Charles checks his pocket for change. He notices that he has 20 coins in dimes and quarters for a total of
$3.20.
Part A
Formulate a system of equations to represent this situation.
Part B
Solve the system of equations to determine the number of dimes and the number of quarters Charles has
in his pocket.

Table B and C

In Table B, the X coordinate of -3 has two different answers which is impossible in a function because it only has one output or one answer which is y.

In Table C, the X coordinate of 0 also has two different outputs or two different answers, and with a function, there is only one y coordinate for each X coordinate.

Therefore , the solution of the given problem of combination comes out to be 6,500,000.

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the direction of the selection is irrelevant. You can choose any combination of the components in any order. Combinations and permutations can be confused.

Here,

Berry, we'd like to estimate the amount of potential student IDs.

among the available figures are;

Ten numbers: 0 1 2 3 4 5 6 7 8

26 alphabets, as well

There are 10 options for the first digit.

Ten alternatives for the second digits

Three digits, 10 options

10 options for the fourth digit

26 options for the first alphabet

Second Alphabet: There are 25 options available if we choose all the other alphabets outside the one we first chose.

the number of potential student IDs will therefore be;

=>10 * 10 * 10 * 10 * 25 * 26 = 6,500,000

Therefore , the solution of the given problem of combination comes out to be 6,500,000.

To know more about combination , visit

https://brainly.com/question/20211959

#SPJ1

The ratio of a circle can be found through the formula A = πr2, where A is the area of the circle and r is the radius of the circle.

To find the ratio of a circle, you must first calculate the area of the circle. To calculate the area, multiply the value of π (3.14159) by the square of the radius (r2). For example, if the radius of the circle is 4, the area of the circle would be 3.14159 x 42, which is equal to 50.2653. The ratio of a given circle can then be found by dividing the area of the circle (50.2653) by the square of the radius (42), which gives 1.273.

Learn more about ratio of a circle here:

https://brainly.com/question/29253211

#SPJ4

The problem states that a can of tomato sauce contains 8 oz of sauce and a case contains 12 cans. We are trying to find out how many cases of tomato sauce Chef Hugo orders and we know that he gets a total of 480 oz of sauce.

What in mathematics is a linear equation?

According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We can use the formula 12(8)x = 480 to find out the number of cases of tomato sauce that Chef Hugo orders.

Here's the calculation:

12(8)x = 480

96x = 480

x = 5

Therefore, Chef Hugo orders 5 cases of tomato sauce.

Learn more about linear equation

https://brainly.com/question/2030026

#SPJ1

The correct option for the area of the circle is B. 3,419.46 cm².

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².

Area of circle = πr²

π = 3.14

radius = diameter/2

radius of the circle = 66 cm/2

radius of the circle = 33 cm

Area of the circle = 3.14 × (33 cm)²

Area of the circle = 3.14 × 1089 cm²

Area of the circle = 3419.46 cm²

Therefore, the area of the circle measured by Jon and Becky is equal to 3,419.46 cm².

Know more about area here:https://brainly.com/question/76387

#SPJ1

By dividing the width and height by the dpi, one may get the pixel size. Additionally, a digital camera will have pixel dimensions, which are the sum of its resolution's horizontal and vertical pixel counts (e.g., 2,048 by 3,072), this is the formula to calculate pixel.

The smallest component of a visual display or digital image is a pixel, also known as a picture element. A grid of pixels is used to create computer screens. Red, blue, and green illumination components make up each pixel, which may produce millions of distinct colors by combining them in various ways and at various intensities.

For instance, a computer with a display resolution of 1280 x 768 will create up to 98,3040 pixels on a display screen. The number of pixels per inch of the monitor screen affects image quality; more pixels per inch produce better images.

To know more about pixel refer to:

brainly.com/question/9017156

#SPJ4

On solving the provided question, we can say that - There exist 333 integers smaller than 1000 that are evenly divisibility test by 3 if you divide 1000 by 3, which results in 333 with a residual of 1.

The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.

here,

1000/3

remainder = 1

divisor = 333

To know more about divisibility test visit:

brainly.com/question/240581

#SPJ1

On solving the provided question, we can say that in the rectangle L = 6 units and B = 2 units, Perimeter, P = 2(L+B) => P = 2(6+2) => P = 16 units

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

in the rectangle

L = 6 units

B = 2 units

Perimeter, P = 2(L+B)

P = 2(6+2)

P = 16 units

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ1

Answer:

y=8x+5

Step-by-step explanation:

y=mx+b is slope intercept form

m stands for Slope = 8

b is y intercept = +5

plug it in and you get y=8x+5

The fraction that can be equally distribute the equation is 1/9.

The term fraction is defined as the representation of the part of whole thing and it has two parts that is namely numerator and denominator.

Here we have given that is 1/3 gallon of water in a 3 gallon container.

Here we have the amount of water is 1/3 gallon and the container capacity is 3.

Now, we have to equally distribute it across the given contained for that one we have to divide it by the total amount of the container then we get,

=> (1/3)/3

When we rewrite the fraction, the we get the expression as,

=> 1/3 x 1/3

When we multiply this one, then we get,

=> 1/9

To know more about fraction here.

https://brainly.com/question/10354322

#SPJ4

Answer:

its c

Step-by-step explanation:

2 x 12= 24, 3 x 8=24 and 4 x 6=24

It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.

To check this we firstly add the 2 and 3

2 + 3 > 4

5 > 4

Now we add 2 and 4

2 + 4 > 3

6 > 3

Now we add 3 and 4

4 + 3 > 2

7 > 2

It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.

To learn more about construct a triangle link is here

brainly.com/question/29548651

#SPJ4

The table is completed using the function f(x) = 3ˣ and g(x) = 3x as shown below

x    f(x)    g(x)

0     1       0

1      3      3

2     9      6

f(x) has a greater rate of change between 1 and 2

f(x) has a greater rate of change between 0 and 2

The table is completed by substituting the values of x into the functions of f(x) and g(x)

The rate of change between 1 and 2

f(x)

= change in y / change in x

= (9 - 3) / (2 - 1)

= 6

g(x)

= change in y / change in x

= (6 - 3) / (2 - 1)

= 3

The rate of change between 0 and 2

f(x)

= change in y / change in x

= (9 - 1) / (2 - 0)

= 4

g(x)

= change in y / change in x

= (6 - 0) / (2 - 0)

= 3

Learn more about rate of change at:

https://brainly.com/question/8728504

#SPJ1

Answer:

2.1

Step-by-step explanation:

σ total ^ 2 = σ randi ^2 + σ leah ^2 = 1.1^2 + 1.8^2 = 4.45

σ total = √4.45 = 2.1

Randi and Leah can expect the total number of hours spent studying to vary by approximately 2.1 hours from the mean.

The correct option is C.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Given:

Randi and Leah are studying together for an exam.

Let X represent the number of hours Randi spends studying nightly, and let y represent the number of hours Leah spends studying nightly.

The mean of X is 4.5 hours with a standard deviation of 1.1 hours, and the mean of Y is 3.7 hours with a standard deviation of 1.8 hours.

Assuming these are independent random variables,

S = X + Y

σ²  = σ²(Randi)² + σ²(Leah)

    = (1.1)² + (1.8)²

    =√(4.45)

σ  = 2.1

Therefore, the sum is 2.1.

To learn more about the standard deviation;

brainly.com/question/23907081

#SPJ2

y equals the quantity negative 3 times x plus 7 end quantity over 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given a linear equation in two variables.

3x+ 4y = 7

We have to find an expression to calculate y from the equation.

Subtracting both sides of the equation with 3x, we get,

3x + 4y - 3x = 7 - 3x

4y = 7 - 3x

Dividing throughout by 4,

4y/4 = (7 - 3x)/4

y = (7 - 3x) / 4

Hence the value of y is the quantity negative 3 times x plus 7 end quantity over 4.

Learn more about Equations here :

https://brainly.com/question/10413253

#SPJ1

Therefore , the solution of the given problem of tables comes out to be  to recall multiplication tables without just repeating the numbers is by using skip counting.

A mathematical list is a list of numbers that represents the results of a calculation with several inputs. organized in rows and columns, data consists of numbers and descriptions. It is simple to recall the table and the 10 pattern. 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30 are the numerals in numerical order. Value mapping are used to illustrate the connections between various data elements.

Here,

One of the most effective techniques to recall multiplication tables without just repeating the numbers is by using skip counting.

When counting by skips, you always start with the integer you're counting by and keep adding it.

For instance, if you skip count by 2, you would get 2, 4, 6, 8, 10, etcetera.

Therefore , the solution of the given problem of tables comes out to be  to recall multiplication tables without just repeating the numbers is by using skip counting.

To know more about tables visit:

brainly.com/question/30127929

#SPJ4

There are infinitely many solutions and thus infinitely many values for x and y in the first system of equations. There are no solution for the second system of equations.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

The first system of equations are,

y = 1/2 x + 1

-2x + 4y = 4

Multiplying throughout the first equation by 4, we get

4y = 2x + 4

and the second equation is 4y = 2x + 4

Both the equations are same and so the lines coincide.

They have infinitely many solutions.

The second system of equations are,

y = -x - 3

y + x = 2 ⇒ y = -x + 2

Both are in the form of y = mx +c, which is the equation of the line in slope intercept form.

Here m is the slope.

Given lines have the coefficient of x same, and so slopes are same.

So the lines are parallel.

Two parallel lines does not have a solution.

Hence the first system of equations have infinitely many solutions and second system of equations does not have any solution.

Learn more about System of Equations here :

https://brainly.com/question/24065247

#SPJ1

The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.

The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.

Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.

Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.

This question should be provided with answer choices, which are:

The correct answer is A.

Learn more about inequality here: brainly.com/question/25944814

#SPJ4

Answer:

1

Step-by-step explanation:

X= -3-2=-5

y= -2-3=-5

-5/-5=1

For the given quadratic equation, the solutions are x = -3 and x = -3.

What is the completing square method?

The completing the square method is a technique used to solve quadratic equations of the form y = ax² + bx + c. The goal of this method is to convert the equation into the standard form of a quadratic equation, which is y = a(x + h)² + k, where a, h and k are constants.

To solve y = x² + 6x + 8 by completing the square, we need to add and subtract a value to the equation so that the x-term (x² + 6x) is a perfect square. In this case, we need to add and subtract (6/2)² = 9 to the equation, which gives us:

y = x² + 6x + 8

y = (x² + 6x + 9) - 1

Now, we can take the square root of the x-term, which is (x + 3)², and we get:

y = (x + 3)² - 1

The equation is now in the standard form of a quadratic equation, with y = (x + 3)² - 1. We can now solve for x by taking the square root of both sides of the equation and getting x = -3, -3 .

Alternatively, We can also solve for x by factoring the expression inside the square, which would give (x + 3) (x + 3) = 0 and x = -3, -3

Hence, for the given quadratic equation, the solutions are x = -3 and x = -3.

To learn more about the completing square method, visit:

https://brainly.com/question/13981588

#SPJ1

Answer:

87-5x Gespil=13+8x

Step-by-step explanation:

dubble started with 87, so we but 87 as the y-intercept. Every month he LOSES elentires, therefore minus. The months are represented by x, because we don’t know how many have passed. Same thing for Gespil except it increases for her.
if possible could i maybe get brainilest???? if i cant then its okay.

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

To learn more about vertical and horizontal asymptotes refer to:

https://brainly.com/question/4138300

#SPJ1

The value of h in terms of x when the volume of cylinder is equal to that of cone is h = 6x²

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together.

The volume of cylinder = πr²h

and volume of cone = 1/3 πr²h

since the volume of the cone and cylinder are equal

πr²h = 1/3 πr²h

r in cylinder = x cm and h is 2x

r in cone = x cm

therefore πx²×2x = 1/3πxh

divide both side by πx

π2x³/πx = h/3

2x² = h/3

therefore h = 3×2x²

h = 6x²

therefore the value of h in terms of x is h = 6x²

learn more about volume of cone and cylinder from

https://brainly.com/question/26263468

#SPJ1

The expression that gives the town's population 555 years from now can be calculated using the following formula:

Population (t) = Population (0)×[tex](1+growth rate)^{t}[/tex]

Where t is the time period, in this case 555 years, Population (0) is the initial population, and Growth Rate is the rate of growth, in this case 2.3%.

Plugging in the values, the expression giving the town's population 555 years from now is:

990099009900 × [tex](1+0.023)^{555}[/tex]

This expression gives a population of 236793241036.6 people, which is the estimated population of the town of Springfield, USA 555 years from now.

Learn more about growth rate:

https://brainly.com/question/25849702

#SPJ4

100% percent of the espressos were single-shot.

What is the percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios, proportions, and rates. It is denoted by the symbol "%". For example, if you have 25 out of 100 items, you can express this as 25% to represent the proportion of items that you have.

The total number of espressos sold yesterday afternoon was 5. If 5 of them were single-shot, then 100% * 5 / 5 = 100% of the espressos were single-shot.

Hence, 100% percent of the espressos were single-shot.

To learn more about the percentage, visit:

https://brainly.com/question/24877689

#SPJ1

The profit of the owner is $2204, if her payment is twice the sum of the

other employees' weekly wages.

A wage is the payment made to employees for the time they put in working for their employer. Always based on a specific period of time, wages are paid. On an hourly basis, typically. This is the origin of the phrase hourly worker. Salary and commissions are some additional types of payment.

Pay for lower level employees is determined by the number of hours worked. To record the number of hours worked each week, these employees typically use a time sheet or time card. To keep track of hourly employee hours, the majority of modern employers use computerised systems.

To enter their hours worked, employees must log in and out of the system. These workers are then paid either weekly or biweekly, depending on the state.

Given that the owner pays herself twice the sum of the other employees' weekly wages.

Sum wage of the employees =  $157.50 + $189.00 + $220.50+ $252.00+ $283.50

= $1102.5

She pays herself twice the sum

2 × $1102

= $2204

Thus, the profit of the owner is $2204.

Learn more about wage

https://brainly.com/question/13847060

#SPJ1

Answer:

The first number is 4, the second is 3

Step-by-step explanation:

We can make 2 equations, let x be the first number, and y be the second number.

x = 3y - 5

4x - 2y = 10

We sub x = 3y - 5

=> 4(3y - 5) - 2y = 10

=> 12y - 20 - 2y = 10

=> 10y - 20 = 10

=> 10y = 30

=> y = 3

Sub y = 3 into x = 3y - 5

x = 3(3) - 5

x = 4

Therefore, the first number is 4, and the second is 3

Answer:

A. False

B. False

C. False

D. False

E. False

Explanation:

A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in shade B is 2:1, but this statement only holds true for the first set of values provided.

B. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

C. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

D. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

E. The statement is not true since there's no information about how the shade A is made.

Step-by-step explanation:

The equation 2 2r 8 3r 16 is a linear equation in two variables (r and 3r).

To solve for r, we can use the method of elimination. First, we subtract the second equation from the first equation:

2 2r 8 3r 16

-2 2r 8 3r 16

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

0 0 0

Since the equation is now equal to 0, this means that r is equal to 0. We can confirm this by substituting 0 in for r in both equations:

2 2(0) 8 3(0) 16

2(0) 8(0) 16

0 0 16

Since 0 = 16 is not true, this confirms that r = 0.

Learn more about equation here;

https://brainly.com/question/29657992

#SPJ4

A chord is the line segment that the two points determine, i.e., the interval on the secant with the two points as its ends.

In the plane, a circle is created by each point that is a specific distance from another point (center). Therefore, it is a curve made up of points that are spaced out from one another in the plane in a fixed manner. It rotates symmetrically around the center at all angles. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are evenly distanced from the "center." Specular symmetry is produced by a line that traverses the circle. It rotates symmetrically around the center at all angles.

given

The Latin verb secare, which means to cut, is where the word secant originates.

A secant crosses a circle at precisely two points in the case of a circle. A chord is the line segment that the two points determine, i.e., the interval on the secant with the two points as its ends.

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ4