Amelia is ordering a balloon bouquet. She can choose any combination of 10-inch balloons and 8-inch balloons for her bouquet, and she does not want to spend more than $30.

If the 10-inch balloons cost $4 each dollars and the 8-inch balloons cost $2 each, which inequality represents all possible combinations of x 10-inch balloons and y 8-inch balloons?

Answer:

72cm

Step-by-step explanation:

Original length of the cube = 9cm

Perimeter of the original cube = 4L

Perimeter of the original cube = 4(9)

Perimeter of the original cube = 36cm

If the cube is increased by a factor of 3, new length will be 3(9) = 27cm

Perimeter of the new cube = 4*27

Perimeter of the new cube = 108cm

Difference =108 - 36

Difference = 72cm

Hence the new cube is 72cm larger than the original

Answer:

72cm

Step-by-step explanation:

A line graph is the most basic method of illustrating data.

A line graph is a special type of graph that is frequently employed in statistics. In relation to another quantity, it shows how one quantity has changed. For instance, we may use this graph to illustrate how the cost of various chocolate flavors fluctuates. Typically, a two-dimensional XY plane is used to plot this variation. A graph is said to be linear if it can represent the relationship between any two measurements by a straight line. Consequently, a line graph is often known as a linear graph.

The three different types of line graphs are simple line graphs, numerous line graphs, and compound line graphs.

Option B is the proper response, thus.

To learn more about line graph, refer:-

https://brainly.com/question/23680294

#SPJ4

The linear equation representing Mia's situation is y = 3x + 12.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two points given are - (4,24) and (6,30)

The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.

To find the slope use the formula -

m = (y2 - y1)/(x2 - x1)

m = (30 - 24)/(6 - 4)

m = 6/2

m = 3

So, now the equation becomes - y = 3x + b

To find the y-intercept substitute the equation with x and y values -

24 = 3(4) + b

24 = 12 + b

b = 24 - 12

b = 12

So, now the equation becomes - y = 3x + 12.

Therefore, the linear equation y = 3x + 12.

To learn more about linear equation from the given link

https://brainly.com/question/2226590

#SPJ1

A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?

Answer:

$126.5

Step-by-step explanation:

Find how much 15% is in 55, then add it to 55 and multiply by 2!

Answer:

y=-2x-15

Step-by-step explanation:

first find the slope. the formula for finding slope is (y_1 - y_2)/(x_1 - x_2) (rise over run) so we plug in the values and get (-6+4)/(-5+6)= -2/1=-2 so m=-2 and we have y=-2x+b. then plug in either point for x and y and solve for b. -5= -2*-5 +b, -5= 10+b, b=-15, y=-2x-15

Answer:

y=-0.5x-8

Step-by-step explanation:

i got it right

When a consumer's budget increases, the budget line shifts to the right, allowing the consumer to reach a higher level of consumption. Therefore, the correct answer is A. right; higher

When a consumer's budget increases, it means they have more money available to spend on goods and services. This increase in budget causes the budget line, which represents the different combinations of goods a consumer can afford, to shift. The budget line shows the maximum amount of goods that can be purchased with the given budget and prices.

When the budget line shifts to the right, it indicates that the consumer can now afford to purchase more goods than before. This means that the consumer can reach a higher level of consumption because they have more options available to them within their budget constraint. They can either purchase more of the same goods or allocate their budget towards different goods and increase their overall consumption.

Learn more about increases here: https://brainly.com/question/8791755

#SPJ11

n = - 3

How is the given equation  \(5^{n} =\frac{1}{125}\)   solved to find n ?

Converting the fraction to negative exponential form,

\(5^{n} ={125}^{-1} \\\\5^{n} ={(5^{3})}^{-1} \\\\\text{We know } (a^{n} )^{m} =a^{nm} \\\\\text{Applying this exponent power rule in the above expression},\\\\5^{n} = 5^{-3} \\\\\text{As the corresponding exponents are equal}\\\\n= -3\)

What are laws of exponents?

To learn more about laws of exponents, refer:

https://brainly.com/question/27385740

#SPJ13

Answer:

∠ EDC = 55°

Step-by-step explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA = \(\frac{180-20}{2}\) = \(\frac{160}{2}\) = 80°

Similarly for Δ BCD

∠ CDB = \(\frac{180-90}{2}\) = \(\frac{90}{2}\) = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°

The solution to the given equations is (1, -3), written as an ordered pair.

Equations can be used to solve for unknown variables, calculate the value of certain constants, and more.

The solutions to the given equations can be found by solving the first equation for y and then substituting that result into the second equation.

First, solve the first equation for y:

y = x - 4

Next, substitute this result into the second equation:

1 - 4x = x - 4

Next, solve for x:

5x = 5

x = 1

Finally, substitute x = 1 into the first equation to solve for y:

y = x - 4

y = 1 - 4

y = -3

Therefore, the solution to the given equations is (1, -3), written as an ordered pair.

For more questions related to variables

https://brainly.com/question/27894163

#SPJ1

In ordered pair the solution of given equation is is (1, -3).

What is equation?

Equation is a mathematical statement which is formed by two expressions joined by an equal sign where two statements are formed by polynomial or constants. For example, 2x – 9 = 13. Solving this equation, we get x as x = 11.

Given equation is

x-y =4------------------(1)

y=1- 4x-----------------(2)

putting the value of equation (2) in (1) at the place of y we get,

x-(1-4x)=4

⇒ x-1+4x=4

⇒ (x+4x)= 4+1

⇒ 5x= 5

⇒ x=1

putting the value of x=1 in equation (2) we get,

y= 1- 4×1

⇒ y= 1-4

⇒ y= -3

Hence, the solution of the equation is x=1 and y= -3.

To know more about equation

brainly.com/question/2228446  from the link.

#SPJ1

Answer:

1/2 * 5 * 5

4

1/3, 7

79 in³

Step-by-step explanation:

The area of the base : base is shaped like a triangle ;

Area of triangle = 1/2 base * height :

Base and height = 5

Area of base = 1/2 * 5 * 5 = 12.5 in²

Volume of triangular prism = Area of base * height

Volume of triangular prism = 12.5 * 4 = 50 in³

For the triangular pyramid :

Area of base * height of pyramid *1/3

12.5 * 7 * (1/3) = 29.17

The volume of the paperweight :

Volume of triangular pyramid + volume of triangular prism

29.17 + 50

79.17 = 79 in³

To solve this question we will use the following diagram as reference:

To answer the question we have to find the missing side of the right triangle, using the Pythagorean theorem we get:

Where a, and b are the legs of the triangle, and c the hypothenuse.

Substituting a=84, and c=91 we get:

Answer: 35 ft.

The reading of the Vernier caliper from what we have been shown in the image is 22mm.

We have to  look for the Vernier scale division that aligns perfectly with a division on the main scale. Note the number on the Vernier scale that aligns with a number on the main scale.

Then we examine the other divisions on the Vernier scale and identify the one that aligns most closely with a division on the main scale. This will be the fractional part of the measurement.

The locking screw is at 2cm on the main scale and 0.2 cm on the Vernier scale. This gives a reading of 2.2cm or 22 mm.

Learn more about Vernier caliper:https://brainly.com/question/28224392

#SPJ1

Answer:

The answer is C

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

42% of 100 in 42

100x3=300 soooo

42x3=126

Answer:

Step-by-step explanation:

We are given an equation( a math expression with an equal sign)

5+x-12=x-7

First things first, we need to combine any like terms(add/subtract) on the same side

A term is a number, variable, that is separated by a plus symbol or minus symbol.

Here 5 and -12 are similar terms so let combine them

5-12=-7 So the equation become

x-7=x-7

Step 2:  Notice how the left hand and right-hand side are the same thus we do not need to solve this equation. But let do the work instead

x-7=x-7

x=x

Thus, the solution is All Real Numbers

Part B:

Substitute -4 for x in the original equation.

5+(-4)-12=-4-7

1-12=-4-7

-11=-11

Thus, the equation is true here.

Substitute 0 for x in the original equation

5+0-12=0-7

-7=-7

Equation is True Here

Try 5 for x as well

5+5-12=5-7

10-12=5-7

-2=-2

So equation is true as well.

Let me know if you have any questions or concerns.

Answer:

is the awnser yo your cool sorry uf its wrong

16cm

Answer:

all I know is x is less because whichever way the < is facing towards is greater

Answer:

A and E

Step-by-step explanation:

Im not so sure about the rest but it is A and E

\((3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28\)

I hope I helped you^_^

Expressions that are equivalent to 7(2 - 3n) are 14 - 21n and (2 - 3n). 7

1. 14 - 21n is equivalent to 7(2 - 3n) because we can distribute the 7 to the 2 and -3n in the expression, 7(2 - 3n) = 72 - 73n = 14 - 21n.

2. (2 - 3n). 7 is equivalent to 7(2 - 3n) because it can be changed by the distributive property, (2 - 3n). 7 = 2. 7 - 3n. 7 = 14 - 21n

All the other expressions are not equivalent to 7(2 - 3n) because they don't follow the distributive property and some of them don't have the same coefficients.The distributive property is a mathematical property that states that for any two numbers a and b, and for any third number c, the following equation holds true: a(b + c) = ab + ac. This property is also known as the distributive law of multiplication over addition. The distributive property is used to simplify expressions by breaking them down into smaller parts that can be calculated separately and then combined again.

Therefore, Expressions that are equivalent to 7(2 - 3n) are 14 - 21n and (2 - 3n). 7

To learn more about equivalent expressions,

Visit; brainly.com/question/28170201

#SPJ4

Answer:

1. 20

2. 86.6

3. 173.2

4. 17.32/20

5. 10/20

6. 17.32/10

Step-by-step explanation:

sin 60 = x/20 17.32

cos 60 = x/20. 10

The lengths of PR and QS are; 20 and 28.28

The area of triangle PQR is, 282.8

The area of the rectangle PQRS is, 100√3.

The sine ratio of angle PRS is , 1 / 2.

The cosine ratio of angle PRQ is, √3 / 2.

The tangent ratio of angle PQS is, √3 / 3.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

we know that its diagonal bisects each other therefore PT=TR i.e. 10 units

PS = 20 units  

The area of triangle PQR = 1/2 x 28.28 x 20

= 282.8

Area of rectangle = PQ x PS

Area = 100√3

The angle PRS is 30°                                

The sum of interior angle of a triangle.

sin30° = PS/PR

1/2 x 20 = PS

PS= 10 units

The angle PRQ is 60°                                    

By Alternate interior angle

cosine60°=QR/PR

1/2 x 20 = QR

QR= 10 unit

cos QSR = 10/20

cosQSR=1/2

angle QSR = 60°

Thus angle PQS is 30°

tanPQS = 1/√3

PQ= 10√3

Learn more about Area of rectangle from the link below

brainly.com/question/20693059

#SPJ2

The computed mean is 58.8 degrees based on frequency distribution.

To find the mean of the data summarized in the frequency distribution, we first need to find the midpoint of each class interval.

Midpoint of 40-44 = (40 + 44) / 2 = 42
Midpoint of 45-49 = (45 + 49) / 2 = 47
Midpoint of 50-54 = (50 + 54) / 2 = 52
Midpoint of 55-59 = (55 + 59) / 2 = 57
Midpoint of 60-64 = (60 + 64) / 2 = 62

Next, we multiply each midpoint by its corresponding frequency and add up the results.

(2 x 42) + (6 x 47) + (12 x 52) + (7 x 57) + (3 x 62) = 1764

Finally, we divide this sum by the total number of values (which is the sum of the frequencies).

2 + 6 + 12 + 7 + 3 = 30

1764 / 30 = 58.8

The computed mean is 58.8 degrees.

When we compare this to the actual mean of 57.8 degrees, we see that the computed mean is slightly higher. This may be due to the fact that there are more values in the higher end of the distribution (i.e. 50-54 and 55-59) compared to the lower end (i.e. 40-44 and 45-49).

Learn more about mean here:

https://brainly.com/question/17191088

#SPJ11

No, it is not possible to have a simple graph with n vertices, where n is any integer greater than or equal to 5, such that all vertices have different degrees.

In a simple graph, the degree of a vertex refers to the number of edges connected to that vertex. The maximum degree possible in a graph with n vertices is (n-1), which occurs when one vertex is connected to all other vertices.

To create a graph where all vertices have different degrees, we would need to assign a unique degree to each vertex. However, if n is greater than or equal to 5, we cannot assign n unique degrees to n vertices while satisfying the conditions of a simple graph.

To see why, consider the case of n = 5. We need to assign degrees 1, 2, 3, 4, and 5 to the vertices.

The vertex with degree 5 must be connected to all other vertices, leaving us with four remaining degrees (1, 2, 3, and 4) to assign to the remaining four vertices. However, no matter how we distribute these degrees, at least two vertices will have the same degree.

This argument can be extended to any value of n greater than 5. Therefore, it is not possible to construct a simple graph with n vertices where all vertices have different degrees for any integer n ≥ 5.

To know more about simple graph refer here:
https://brainly.com/question/33247524#

#SPJ11

Answer:

  a) f(x) = x(x +4)(x -5)

  b) g(x) = (x -6)(x -2)(x^2 +2x +4)

  c) h(x) = (x +7)(x -3)(x -4)

Step-by-step explanation:

To factor completely generally means to find binomial factors that have integer constants. It is helpful to be familiar with the idea of "greatest common divisor", and what the product of two binomial factors looks like. In particular, there are a couple of special forms that can be useful. One of them is the difference of squares. Another is the difference of cubes.

  a² -b² = (a -b)(a +b)

  a³ -b³ = (a -b)(a² +ab +b²)

In the general case, the product of binomial factors is ...

  (x -a)(x -b) = x² -(a+b)x +ab

The coefficient of the x-terms is the sum of the binomial constants; the constant term is their product.

__

The given cubic has no constant term. That is, every term has a factor of x, so that is one of the factors.

  f(x) = (x)(x^2 -x -20)

The given factor of x+4 tells you the constant in the other factor is -20/4 = -5.

  f(x) = x(x +4)(x -5)

__

We observe that the ratios of pairs of coefficients are ...

  1 : -6 and -8 : 48 = 1 : -6 . . . . . pairs of coefficients have the same ratio

That means we can factor each pair of terms:

  g(x) = x^4 -6x^3 -8x +48

  g(x) = x^3(x -6) -8(x -6) = (x^3 -8)(x -6)

Using the difference of cubes formula, the factorization is ...

  g(x) = (x -2)(x^2 +2x +4)(x -6)

Note: the quadratic factor has irrational complex roots.

__

The quadratic factor of this cubic can be found by dividing it by the given factor. That is most easily accomplished using synthetic division. Explaining how to do that is beyond the scope of this answer. The first attachment shows that the resulting factorization is ...

  h(x) = (x +7)(x^2 -7x +12)

The quadratic is factored by finding two factors of 12 that have a sum of -7. The positive sign of their product (12) tells you both will be negative.

  12 = (-1)(-12) = (-2)(-6) = (-3)(-4)

The pair of factors with a sum of -7 is -3 and -4. These are the constants in the remaining binomial factors:

  h(x) = (x +7)(x -3)(x -4)

_____

Additional comment

A graphing calculator can be an invaluable tool for factoring higher-degree polynomials. The graph of h(x) in the second attachment, for example, shows you the zeros are -7, 3, 4, so the factors are (x+7)(x-3)(x-4).

For a function like g(x), you can find the real zeros from the graph, then you can find the quadratic by factoring out the associated factors. The vertex of the quadratic curve helps you write the expression for that. (see the third attachment)

  g(x) = (x -2)(x -6)((x +1)^2 +3) . . . . quadratic factor in vertex form

  g(x) = (x -2)(x -6)(x^2 +2x +4)

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

Answer:

A ray is a a part of a line but a line segment is a line that connects two points

Step-by-step explanation:

A ray has one point at one end and an arrow that goes on forever, Though segments have 2 end points and do not go on forever.

"The angles formed by the lines that meet at each base are 90 degree angles and the distance between each base is the same."

was this your explanation? if so I think that it defines exactly the image shown on the quiz.

(0, -5) and (2, -8.75)

Given the function expressed as:

We are to find two other coordinates other than the vertex and x-intercept. Note that the equation of a parabola in vertex form is expressed as:

Another coordinate point is the y-intercept of the graph. The y-intercept occurs at the point where x = 0.

Substitute x = 0 into the given function;

Hence the y-intercept of the graph is (0, -5)

The other coordinate of the function we can determine is the FOCUS.

The coordinates for the focus of the parabola is given as (h, k+1/4a).

where:

• a is the intercept

• (h, k) is the vertex

Comparing the given function with the general function, we can see that:

a = 1

h = 2

k = -9

Substitute these values into the coordinate of the focus will give:

Therefore the other two points on the graph are (0, -5) and (2, -8.75)

Answer:

3    

1 $ left over

Step-by-step explanation:

                                 10$

         wood              wood                wood  

           3$                      3$                    3$

          she wood only buy 3 and have 1$ left