5. Maria writes the expression below.
21 + 3 + 6 + 9 − 3
Which expression could be shown to be equivalent to Maria's expression based on the commutative property of addition?

Answer:

Step-by-step explanation:

ASA requires that both triangles have two angles and the included side to be congruent.

We have one side and an adjacent angle and need the second angle adjacent to the marked side to be congruent as well

It is the ∠BAC of ΔABC and ∠DPF of ΔPDF or simply ∠A and ∠P.

The cost of a senior citizen ticket is $3 and the cost of a child ticket

is $9.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

From the given information the two linear equations in 'x' and 'y' can be formed as,

2x + 8y = 78 and 4x + 8x = 84.

Now, Subtracting equation 1 from equation 2 we'll have,

2x = 6.

x = 3 and hence y = 9.

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Answer:

$0.12

Step-by-step explanation:

0.48(0.75) = 0.36

0.48 - 0.36 = 0.12

Answer:

The answer will bee 6.6666666667 well with nine zeros

Answer:

8.4 inches

Step-by-step explanation:

You divide 1 3/4 by 2 1/2 then multiply by 12

Answer:

dk

Step-by-step explanation:

Answer:

A. The modulus is 5√2.

B. It lies in quadrant 3

Step-by-step explanation:

Given a complex value z = x = iy

The modulus is expressed as;

|z| = √x²+y²

Given the complex number z = -5 - 5i

|z| = √(-5)²+(-5)²

|z| = √25+25

|z| = √50

|z| = √25 * √2

|z| = 5√2

For the argument;

theta = arctan(-5/-5)

theta = arctan 1

theta = 45degrees

since tan is positive in the third quadrant, hence it lies in quadrant 3

First, order up the numbers into order:

2, 3, 3, 5, 6, 8

Next, cut off the ones on each side to get the median.

2, 3, 3, 5, 6, 8

2, 3, 3, 5, 6, 8

Now with this, add the two middle numbers and divide by 2 to find the avg. of them:

3+5 = 8

8/2 = 4 is the Median

Next, split up the number list into the lower section and the higher section, now knowing the Median:

2, 3, 3 Lower

5, 6, 8 Higher

Then, find the Median of each of these sections.

2, 3, 3 Lower Quartile is 3

5, 6, 8 Higher Quartile is 6

Hope that helps.

Answer:

Its an institution

Step-by-step explanation:

A college is not a region, state or country. It is an institution.

Explanation:

The equation y = 5x^2+3x^6-10x-8 is not in standard form.

Why not? Because the term with the largest exponent (6) isn't listed first.

The standard form would be y = 3x^6+5x^2-10x-8; note the exponents decrease (6, 2, 1, then 0).

After the polynomial is in standard form, we can read off the leading coefficient to be 3. This is the coefficient of the first term 3x^6.

Side note: The degree is 6 as it's the largest exponent.

Answer:

1/6

Step-by-step explanation:

There are 6 letters and the spinner lands on one at a time

Manuel was incorrect, because the perimeter of a flower bed is [tex]51\frac{1}{4}[/tex] feet not [tex]25\frac{5}{8}[/tex] feet.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, Manuel says [tex]25\frac{5}{8}[/tex] feet of fencing is enough for a rectangular flower bed that measures [tex]9\frac{7}{8}[/tex] feet by [tex]15\frac{3}{4}[/tex] feet

Here, perimeter =2([tex]9\frac{7}{8}[/tex] +  [tex]15\frac{3}{4}[/tex]) feet

= 2(79/8 + 63/4)

= 2(79/8 + 126/8)

= 2(205/8)

= 410/8

= [tex]51\frac{1}{4}[/tex] feet

Manuel was incorrect, because the perimeter of a flower bed is [tex]51\frac{1}{4}[/tex] feet not [tex]25\frac{5}{8}[/tex] feet.

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Answer:

B

Step-by-step explanation:

5t^2-(3-6t-8t^2)

=5t^2-3+6t+8t^2

=13t2-3+6t

Answer:

[tex]\boxed {\boxed {\sf B. \ 13t^{2} -3+6t}}[/tex]

Step-by-step explanation:

We are given this expression and asked to simplify:

[tex]5t^2-(3-6t-8t^2)[/tex]

First, distribute the -1. Multiply each term in the parentheses by -1 or switch the sign of every term inside the parentheses.

[tex]5t^2+ (-1*3)+(-1*-6t)+(-1*-8t^2)[/tex]

[tex]5t^2+(-3)+(6t)+(8t^2)[/tex]

[tex]5t^2-3+6t+8t^2[/tex]

Next, combine like terms. We see that two terms have a t², so they are like terms. We can add them together.

[tex](5t^2+8t^2)-3+6t[/tex]

[tex]13t^2-3+6t[/tex]

The simplified expression is 13t²-3+6t and Choice B is correct.

The Constraints of the inequality are

x ≤ 2y + 500

22500  < √ 35x + 50y

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

The Company A (x) at most 500 more than twice then unit by B(y).

So, x ≤ 2y + 500

Now, the square of Company Profit will be equal to 35x + 50y

Then, the constraints will be

1. x ≤ 2y + 500

2. Company Profit² < 35x + 50y

Company Profit < √ 35x + 50y

22500  < √ 35x + 50y

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Answer:

69

Step-by-step explanation:

Answer: William Wordsworth, a prominent figure in the Romantic movement, believed that nature had an immense value and could have a profound impact on the human spirit. In his poem "I Wandered Lonely as a Cloud," he wrote, "Nature never did betray the heart that loved her," which is a claim that nature is a constant source of comfort and inspiration. In this poem he praises nature and its ability to be a source of beauty and joy.

One could argue that Wordsworth's claim is true based on the evidence that nature can have a positive impact on mental and physical health. Studies have shown that spending time in nature can reduce stress, improve mood, and boost overall well-being. Additionally, nature can be a source of inspiration for many artists and poets, including Wordsworth himself, who drew inspiration from the natural world for his poetry.

On the other hand, one could argue that Wordsworth's claim is idealistic and may not apply to everyone or every situation. Some people may not find nature as comforting or inspiring, especially those who live in urban areas with limited access to natural spaces. Additionally, there are negative impacts of human activities on nature, such as pollution and deforestation, which can make it harder for some people to find value in nature.

Overall, while Wordsworth's claim that "Nature never did betray the heart that loved her" is a strong statement, and it holds true for many people, but it's a personal perspective that may not apply to everyone. Each individual has their own relationship with nature and it's not always a constant source of comfort, however, it's a treasure that we should take care of, respect and appreciate in order to achieve a better quality of life.

Step-by-step explanation:

Subtracting from both sides leaves you with . Since subtraction can be written as addition (adding the opposite), the addition property of equality. If two expressions are equal to each other and you add the same value to both sides of the equation, the equation will remain equal.

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. ... Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.

The Sides of triangle when only the angles of triangles are given can be found by using the Law Of Sines .

What is Law Of Sines ?

The Law Of Sines states that  the ratio of sides of a triangle and their respective Sine angles are equivalent to each other. The other names by which the law of sines is known  are Sine Law, Sine Rule and Sine Formula.

The Sine Law  is used to find unknown side of an oblique triangle. The oblique triangle is defined as a triangle that is not a right triangle.

Let a , b and c be the sides of a triangle ABC , and A , B and C be the angles .

So , by Sine Law : [tex]\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}[/tex] ;

Therefore , The Law Of Sines help in finding the sides of triangle that has only angles .

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Answer: 486 mm^2

Step-by-step explanation:

Area of parallelogram = base x height

area = 27 x 18 = 486 mm^2

Answer:

it is 486mm

Step-by-step explanation:

i just took the test and this is right. i hope this helps :)

If a company found that raising the price of its muffins resulted in an absolute value of.35 < 1, then the demand for muffins is inelastic.

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Answer:

60 × 40 = 2,400

I hope this helped.

Answer: 2400 people would come in 40 days

Step-by-step explanation:

If 60 people came on 1 day, that is the unit rate

60 to 1

So, just multiply 1 by 40 and 60 by 40

2400 to 40

Therefore, 2400 is the answer

The required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Given expression x + 7,
The expression can be translated as a number increase by 7 or the Addition of the number and 7.

Thus. the required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.

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Answer:

y=-52

Step-by-step explanation:

-5*9=-45

-5*9=-45 +7=

y=-52

Answer:

The 2nd leg.

Explain:

it is that because everything else is present

Answer:

c. 9, 1, 0, 1, 9; Graph A

Step-by-step explanation:

The given equation is presented as follows;

y = x²

The values of 'x' are -3, -1, 0, 1, 3

The range of the values of 'y' are; (-3)² = 9, (-1)² = 1, 0² = 0, 1² = 1, 3² = 9

9, 1, 0, 1, 9

The completed table is presented as follows;

[tex]\begin{array}{cc}x&y\\-3&9\\-1&1\\0&0\\1&1\\3&9\end{array}[/tex]

The values can be extended using the equation to include points, x = -2, y = (-2)² = 4, and x = 2, y = 2² = 4

To give a graph that passes through the point (-2, 4) and (2, 4)

Given that the coefficient of x² is positive, the graph opens up

Therefore, the graph that best represent the equation is c, 9, 1, 0, 1, 9; Graph A On the coordinate plane, a parabola opens up and goes through (-2, 4), has a  vertex at (0, 0), and goes through (2, 4).

Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

help u with  what

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

d= √(5-1)^2+(1-4)^2

d= √4^2+(-3)^2

d= √16+9

d=√25

d=5

Answer:

6,720 inches or 560 feet

Step-by-step explanation:

20 x 14 x 24 = said number above.

Remember volume is just length times width times height.