Marvin has 20 nickels and dimes. He has 2/3 as many dimes as he does nickels. How many nickels and how many dimes does Marvin have?

Answer:

option A is correct

hope this answer helps you dear...take care!

The total surface area of this countertop is 522 square feet.Once all of these factors are taken into account, Mrs. Miller can then calculate the total cost of the countertop.

Surface area is the total area of the visible surface of an object, such as a cube or a sphere. It is measured in square units such as square inches, square feet, or square meters. It is important in mathematics, science, and engineering because it is used to calculate the amount of material needed to cover an object, the volume of a container, and other measurements. Surface area is also helpful in solving problems involving friction, heat transfer, and air flow.

Mrs. Miller is ordering an L-shaped countertop with the dimensions shown for her kitchen. The total surface area of this countertop is 522 square feet. This is calculated by multiplying the length of the countertop (34 feet) by the width of the countertop (15 feet), which yields 510 square feet. Then, the total surface area of the countertop is increased by adding the surface area of the 3-ft by 3-ft corner (9 square feet). Therefore, the total surface area of the countertop is 522 square feet.

Part B

To determine the cost of the countertop, Mrs. Miller would need to consider several factors, such as the material used, the labor required to install the countertop, and any additional fees associated with the purchase. Generally speaking, countertops made of granite, quartz, and marble tend to be more expensive than countertops made of laminate and solid surface. The installation labor cost will vary depending on the complexity of the installation, as well as the type of material used and the size of the countertop. Additionally, there may be additional fees associated with the purchase, such as the cost of delivery and taxes. Once Mrs. Miller has determined all of these factors, she can then calculate the total cost of the countertop.

Conclusion

In conclusion, Mrs. Miller is ordering an L-shaped countertop with the dimensions shown for her kitchen. The total surface area of this countertop is 522 square feet. To determine the cost of the countertop, Mrs. Miller would need to consider several factors, such as the material used, the labor required to install the countertop, and any additional fees associated with the purchase. Once all of these factors are taken into account, Mrs. Miller can then calculate the total cost of the countertop.

To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer: answers and picture

Step-by-step explanation:

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

The solution is the point (-3,2)

Step-by-step explanation:

x + 2y = 1  Subtract 2y from both sides

x + 2y - 2y = 1 - 2y

x = 1 - 2y  Substitute 1 - 2y in for x in the second equation and solve for y.

5x -4y = -23

5(1 - 2y)  -4y = -23  Distribute the 5

5(1) - 5(2y) - 4y = -23

5 -10y - 4y = -23  Combine like terms

5 -14y = -23  Subtract 5 from both sides

5 -5  - 14y = -23 -5

-14y = -28  Divide both sides by -14

\(\frac{-14y}{-14}\) =  \(\frac{-28}{-14}\)

y = 2

Solve for y

x + 2y = 1  Substitute in 2 for y and solve for x

x + 2(2) = 1

x + 4 = 1   Subtract 4 from both sides

x + 4 - 4 = 1 - 4

x = -3

The solution is the point (-3,2)

Check:

2 + 2y = 1

-3 + 2(2) = 1

-3 + 4 = 1

1 - 1  checks

5x - 4y = -23

5(-3) - 4(2) -23

-15 - 8 = -23

-23 = -23

Answer:

6t + 10t - 9t

(6 + 10 - 9 ) t

7t

Step-by-step explanation:

Answer:

7t

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

The volume of the cone with a diameter of 4ft and height 12ft is approximatelly 50.3 ft³

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

The figure in the image is a cone.

Diameter of the base of the cone d = 4ft

Radius r = diameter/2 = 4/2 = 2ft

Height h = 12ft

Plug the given values into the above formula and solbr for the volume.

V = (1/3)πr²h

V = (1/3) × π × r² × h

V = (1/3) × π × (2 ft )² × 12ft

V = 50.3 ft³

Therefore, the volume is 50.3 ft³.

Learn more on volume of cones here: brainly.com/question/1984638

#SPJ1

The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

For more such questions on condition visit:

https://brainly.com/question/24020391

#SPJ8

Explanation:

Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.

Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.

Answer:

puro puto✌✌✌✌

Answer:

1.23× 10 ^8

Step-by-step explanation:

mark brainliest

Answer:

7

Step-by-step explanation:

So:a=3

b=(-2)

c=2

Substitute the numbers into each letters

so a is represented by 3,c by 2 and b -2

therefore giving us: 2

3+(-2)=9+(-2)=7

Answer:

Stratified sampling

Step-by-step explanation:

In the question, students are selected from subgroups of Sophomore, Junior, and Senior classes.

We are told that 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

This means that the sample numbers of 49, 34 and 48 students were selected in proportion to the subgroup sizes of 496, 348, and 481 students respectively.

Thus, due to the fact that subgroups were selected & that sample number of students were also selected in proportion to their respective subgroup sizes, this is therefore a stratified sampling.

There are 43,680 different ways to choose a President, Vice President, Treasurer, and Secretary from 16 students.

An arrangement of items in a particular order is referred to as a permutation. Permutations are frequently used in mathematics to count the number of possible configurations of a set of items. P(n,r) stands for the quantity of permutations of n items taken r at a time and is equal to n! / (n - r)!, where n! (also known as "n factorial") is the sum of all positive numbers from 1 to n.

Given that, the number of students = 16 and the positions are 4.

Thus, after every selection we have:

16 * 15 * 14 * 13 = 43,680

Hence, there are 43,680 different ways to choose a President, Vice President, Treasurer, and Secretary from 16 students.

Learn more about permutation here:

https://brainly.com/question/1216161

#SPJ1

Answer:

.3

Step-by-step explanation:

.33 is .03 greater than .3

The number which represents the smallest value between 0.3 and 0.33 is the number 0.3.

Given are two decimal numbers.

0.3 and 0.33

It is required to find the number which is the smallest between these two.

The number 0.3 can be written as 0.30.

And the other number is 0.33.

In order to find the smallest number, check the digits from left to right.

The first digit after the decimal point of both numbers is 3.

The second digit after the decimal point is 0 for 0.30 and 3 for 0.33.

Here 0 is smaller than 3.

So, 0.30 is smaller than 0.33.

Hence, the smallest value is 0.3.

Learn more about Decimal Numbers here :

https://brainly.com/question/17326405

#SPJ3

Answer:

1.5

Step-by-step explanation:

To find the employee's regular earnings, multiply their regular pay rate ($12) by 40 hours. Next, calculate the employee's time and a half pay rate. Multiply 1.5 by the employee's regular rate of pay.

Answer:

480 would be your answer

Step-by-step explanation:

The z-score for a man 5.5 feet tall is -1.10

From the information, for the men at the same age, they ave mean height 69.4 inches, with standard deviation 3.1 inches.

It should be noted that the formula for the z-score will be:

z = (x - u) / sd

where x = 5.5 feet = 66 inches

u = mean = 69.4 inches

sd = standard deviation = 3.1

This will now be:

z = (x - u) / sd

= (66.0 - 69.4) / 3.1

= -3.4 / 3.1

= -1.10

The z score is -1.10.

Learn more about z-score on;

brainly.com/question/24213960

#SPJ1

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

Learn more about functions;

https://brainly.com/question/12431044

#SPJ1

a) -36 b) 36

1) To simplify those expressions let's expand them to better grasp the result:

When the minus sign is accompanying the number without parentheses, we can read it as -1 times the power. That's why -6²=-1 * 36 = -36

b) For the second power we can write out the following:

2) Hence, we can state that the answers are -36 and 36

With the given equation, the value of m + k is equal to 656 as K is 648 and the value of is 8

We have been given the equation: x² - 4x - 9 = 0

For finding the root, we need to, x = 8² ± 4AC/2A

When we solve for the following equation, we get: x = -10, 26

now we have been given root (m + √K/2) = 26

= (m/2) + (√K/2) = 26

= √2m + √K = 26√2 ......(1)

= m - √K/√2 = -10

= √2m - √K = -10√2 ......(2)

From equation (1) and (2), we get:

2√2m = 16√2

m = 8

therefore, √K = 26√2 - √2m

√K = 18√2

K = 2 × 18² = 648

Now, m + K = 648 + 8 = 656

Therefore, with the given equation, the value of m + k is equal to 656 as K is 648 and the value of is 8

To learn more about equations, click here:

brainly.com/question/29657983

#SPJ4

Answer:

60

Step-by-step explanation:

Using the height and width values shown you can calculate the constant:

30 = constant/2

Constant = 30 x 2

Constant = 60

Answer:

12

Step-by-step explanation:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

The differential equation of y'' + 3y' + 2y = 1/4+ex is

               \(y=c_{1} e^-^2^x+c_{3} e^-^x+4e^-^2^xln(4+e^x)+e^xln(4+e^x)\)

The given differential equation is y'' + 3y' + 2y = 1/4+ex

As we are considering the LHS part looks like a Quadratic equation.

y''+3y'+2y=m²+3m+2

m²+3m+2=0 ---(1)

finding the roots for eq(1)

m²+2m+m+2=0

m(m+2)+1(m+2)

(m+2) (m+1)=0

m=-2,m=-1

Yc=C₁e⁻²ˣ+C₂eˣ   ----(2)

equation (2) is called a complementary function.

A complementary function is only one part of the solution to a linear, and autonomous differential equation.

An ordinary differential equation (ODE) defines the sum of a function and its derivatives. When the explicit functions y = f(x) + cg(x) form the solution, g is called the complementary function; f is the particular integral.

To know more about differential equations:

https://brainly.com/question/15411370

#SPJ4

Answer:

12 kg

Step-by-step explanation:

1 kg = 60 pence

→ Convert the 60 pence into pounds

£0.60

→ Divide by the 7.20

7.20 ÷ 0.60 = 12

→ Multiply the answer by 1

12 × 1 = 12 kg

Answer:

Pi: 3.141592653589793238

3.142 I believe.

Step-by-step explanation:

Answer:

87,010 cents is the SP.

Step-by-step explanation:

MP = $1400

VAT = 13%

Discount = 45%

so,

discount amount = 45% of MP

= 45% of $1400

= 45/100 * $1400

= 9/20 * $1400

= 9* $70

= $630

so,

MP - discount amount

= $1400 - $630

= $770(SP)

so,

VAT amount = 13% of SP

= 13% of $770

= 13/100 * $770

= $100.1

so,

SP + VAT

= $770 + $100.1

= $870.1

so,

$1 = 100 cents

$870.1 = 100*870.1

= 87,010 cents

The ordered pair solution to the function f(x) is (6, -9) because f(6) = -9,

An equation is an expression relating numbers and variables.

A function is a rule that defines the relationship between the dependent and independent variable. Dependent variables are variables that depends on others variable while independent variables are variables that does not depends on others variable

A solution to a function is the values of the variable that makes the equation true.

Given the function f(x) have solution of f(6) = -9. The ordered pair is (6, -9)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1