Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.


Please hurry I need this answer ASAP

Answer:

A.   \(\frac{x^2-3x+6}{x^2 - 2x}\)

Step-by-step explanation:

1. Move all of numerators above the corresponding common denominator

2. Multiply inside the parentheses then remove any remaining parenthesis to get your final answer to get your fraction.

Answer:

\( \dfrac{x^2 - 3x + 6}{x^2 - 2x} \)

Step-by-step explanation:

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

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

\( = \dfrac{x^2}(x - 2)} - \dfrac{3x - 6}{(x - 2)(x)} \)

\( = \dfrac{x^2 - (3x - 6)}{x^2 - 2x} \)

\( = \dfrac{x^2 - 3x + 6}{x^2 - 2x} \)

Answer:

wut the actual fu q docu FM HD so

The area of the polygon is 696

A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.

The area of a polygon is is expressed as

A = 1/2 × p × a

where p is the perimeter and a is the apothem

perimeter = n × s

where n is the number of side and s is the side length.

P = 8 × 12 = 96

A = 1/2 × 96 × 14.5

A = 1392/2

A = 696

Therefore the area of the polygon is 696

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Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:

The correct answer is Option C.

Step-by-step explanation:

Let's take a closer look at the diagram of the force:

We can decompose this force as:

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{d}\\ o=\stackrel{opposite}{15} \end{cases} \\\\\\ d=\sqrt{ 17^2 - 15^2}\implies d=\sqrt{ 289 - 225 } \implies d=\sqrt{ 64 }\implies d=8 \\\\\\ \stackrel{\textit{radius is half the diameter}}{r=\cfrac{8}{2}}\implies r=4 \\\\[-0.35em] ~\dotfill\)

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=15 \end{cases}\implies V=\pi (4)^2(15)\implies V\approx 754~cm^3\)

Answer:127.50

Step-by-step explanation:

it’s that you’ll see

Bo will have to pay $94.50 per year for insurance.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Bo's apartment is located in the city suburbs and the value of his belongings is $15,000.

From the table,

The area rating for city suburbs and wood building contents is 0.63.

The insurance premium per $100 of coverage is $0.63.

To calculate the total premium, we need to divide the value of Bo's belongings by $100 and multiply the result by the premium per $100 of coverage:

Premium = (Value of Belongings ÷ $100) x Premium per $100 of Coverage

Premium = (15,000 ÷ 100) x 0.63

Premium = 94.5

Therefore,

Bo will have to pay $94.50 per year for insurance.

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Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

300 pound you know because 500 -200

ez

Step-by-step explanation:

Answer:

Any line with slope -1/(-1/3)=3.

Step-by-step explanation:

If a line l has slope m, any line perpendicular to l will have slope equal to -1/m.

Answer: line EF

Step-by-step explanation:

Did it in edg

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

Length is 14

Width is 6

Step-by-step explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W  now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14

The monthly deposit that is required to achieve the desired monthly yield at retirement is $1,056.71.

An annuity is a series of payment that is made over a period of time. The annuity in this question would last for 25 years. When an investment is compounded monthly, it means that the investment would grow at an exponential rate once in a month.

The formula that would be used to determine the monthly payment is:

Monthly payment = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$610,823.48 ÷ [{(1.004^300) - 1} / 0.004] = $1,056.71

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Answer:

Renu is 30.

Step-by-step explanation:

Suman is 15, Renu is 30, and Anita is 24.

15 + 30 + 24 is 69.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The answer is most people.

Hence, The answer is most people.

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Answer:

a = 1350 cm^2  

Step-by-step explanation:

the longest side would be 45

3x = 45

x = 15

2x = 30

Area = 2x * 3x

a = = 30 * 45

a = 1350 cm^2  

The point representing 0 on the real number line is the origin.

A number line is a visual representation of a set of real numbers. It is a straight line that is usually represented horizontally and it has a starting point, usually labeled as 0, which is called the origin.

Numbers to the right of the origin are positive, and numbers to the left of the origin are negative. The numbers on a number line are evenly spaced, and each point on the line represents a specific real number.

Number lines are useful in mathematics to represent numerical relationships, such as order, magnitude, and distance between numbers. They are also useful in teaching mathematical concepts, such as addition, subtraction, and fractions.

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Answer:

1. x=6

2. x=2

Step-by-step explanation:

2:6

x:18

From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.

x=6.

5:7

(x+3):7

For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.

x=2

Answer:

82° because

98° + 70° = 168°

360° - 168° = 192°

192° is for two angles, so it can't be 192°, 220°

it's not VERY obtuse angle. So it remains only 82°

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

Step-by-step explanation:

Answer= (2,6)

">" means greater than..

y-x >-3 so in this case you would plug in y= 6, and x=2

6-2=4 and 4 is greater than -3. :)

The other answers give negative numbers of -3, and -4 which aren't greater than -3.

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