1. Nicole purchased new lawn furniture for $279.90. She used a coupon to
get a 15% discount. What was the final purchase price, excluding sales tax
of the lawn furniture?

The inequality that represents this graph is y < 2x + 2.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted line represents strictly less than or greater than.

From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.

∴ The inequality that represents this graph is y < 2x + 2.

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Answer:

Sjjsjsdjjdjsjshsskeidbndxkxuxhsnsndhdhsksms

Answer:

11

Step-by-step explanation:

just flip the problem around 14+q=25

then do 25-14

Thats your Q

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

its a because 5 (2) (6.25)+2.5t has to at least equal 85.

Answer:

A- 5 (2) (6.25) + 2.5 t less-than-or-equal-to 85

Step-by-step explanation:

e d g e n u i t y    u n i t  t e s t

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

From the question, we have the following parameters that can be used in our computation:

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Answer:

$514 give or take.  I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.

Step-by-step explanation:

The simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same and they have an infinite number of solutions that satisfy both equations.

A system of simultaneous equations is called dependent if it has infinitely many solutions. In other words, one equation in the system can be obtained by adding or subtracting multiples of the other equation(s), or if all the equations represent the same line or plane in higher dimension.

We can write the equations as:

2x + y = 6...(1)

x + y/2 = 3...(2)

equation (2) can be rewritten as follows:

(2x + y)/2 = 3 {simplifying the left hand side to a single denominator}

2x + y = 2 × 3 {cross multiplication}

2x + y = 6

We can observe that equations (1) and (2) are the same. Any value of x and y that satisfies the equation 2x + y = 6 will also satisfy the second equation, x + y/2 = 3.

In conclusion, the simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same, hence they have an infinite number of solutions that satisfy both equations.

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Answer:

The best buy is the 16-ounce drink

Step-by-step explanation:

here, we see that,

12 ounce = 3/4 (16 ounce)

So, the price should reflect that,

i.e,

price of 12 ounce drink = 3/4 (price of 16 ounce drink)

By this metric,

Price of 12 ounce drink = 3/4 ( 1.19)

Price of 12 ounce drink = $0.8925

So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,

So, it is more expensive than it should be,

So, the best buy is the 16-ounce drink

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: It has to be A

Step-by-step explanation: It's the only statement that makes sense.

Answer:

\(640 \: {ft}^{3} \)

Step-by-step explanation:

First, we have to find the area of the base:

a (base) = 8 × 10 = 80 ft^2

Now, since we know that the altitude (h) of the prism is 8 ft, we can find the volume:

\(v = a(base) \times h = 80 \times 8 = 640 \: {ft}^{3} \)

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

The function  y = x⁴ + 7 is decreasing on (-∞ , 0) and increasing on (0 , ∞) .

In the question ,

it is given that ,

the function is y = x⁴ + 7 ,

we have to show that function y  is decreasing on (-∞ , 0) and increasing on (0 , ∞) .

differentiating the function y = x⁴ + 7 , with respect to x ,

we get ,

y'(x) = d/dx(x⁴ + 7) = 4x³

putting y'(x) = 0 , then 4x³ = 0 ;

x³ = 0 that means , x = 0 .

thus , the critical number is ⇒ x = 0 .

y'(-1) = 4(-1)³ = -4   So , it is decreasing

y'(1) = 4(1)³ = 4    So , it is increasing .

Therefore , the function y is decreasing in (-∞ , 0) and increasing in (0 , ∞) .

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The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\)  . Thus, option D is correct.

To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:

The distance between \((5, 6)\) and  \((9, 6)\) is \(4\) units.

The distance between \((5, 6)\) and \((5, 3)\)   is \(3\) units.

The distance between  \((9, 6)\) and  \((5, 3)\) is \(5\) units.

Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).

However, only  \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from   \((5, 6)\) and  \(4\) units away from (9, 6), forming a right angle with both.

Therefore, the correct answer is  \((9, 3)\).

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Answer:

Slope = 1/5

Step-by-step explanation:

Given equation,

→ -x + 5y = 10

The slope-intercept form,

→ y = mx + b

→ slope = m

Now the slope-intercept form is,

→ -x + 5y = 10

→ 5y = x + 10

→ y = (x + 10)/5

→ [ y = (1/5)x + 2 ]

Then the required slope will be,

→ y = (1/5)x + 2

→ Slope = m = 1/5

Hence, the required slope is 1/5.

Answer:

\(\textsf{Slope}=\dfrac{1}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(-x+5y=10\)

To find the slope of the given equation, use algebraic operations to isolate y.

Add x to both sides of the equation:

\(\implies -x+5y+x=10+x\)

\(\implies 5y=x+10\)

Divide both sides of the equation by 5:

\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)

\(\implies y=\dfrac{1}{5}x+2\)

The coefficient of x is the slope of the equation.

Therefore, the slope of the given equation is ¹/₅.

Answer:

25%

Step-by-step explanation:

Multiply the two probabilities.

P(heads)*P(even) = 1/2*1/2 = 1/4

1/4 = 25%

Answer: x=35

Step-by-step explanation:

Given

Andrew thought he could score 25 points on an arcade game but he only scored 17.

To find:

What was Andrew's percent error?

Explanation:

It is given that,

Andrew thought he could score 25 points on an arcade game but he only scored 17.

Then, Andrew's percent error is,

Hence, Andrew's percent error is 47%.

Answer:

dont know

Step-by-step explanation:

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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The linear system of equations to represent the given scenario is 5 x + 2 y = 31 and 3 x + 5 y = 30. Therefore, option D is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, Fiona and Iliana went to a going-out-of-business sale at a local video store.

Let the cost of each HD videos be x and the cost of each classic videos be y.

Fiona bought 5 HD videos and 2 classic videos for $31.

5x+2y=31 ------(I)

Iliana bought 5 classic videos and 3 HD videos for $30.

3x+5y=30 ------(II)

Multiply equation (I) by 5, we get 25x+10y=155 ------(III)

Multiply equation (II) by 2, we get 6x+10y=60 ------(IV)

Subtract equation (IV) from equation (III), we get

25x-6x=155-60

19x=95

x=5

Substitute x=5 in equation (I) we get

25+2y=31

2y=6

y=3

So, solution is (5, 3)

Therefore, option D is the correct answer.

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Answer:

129 cubic inches

Step-by-step explanation:

lxwxh L=Length W=Width H= Height

Length times width times height gives you the volume

1. convert all numbers to inches

2. Multiply them together(order does not matter)