Sandra and her two friends went to dinner at their favorite restaurant. Sandra gave the waiter $50 to pay for everyone’s meal. The waiter gave her $4.82 in change. Each meal cost the same amount. What is the cost in dollars and cents for each meal?

HELP

Answer:

r>=12

Step-by-step explanation:

no because one is negative and the other is positive so no it didn't

Answer:

Step-by-step explanation:

A = π r²

A = 11²π - 3²π = ( 121 - 9 ) π = 112 π ≈ 112 × \(\frac{22}{7}\) = 352 cm²

( 112 × 3.14 = 351.68 cm²)

Answer:

1,050

Step-by-step explanation:

p=1000

R=2.5%

T=2 years

S.I=?

S.I=PRT÷100

S.I=$50

T.T Amount =P+S.I

Amount=$1,050

Answer:

1051

Step-by-step explanation:

We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.

What is gallons?

Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.

Let's start by using algebra to solve the problem.

Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:

0.227x = 68.1

To solve for x, we can divide both sides of the equation by 0.227:

x = 68.1 ÷ 0.227

x = 300.001 (rounded to three decimal places)

Therefore, the family uses 300.001 gallons of water every day.

To know more about equation visit:

brainly.com/question/28874341

#SPJ1

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a die, labeled 1,2,3,4,5,6

P(6) = number of 6's / total numbers

     = 1/6

Answer: 10

Step-by-step explanation:

9 1/6 x 1 1/11

55/6 x 12/11

cross reduce

5/1 x 2/1

10

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

for such more questions on distance

https://brainly.com/question/30395212

#SPJ8

Answer:

first seperate the 2 and multiply

Step-by-step explanation:

The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

Read more on resultant velocity here https://brainly.com/question/4945130

#SPJ1

The name of the Platonic solid that resembles a cuboid is the hexahedron, or more commonly known as a cube.

The correct answer is option C.

The name of the Platonic solid that resembles a cuboid is the hexahedron, also known as a cube. The hexahedron is one of the five Platonic solids, which are regular, convex polyhedra with identical faces, angles, and edge lengths. The hexahedron is characterized by its six square faces, twelve edges, and eight vertices.

The term "cuboid" is often used in general geometry to describe a rectangular prism with six rectangular faces. However, in the context of Platonic solids, the specific name for the solid resembling a cuboid is the hexahedron.

The hexahedron is a highly symmetrical three-dimensional shape. All of its faces are congruent squares, and each vertex is formed by three edges meeting at right angles. The hexahedron exhibits symmetry under several transformations, including rotations and reflections.

Its regularity and symmetry make the hexahedron an important geometric shape in mathematics and design. It has numerous applications in architecture, engineering, and computer graphics. The cube, as a special case of the hexahedron, is particularly well-known and widely used in everyday life, from dice and building blocks to cubic containers and architectural structures.

Therefore, the option which is the correct is C.

For more such information on: Platonic solid

https://brainly.com/question/32030513

#SPJ8

The question probable may be:

What is the name of the Platonic solid which resembles a cuboid?

A. Dodecaheron  

B. Tetrahedron

C. Hexahedron

D. Octahedron  

Answer: 14 = x

Disclaimer: it may end up just being 14.136363636363636363636363636364

Step-by-step explanation: basically 311 ÷ 22 would = 14.136...(more numbers but they repeat) but you probably drop those decimals and it is

14 if you don't end up having to drop it then it would be 14.136363636363636363636363636364 which in your case 14.136363636363636363636363636364 is your answer

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

Answer:

x=8

Step-by-step explanation:

The figure is shown in the attached figure.

We have, LK║OM. We need to find the value of x.

It is based on side-splitter theorem. If a line is parallel to third side of a triangle, then the points that intersects the two lines, it divides proportionally.

Using it in given problem. So,

\(\dfrac{\text{NK}}{\text{KM}}=\dfrac{\text{NL}}{\text{LO}}\)

Nk = x+2, KM = x-3, NL = x and LO = x-4

So,

\(\dfrac{x+2}{x-3}=\dfrac{x}{x-4}\)

Cross multiplying, we get :

\((x+2)(x-4)=x(x-3)\\\\x^2-4x+2x-8=x^2-3x\\\\-2x+3x=8\\\\x=8\)

So, the value of x is 8.

Answer:   D     x=8

Step-by-step explanation:

Answer:

acd

Step-by-step explanation:

Answer:

30 meters squared

Step-by-step explanation:

First of all, we need to split the shape into different shapes. In this case, two triangles and a rectangle. We know that the triangle on the left has a height of 3 meters, and a width of 3 meters, and the formula for the area of a triangle is:

(b*h)/2 = A

So, we can plug in the values:

(4*3)/2 = A

Then, solve.

12/2 = A

6 = A

So, the triangle on the left is 6 meters squared. There is another copy of that triangle, so that means that both of the triangles combined is:

6*2 = 12 meters squared

Lastly, we need to find out the middle rectangle, which is 6 meters by 3 meters. The area of a rectangle is:

L*W = A

Plug the values...

6*3 = 18 square meters

So, the rectangle is 18 meters squared.

Our last step is to add the area for all the shapes. That would be:

12 + 18 = 30 meters squared.

Therefore, the area of this shape is 30 meters squared. Hope this helps!

Answer:

The geometric mean of 6 and 30 is 13.416407864999

To obtain the number of drinls that the cafeteria sells in an hour, the following steps are recommended:

Step 1: Express the rate at which the cafeteria sells drinks, as follows:

Step 2: Multiply the rate above by the appropriate conversion factor which will help express it in a per-hour basis, as below:

Step 3: Simplify to obtain the final expression, as follows:

Therefore, the cafeteria sells 120 drinks in an hour

Answer:

d. 1/16

why does the answer neeeds to be 20 characters long?!

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

for such more question on series

https://brainly.com/question/29062598

#SPJ8

Answer:

-1.88cm/min

Step-by-step explanation:

Given

dh/dt = 1.5cm/min

dA/dt = 3.5cm²/min

Height h = 10cm

Area A = 86cm²

Required

db/dt

b is the base

h is the height.

Area of a triangle A = 1/2bh

dA/dt = dA/db•db/dt + dA/dh •dh/dt

dA/db = h/2 = 10/2 = 5cm

Get the base

86 = 1/2(10)b

5b = 86

b = 17.2cm

dA/ dh = 1/2b = 1/2(17.2)

dA/dh = 8.6cm

.substitute given values into the formula above;

dA/dt = dA/db•db/dt + dA/dh •dh/dt

3.5 = 5 db/dt + 8.6(1.5)

3.5 = 5 db/dt + 12.9

5 db/dt = 3.5-12.9

5 db/dt = -9.4

db/dt = -9.4/5

db/dt = -1.88cm/min

Hence the base is changing at -1.88cm/min

Answer:

b

Step-by-step explanation:

Answer:

-3, -2, -1, 0, 1, 2, 3, 4 and 5. is the answer

Integers are numbers that don't have any fractional or decimal portions to them. They include negative values as well as positive ones, and zero as well. Use a number line if needed.

0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%

The midpoint of two coordinates can be obtained using the formula:

x1 = -1

y1= 2

x2= -7

y2= -4

a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

To know more about decimal here.

https://brainly.com/question/9543292

#SPJ4

Answer:

Step-by-step explanation:

5.4

Answer:

27/5 = 5.4

Step-by-step explanation:

You can use long division

5.4

 -----------

5| 27

   25

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

       20

      -20

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

0

Answer:

When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.

Step-by-step explanation:

trust the process