdot y[/tex] (1)

[tex]A_{B} = \left(\frac{1}{2}\cdot x \right)\cdot \left(\frac{1}{3}\cdot y \right)[/tex] (2)

Where:

[tex]A_{A}[/tex] - Area of the warehouse A, in square inches.

[tex]A_{B}[/tex] - Area of the warehouse B, in square inches.

If we know that [tex]A_{A} = 6900\,ft^{2}[/tex], then by (1) and (2) we have the following equation:

[tex]A_{B} = \frac{1}{6}\cdot A_{A}[/tex]

[tex]A_{B} = 1150\,ft^{2}[/tex]

The area of the warehouse B is 1150 square feet.

Which graph represents the solution set of - 4x - y <- 6?

Answers

Answer: it’s D

Step-by-step explanation:

The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.

What is Linear Inequality?

Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

In the given question, we have given the graph of the inequality  4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.

So, the Inequality is:

- 4x - y <- 6.

So, we can substitute the value of x and y;

So, substitute x = 1;
So, The y value will be less than 2;

That is:

y < 2;

Again let's put the value of x = -1;

we get the value of y  as less than 10.

y<10;

So, by substituting the values as mentioned we can see that the value of y is decreasing.

So, by plotting the values in the graph, we can get the correct graph.

Hence, The correct answer is option d.

To learn more about Linear Inequality, visit:

https://brainly.com/question/24372553

#SPJ13

m(x)=-5/3x+4
Find m(3)

Answers

Answer:

-1

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses:

m(x) = (-5/3)x + 4

To find m(3), replace x in the above equation with 3:

m(3) = (-5/3)(3) + 4  =  -5 + 4 = -1

The 7th term of the geometric sequence 13, 26, 52, 104, ... is

Answers

Answer:

832

Step-by-step explanation:

multiply the original number by 2, seven times.

¿Cuál es el valor absoluto de 9?

Answers

Por lo que, el valor absoluto de -9 es 9. El valor absoluto de 9 es el número de unidades que está 9 del cero. Nueve está a nueve unidades de cero.

Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?

Answers

Step-by-step explanation:

48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.

Divide 48 by 300 to get what she would pick in one second.

This equals 0.16

Multiply 0.16 by 120 seconds [how many seconds are in two minutes].

This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.

A produção mensal de uma Olaria é de 5.000 tijolos nesse mês alvará produziu 3925 tijolos quantos tijolos ainda falta para completar a produção mensal

Answers

Responda:

1075 tijolos

Explicação passo a passo:

Dado que:

Número de tijolos produzidos Mensalmente = 5.000 tijolos

A quantidade de tijolos produzidos por licença = 3925

O número de tijolos que ainda faltam no valor mensal desejado:

Quantidade de produção mensal - quantidade produzida por licença

5000 - 3925 = 1075 tijolos

Evan bought a rectangular doormat that is 1_2 meter long and 3__10 meter wide. What is the area, in square meters, of the doormat?

Answers

Answer:

3/20 m²

Step-by-step explanation:

Here is the complete and clear question :

Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?

Characteristics of a rectangle

A rectangle is a quadrilateral It has two parallel sidesthe diagonals of a rectangle bisect each other and they are equal in length

Area of a rectangle = length x breadth

Area of the rectangular doormat = [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{3}{20}[/tex] m²

An amusement park recently increased the cost of a family season pass. The original price was $150. The new price is $183. What was the percent of increase or markup?

Answers

Answer:

1.22%

Step-by-step explanation:

150 x 1.22 = 183

I need help with this question pls anybody?​

Answers

Answer:

The second one, the third one.

Step-by-step explanation:

I NEED HELP !!!! PLEASEEEEEEEEEEEE

Answers

vertex form: y = (x + 1)^2 - 25
vertex: (-1, -25)

Help!!!!!!!!
I will mark you brainliest for the correct answer
Please help!!!!!!
This is a big test!!!!

Answers

Answer:

30 degrees

Step-by-step explanation:

its obtuse which is 90 degrees angle

Answer:

50

Step-by-step explanation:

all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.

11. x2 + x + 9 = 20
Solve equation using the quadratic formula write in irrational solutions in simplest radical form

Answers

problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number

problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3

problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2

Other Questions
During 2020, Sam and Libby, a married couple, decided to sell their residence, which had a basis of $200,000. They had owned and occupied the residence for 20 years. To make it more attractive to prospective buyers, they had the inside painted in April at a cost of $5,000 and paid for the work immediately. They sold the house in May for $800,000. Broker's commissions and other selling expenses amounted to $50,000. The couple purchased a new residence in July for $400,000. What is the recognized gain and the adjusted basis of the new residence Use the map below, which shows the percentage of the population that is over 65 years old in European nations, to answer the following question:Use the map below, which shows the percentage of the population that is over 65 years old in European nations, to answer the following question:A 2010 map of the European countries showing the percentage of the population that is over 65 years old in each country, by the following ranges: less than 12 percent Turkey, Cyprus, Albania, Moldova, and Macedonia, 12 to 14 percent Russia, Poland, Slovakia, Iceland, Ireland, Bulgaria, and Montenegro, 14 to 16 percent Norway, Netherlands, Czech Republic, Hungary, Ukraine, Belarus, Romania, Serbia, and Bosnia and Herzegovina, 16 to 18 percent Portugal, United Kingdom, France, Belgium , Luxemburg, Switzerland, Slovenia, Croatia, Finland, Estonia, Latvia, Lithuania, 18 to 20 percent Spain, Austria, Sweden, and Denmark, greater than 20 percent Germany, Italy, and Greece.According to the map, which statement is correct? (5 points)a The population of southern Europe is growing faster than that of northern Europe.b The average age of the population in Western Europe is higher than in Eastern Europe.c Nations that are historically younger also tend to have younger populations.d Immigration has lowered the age of the populations of some European nations. Dan Perkins was a policeman who was able to run a short distance in a very short time in order to escape the danger of a fire. What molecule allowed him to have a burst of instant energy to make that sprint? David Is saving money to buy a game. The game costs $15, and so far he has saved one-third of this cost. How much money has David saved? Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?The side lengths of 8 cm, 5 cm and 13 cm _______ form a triangle.Drop down options:cannotcan Analyze What are the consequences of Rachel's being unable to speak up to Mrs. Price? Explain why Rachel has such a negative reaction to wearing the sweater identify the types of motion in each activity.1.walking a long a hallway. 2.motion of the blades of the fan. 3.earths rotation 4.ball moving on the ground. 5.soldiers marching. help please!! im so confused and this is a mid-term for a major grade!! The function y=(-1/2)x - 6 was the result of shifting the graph S units down. Find the following.a.vertexb.axis of symmetryc.roots According to Kurt Lewin, an approach-approach conflict occurs when a person has to overcome inertia in order to make a decision to act overcome inertia in order to make a decision to act A. choose an outcome that has both positive and negative aspects choose an outcome that has both positive and negative aspects B. decide whether to offer help when there are other people around who they feel are better suited to help decide whether to offer help when there are other people around who they feel are better suited to help C. change interaction styles depending on the audience change interaction styles depending on the audience D. choose between two outcomes that are both desirable A rectangular table is 64 inches long and 35 inches wide. What is the perimeter of this table Name the particle that has each type of charge?Positive (+) _________________________________________________Negative (-) _________________________________________________No Charge (0) _________________________________________________ A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its average speed? Please help due at 7AM!! [tex]-2\sqrt{18} +2\sqrt{2}[/tex] Article III of the U.S. Constitution established the judicial branch of government true or false Which function does NOT have a horizontal asymptote?A. g(x)=(x-6)/(x^2+2)B. g(x)=(x^2)/(-3x^2+1)C. g(x)=(x-9)/(x+3)D. g(x)=(x^3-2)/(6x^2-5) Why is the city of Hoboken, NJ (20 minutes from Newark) and other coastal cities in the United suing ExxonMobile? Given segment AC and point B lies on AC Find CB if AC = 51, AB = 6-5x, and CB = 49 + 6x T siempre me _______________________ (escribir) mensajes de texto.