plsssssssss hlp, geometry

Two families attended a baseball game bought popcorns and souvenir, the cost of each pack of popcorn is $4 and cost of each pack of souvenir is $7.

An expression that depicts the relationship between two or more variables and numbers is called an equation. The provided information can be represented as, using equations:

let x be the price of popcorn and y be the price of souvenir.

First family:

[tex]3x+4y=40[/tex](equation 1)

Second family:

[tex]8x+4y=60[/tex] (equation 2)

We have a system of 2 equations with 2 variables.

3x + 4y = 40

8x + 4y = 60

We are asked for the price of 1 bag of popcorn, x, so we will eliminate y and solve for x.

from equation 2,

[tex]8x+4y=60\\4y=60-8x[/tex]

divide both sides by 4

[tex]\frac{4y}{4} =\frac{60-8x}{4} \\y=15-2x[/tex]

now putting the value of y in equation 1

[tex]3x+4(15-2x)=40\\3x+60-8x=40\\-5x=-20\\x=4\\[/tex]and [tex]y=7[/tex]

Hence, the cost of popcorn is $4 and cost of souvenir is $7.

Learn more about equation at:

brainly.com/question/29174899

#SPJ4

Answer:

25%

Step-by-step explanation:

p/w =x/100 for a percentage

93.75/125 = x/100

93.75×100= 9375

9375 = 125x

9375/125 =75

x=75

So she paid 75% of the original price, meaning the jeans were 25% off.

It is not possible to solve for x and find the length to the nearest whole number. Please provide the complete equation or additional information to help solve for x.

To find the length x to the nearest whole number, we need to use the given information and follow these steps:

1. Start with the given equation: x≈
2. Solve for x by simplifying the equation.
3. Once you have found the value of x, round it to the nearest whole number.

Without additional information, it is not possible to solve for x and find the length to the nearest whole number. Please provide the complete equation or additional information to help solve for x.

Learn more about length

brainly.com/question/30100801

#SPJ11

Answer:

I think the answer is C. 65 m

Step-by-step explanation:

Answer:

L=22

Step-by-step explanation:

For the area of a rectangle you have to multiply the width by the length.

This problem would look like L*W=A. Being that you already have the area and the width, you would just have to fill in for these.

L*6.5=143

Then just follow the rules of PEMDAS to sole for L. In this case this would be dividing 6.5 by both sides.

L=22

Alex will need 150 tiles to make his mosaic.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the tiles in a two-dimensional plane is called the area of the tiles.

To determine the number of tiles needed to create the mosaic, we need to find out the area of the wall mosaic and then divide it by the area of each tile.

First, let's find the area of the wall mosaic. We can do this by counting the number of squares within the rectangular shape, which is the plan for the mosaic.

By counting, we can see that there are 30 squares in the horizontal direction and 20 squares in the vertical direction. Therefore, the area of the wall mosaic is:

Area of wall mosaic = 30 x 20 = 600 square cm

Now, let's find the area of each tile. The problem tells us that each tile is a square with a side length of 2 cm. Therefore, the area of each tile is:

Area of each tile = 2 x 2 = 4 square cm

Finally, we can find the number of tiles needed by dividing the area of the wall mosaic by the area of each tile:

Number of tiles needed = Area of wall mosaic ÷ Area of each tile

= 600 ÷ 4

= 150

Therefore, Alex will need 150 tiles to make his mosaic.

To know more about an area follow

https://brainly.com/question/30659992

#SPJ9

Answer:

Step-by-step explanation: g

The height of this prism is equal to 1.5 centimeters.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Substituting the given parameters into the formula for the volume of a rectangular prism, we have;

2.76 = 2.3 × 0.8 × H

Height, H = 2.76/1.84

Height, H = 1.5 centimeters.

Read more on prism here: brainly.com/question/21012007

#SPJ1

Answer:

x=5, y=-15

Step-by-step explanation:

7x+2y=5

3x+2y=-15

4x=20

 x=5

7(5)+2y=5

       2y=-30

         y=-15

Answer:

2500

Step-by-step explanation:

Total spectator 9500

Men 6375

Women and children = 9500-6375= 3125

Women X

Children 4X

If women and children = 3125

4x + X = 3125

5x = 3125

Divide both sides by 5

X = 625

Women 625

Children 625x4 = 2500

The total surface area of the hollow hemisphere is 1736.4 cm²

The total surface area of a large round bowl (hollow hemisphere) can be calculated by finding the surface area of the outer hemisphere and the surface area of the inner hemisphere and area of the ring and adding them together.

The formula for the surface area of a hemisphere is 2πr^2, where r is the radius of the hemisphere.

The outer radius of the bowl is 12 cm, so the surface area of the outer hemisphere is:

Surface area of outer hemisphere = 2π(12)^2 = 2π(144) = 288π

The inner radius of the bowl is the outer radius minus the thickness, which is 12 - 1 = 11 cm. So the surface area of the inner hemisphere is:

Surface area of inner hemisphere = 2π(11)^2 = 2π(121) = 242π

area of the concentric circle joining the outer surface and inner surface is π(12²-11²)= 23π

The total surface area of the bowl is the sum of the surface area of the outer hemisphere and the surface area of the inner hemisphere:

Total surface area = 288π + 242π + 23π = 553π

So the total surface area of the bowl is 530π cm^2.

then we can use the approximation π ≈ 3.14 to find the total surface area:

Total surface area ≈ 553*(3.14) ≈ 1736.4 cm^2

So the total surface area of the bowl is approximately 1736.4 cm^2.

Learn more about surface area here: https://brainly.in/question/1761454

#SPJ11

Answer:

Representation B does not show the amount of time Kaleigh spent watching TV at this rate. Representation B only shows the total time she would have spent based on the number of episodes watched, assuming each episode is 30 minutes long. It does not take into account the actual time it took for Kaleigh to watch the episodes, which may have varied depending on how quickly she watched them.

Step-by-step explanation:

Answer:

So each square in the diagram represents approximately 9.69 tickets. However, since we can't sell fractional tickets, we can round this up to 10 tickets per square. Therefore, each square in the diagram represents 10 tickets.

Step-by-step explanation:

Assuming that the tape diagram shows the ratio of adult tickets to child tickets as 3:2, we can represent this as follows:

  AAA

  AAA

  AAA

  CCC

  CCC

In this diagram, each square represents a certain number of tickets. To determine how many tickets each square represents, we need to know the total number of squares in the diagram.

There are a total of 3 + 3 + 3 + 2 + 2 = 13 squares in the diagram. Since the theater sold 126 tickets in total, we can divide 126 by 13 to find out how many tickets each square represents:

126 ÷ 13 ≈ 9.69

So each square in the diagram represents approximately 9.69 tickets. However, since we can't sell fractional tickets, we can round this up to 10 tickets per square. Therefore, each square in the diagram represents 10 tickets.

These are the x-coordinates of the points where the graph intersects the x-axis. We can use these points to sketch the curve of the function.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

The function ƒ(x) = −x³ + 4x² − 2 is a cubic function, which means that it is a polynomial of degree 3. The general form of a cubic function is:

ƒ(x) = ax³ + bx² + cx + d

where a, b, c, and d are constants. In the given function, we have:

a = -1

b = 4

c = 0

d = -2

Therefore, we can rewrite the function as:

ƒ(x) = -x³ + 4x² - 2

This function can be graphed to show the shape of the curve it creates. The graph of a cubic function is a curve that can either be concave up or concave down, depending on the sign of the leading coefficient. In this case, the leading coefficient is negative, so the graph will be concave down. The function has a y-intercept of -2, which means that it intersects the y-axis at the point (0, -2). To find the x-intercepts, we can set ƒ(x) equal to zero and solve for x:

ƒ(x) = -x³ + 4x² - 2 = 0

We can use factoring or the quadratic formula to solve for x, but in this case, the equation can be simplified by factoring out a common factor of x²:

-x²(x - 4) + 2 = 0

Now we can solve for x:

x² = 2/(4 - x)

x = ±√(2/(4 - x))

To know more about equation,

https://brainly.com/question/2228446

#SPJ9

Complete question:

Solve for x when  ƒ(x) = −x³ + 4x² − 2.

The equation which represents the relationship between the variables is; y = 5x + 2.

As evident in the task content;

To define the variables;

Let x = amount of time in years and

y = weight of the carp.

Since the carp grows 5 pounds each year and initially weighs 2 pounds.

By the slope-intercept form equation;

y = mx + c;

Where,

m = 5 pounds

c = 2 pounds

Therefore, the required relationship which represents the situation is; y = 5x + 2.

Read more on slope-intercept equation;

https://brainly.com/question/1884491

#SPJ1

The width of the rectangle is 4 2/3 yards.

The area of a rectangle is the measure of the total region that the rectangle occupies in two-dimensional space.

It is calculated by multiplying the length of the rectangle by its width.

The formula for the area of a rectangle is:

Here we have

The area of a rectangular tablecloth is 8 3/4 square yards.  

The width of the tablecloth is 1 7/8 yards

For simple calculation convert given fractions into improper fractions

=> 8 3/4 = 35/4 yards

=> 1 7/8 = 15/8  yards  

Let 'x' be the breadth of the rectangle

As we know Area of the rectangle = Length ×  width

=> x × 15/8 = 35/4

=> x = 35/4 × 8/15

=> x = 14/3

Here, 14/3 = 4 2/3 yards  

Therefore,

The width of the rectangle is 4 3/2 yards.

Learn more about Rectangles at

https://brainly.com/question/29129931

#SPJ1

Answer:

Step-by-step explanation:

The relative frequency of a student being a tenth grader that gets their news from the internet is 0.79.

What is frequency ?

Frequency refers to the number of times that an event or value occurs within a specific period or dataset. It is a measure of how often a particular value or category appears in a set of data. The frequency can be expressed as an absolute count or as a proportion or percentage relative to the total number of observations in the dataset. Frequency is often used in statistical analysis to describe the distribution of data and to calculate various measures of central tendency and variability.

The relative frequency of a student being a tenth grader that gets their news from the internet is given by:

(number of tenth graders who get their news from the internet) / (total number of students)

So, the relative frequency for tenth graders is

34/175 = 0.194

Rounding to the nearest hundredth gives 0.19.

Therefore, the relative frequency of a student being a tenth grader that gets their news from the internet is 0.79.

To know more about frequency visit :

https://brainly.com/question/254161

#SPJ1

The actual area of the lake 64000 square meters.

When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.

In this given question, we are first of all going to use the given ratio of the on map measurements to the actual measurements, that is 1:20000 to calculate the actual measurements as follows:

[tex]1.6cm^2=1\times 1.6cm^2[/tex]------->1

Using the ratio 1:20000 in 1.1, we get,

[tex]1.6\times1 cm^2= 1.6\times (20000)^2 cm^2 = 1.6\times 400000000 cm^2 = 640000000cm^2[/tex]-----> 2

As the actual measurement of the area of the lake.

So, 1m = 100 cm

=> [tex](1m)^2=(100cm)^2[/tex]

=> [tex]1m^2 = 10000cm^2[/tex]-------> 3

So, using equation 3 in the value obtained 2, we get,

=> [tex]640000000cm^2 = \frac{640000000}{10000} = 64000m^2[/tex]

Hence the actual area of the lake is 64000 square meters.

To learn more about ratio refer the below link

https://brainly.com/question/12024093

#SPJ1

Question 1
a) The density function of X is given by f(x)= 3x^2/64 for 0 ≤ x ≤ 4 and f(x) = 0 otherwise.
b) The expected value of X is E(X)= 3/2 and the variance of X is Var(X)= 3/8.
c) The mean of the net profit Y is given by E(Y) = 0.1E(X) - 1000 = -950 and the standard deviation is given by σY = 0.1σX = 0.1(√3/2) = 0.1825.

Learn more about eaming

brainly.com/question/13016225

#SPJ11

Answer: (0, 48)

Step-by-step explanation:

To find the y-intercept, plug the x and y values in the equation y = -3x + b, and leave the b the same.

I will use (11, 15)

15 = -3(11) + b

15 = -33 + b

48 = b

The y-intercept is (0, 48)

Equation is y = -3x + 48

Hope this helps!

The Gauss-Jordan elimination method can be used to solve this system of linear equations. First, we need to create an augmented matrix containing all the coefficients of the system:

\begin{bmatrix}
   7 & 7 & 7 & 0 \\
   2 & 2 & -4 & 6 \\
   1 & 1 & -2 & -1 \\
   0 & 0 & 1 & 0 \\
\end{bmatrix}

We then use a series of row operations to reduce the matrix to row echelon form:

\begin{bmatrix}
   7 & 7 & 7 & 0 \\
   0 & -4 & -5 & 6 \\
   0 & 1 & -3 & -1 \\
   0 & 0 & 1 & 0 \\
\end{bmatrix}

Finally, we solve the system of equations by performing back substitution and we get the following solution:

x1 = 0, x2 = 6, x3 = 1, x4 = -2, x5 = 1

To know more on Gauss-Jordan elimination

brainly.com/question/21088742

#SPJ11

The theorem you mentioned is known as Meusnier's theorem. The edge of regression of the polar developable of a space curve is the locus of the center of spherical curvatures.

It states that the locus of the center of spherical curvature of a space curve is the edge of regression of the polar developable of the curve. In other words, the center of curvature of a curve at any point lies on the edge of regression of the polar developable curve.

This theorem is used to describe the curvature of a curve in three-dimensional space. It is named after the French mathematician Jean Baptiste Meusnier, who first discovered it in 1776.

In mathematical terms, the theorem can be expressed as follows:

Let C be a space curve with curvature k and torsion T. Let P be a point on C and N be the normal vector at P. Then, the center of curvature of C at P is given by:

O = P + (1/k)N

The edge of regression of the polar developable of C is the locus of the point O as P varies along C.

To learn more about Regression :

https://brainly.com/question/17004137

#SPJ11

When he rests for a few hours after coming back from ice-store he rests for 2 hours the time the plane takes off is 9:10 pm.

Total distance traveled is 151 miles.

Dave spends 25 + 10 + 55 + 25 = 115 minutes (or 1 hour and 55 minutes) on stops.

Dave rests for 2 hours.

To calculate the time the plane takes off, we need to add up all the time Dave spends on driving, stops, and rests, and then add that time to the time he starts (12:45 pm).

Time to drive from A to C and back to A: 2 * 6 / 60 = 0.2 hours

Time to drive from A to C to D to B to A: (6 + 24 + 24 + 3) / 60 = 0.95 hours

Time to drive from A to C to D to home to E to market to E: (6 + 24 + 24 + 40 + 5 + 5) / 60 = 2.33 hours

Time to rest: 2 hours

Total time spent: 0.2 + 0.95 + 2.33 + 1.92 = 5.4 hours

Time of departure: 12:45 pm + 5.4 hours = 6:25 pm

Adding 45 minutes for the luggage check and boarding, the plane takes off at 6:25 pm + 0.45 hours = 7:10 pm

Adding another 2 hours for the time zone difference, the plane takes off at 7:10 pm + 2 hours = 9:10 pm.

To learn more about time follow the link: brainly.com/question/28050940

#SPJ4

Alex want to subtract 196 from . So here we have to know about basic mathematical calculation.

What is calculation?

Calculation is a mathematical process we take one or more input to get one or more output. For this we uses various operations like Addition , Subtraction, Multiplication, Division, Percentage etc.

In addition we add one or more no to other and get output.

Example : 5 + 4 + 6 = 15

In addition we subtract smaller by the bigger no.

Example : 5 -4 = 1

In Multiplication we multiply two or more number to get output.

Example : 5 x 4 x 6 = 120

In division we divide smaller number by the big one to take output.

Example : 12 / 6 = 2

So , In question, [tex]50^{2} - 48^{2} =196[/tex]

So, My answer is 196.

To learn more about Percentage, visit:

brainly.com/question/24877689

#SPJ9

Answer:

think its this not sure : Alternate interior angles theorem

Step-by-step explanation:

The roots in simplest form are x=-8+6i and x=-8-6i.

The question is asking you to find the roots of -5x^(2)-80x-140=0 in simplest form by completing the square.

To complete the square, follow the steps below:

1. Divide the coefficient of the x^2 term by 2 and add the result to both sides of the equation:
-5x^2/2 + 80x/2 + 140 = 0 + 5x^2/2

2. Square the coefficient of the x^2 term: (5x^2/2)^2

3. Add this result to both sides of the equation: 5x^2/2 + (5x^2/2)^2 + 80x/2 + 140 = 5x^2/2 + (5x^2/2)^2

4. Rewrite the equation as a perfect square on the left side of the equation: (5x^2/2 + 40x/2)^2 = (5x^2/2 + 40x/2)^2 + 140

5. Take the square root of both sides to solve for x:
5x^2/2 + 40x/2 = ± √140

6. Rewrite the equation as two equations in x:
x = -80 ± √140 / 10

7. Simplify:
x = -8 ± √14  / 1

Therefore, the roots of -5x^(2)-80x-140=0 in simplest form by completing the square are x = -8 ± √14 / 1.
To find the roots in simplest form by completing the square for the equation -5x^(2)-80x-140=0, we need to follow these steps:

1. First, we need to isolate the x terms on one side of the equation. We can do this by adding 140 to both sides of the equation:

-5x^(2)-80x=140

2. Next, we need to factor out the coefficient of the x^(2) term, which is -5:

-5(x^(2)+16x)=-140

3. Now we need to complete the square by adding the square of half of the coefficient of the x term to both sides of the equation:

-5(x^(2)+16x+64)=-140+320

4. Simplify the right side of the equation:

-5(x+8)^(2)=180

5. Divide both sides of the equation by -5:

(x+8)^(2)=-36

6. Take the square root of both sides of the equation:

x+8=±6i

7. Solve for x:

x=-8±6i

To know more about perfect square click on below link:

https://brainly.com/question/13521012#

#SPJ11

In statistics, a linear relationship is a connection that runs in a straight line between two variables (or linear association).

Both a mathematical representation of a linear relationship, in which the dependent variable is produced by multiplying the independent variable by the slope coefficient and a constant, and a graphic representation of a linear relationship, in which the variable and constant are connected by a straight line.

A polynomial or non-linear (curved) relationship can be contrasted with a linear relationship.

A linear relationship is one that mathematically answers the question:

y = mx + b

Where,

m = slope

b = y-intercept

"X" and "Y" are two variables in this equation.

To know more about linear relationships, visit:

https://brainly.com/question/15070768

#SPJ1

We can find g(x) for any value of x by using the function notation g(x) = f(x) + 6.

The function g is related to the parent function f by a vertical shift of 6 units. In function notation, we can write g in terms of f as:

g(x) = f(x) + 6

This means that for any value of x, we can find the corresponding value of g by first finding the value of f at that x value, and then adding 6.
For example, if x = 2, we can find g(2) by first finding f(2) and then adding 6:
f(2) = 2^(2) = 4
g(2) = f(2) + 6 = 4 + 6 = 10
So g(2) = 10.

For more such questions on Functions, visit:

brainly.com/question/12431044

#SPJ11

Answer:

The graph of y=1/2x-10 is a straight line with a slope of 1/2 and y-intercept of -10. It slopes upward from left to right and intersects the y-axis at -10.

On the other hand, the graph of y=1/x is a hyperbola that passes through the origin and has asymptotes at x=0 and y=0. It consists of two branches that curve towards the asymptotes in opposite directions.

Compared to the graph of y=1/x, the graph of y=1/2x-10 is a simpler and more predictable shape. It does not have asymptotes and has a constant slope. It also does not pass through the origin, unlike the graph of y=1/x.