Olivia buys 4 masks that each cost the same amount and a scarecrow. She spent a total of $176.75. If the scarecrow costs $56.75, write an equation she can use to find the cost of each mask. * 10 points 4m + 56.75 = 176.75 5m + 56.75 = 176.75 4m - 56.75 = 176.75 5m - 56.75 = 176.75

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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Answer:

2 is A, 3 is C

Step-by-step explanation:

Answer:

13.74

Step-by-step explanation:

Answer:

13.74

Step-by-step explanation:

Add 0.4+0.3 = 0.7, so the equation now looks like this: 12.95+0.7+0.09

Add 0.7 + 0.09 = 0.79, so the equation now looks like this: 12.95 + 0.79

Add 12.95 + 0.79, so now you are left with: 13.74

hope this helps, ask me if you need more explanation

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket

Pounds of water = 39

Pounds of brick dust = 48

Total mixture = 87 pounds

Mixture spilled = 13 pounds

Mixture remaining = 87 pounds - 13 pounds

= 74 pounds

Mixture in each brick holes = 7 pounds of mixture

Greatest number of bricks Lynn can make = Mixture remaining ÷ Mixture in each brick holes

= 74 pounds ÷ 7 pounds

= 10 remaining 4 pounds

Therefore,

Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket

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Answer: Greatest number lynn can make is 10 Bricks.

4 pounds will be washed out the bucket.

Step-by-step explanation:

Step-by-step explanation:

ddhdhdhdhdhdddhdshshshhshshhdhhebebeewshehehehjssdjsjdudsshsusjssowossjjjddjdjddjjjs

Let the width be \(w\) inches and the length be \(w+15\) inches.

So, the dimensions of the box are \(w-6\), \(w+9\), and \(3\) inches.

\(3(w-6)(w+9)=1350 \\ \\ (w-6)(w+9)=450 \\ \\ w^2+3w-54=450 \\ \\ w^2+3w-504=0 \\ \\ (w+24)(w-21)=0 \\ \\ w=-24,21\)

Rejecting the negative case, \(w=21\).

So, the dimensions are 21 by 36 inches.

Answer:

The two integers are C, 4 and -3.

Step-by-step explanation:

When you add 4 and -3 you get 1, when you subtract them you get 7.

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Answer:

- 5/6

Step-by-step explanation:

turn it into an improper fraction.

1 and 2/3 = 5/3

2 and 1/2 = 5/2

5/3 - 5/2 = 10/6 - 15/6

= -5/6

Answer:

First you have to change both of the mixed numbers to improper fractions. To do this you would multiply the denominator and the whole number then add the numerator.

1 2/3 = 5/3

-2 1/2 = -5/2

Find the least common denominator (LCM). Add the numerator, and keep the denominator the same.

The LCM for these two fractions would be 6 so to get to six you would multiply 5/3 by 2/2 and -5/2 by 3/3.

5/3 = 10/6

-5/2 = -15/6

Add the numerators (10 + -15 = -5), and keep the denominator the same (6). Therefore, the answer would be -5/6.

Answer:

18q + 27

Step-by-step explanation:

9(2q + 3)

9 x 2q = 18q

9 x 3 = 27

18q + 27

: )

All of the assertions are false. A statistically significant finding does not necessarily imply that the null hypothesis has been proven incorrect, nor does it indicate how likely it is to be true.

Generally speaking, the word "norm" describes something that is customary, typical, anticipated, or standard. Norms are established definitions of beneficial attitudes and actions that ought to be commonplace, or "the norm," whenever a group is working together. They apply to cooperation and collaboration.

When the variances are known and the sample size is large, a z-test is a statistical test that is used to assess whether two population means differ from one another.

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Answer:

5

Step-by-step explanation:

sorry if wrong

The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

We have to given that;

All the expressions are,

⇒ (x+3)(2x-1) / (x+3)

⇒ (3x²+3x) / (4x+5)

⇒ (3x+4√x-7) / (2x+2)

⇒ (2x²-3x³+5) / 5x

Since, A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Hence, We can simplify all the expressions as,

⇒ (x+3)(2x-1) / (x+3)

⇒ (2x - 1)

Hence, It is not a rational expression.

⇒ (3x²+3x) / (4x+5)

⇒ 3x (x + 1) / (4x + 5)

Hence, It is a rational expression.

⇒ (3x+4√x-7) / (2x+2)

⇒ (3x + 4√x - 7) / 2 (x + 1)

Hence, It is a rational expression.

⇒ (2x²-3x³+5) / 5x

Hence, It is a rational expression.

Thus, The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

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Answer:

(0,0)

Step-by-step explanation:

y = 0

2x + 3y = 5x - y  Substitute 0 for y

2x + 3(0) = 5x - 0

3x = 5x  Subtract 3x from both sides

3x -3x = 5x - 3x

0 = 2x  Divide both sides by 2

0 = x

Check

2(0) + 3(0) = 5(0) - 0

0 = 0

Answer:

(0,0)

Step-by-step explanation:

2x + 3y = 5x - y

First, solve for x.

Subtract 2x from both sides.

3y = 5x - 2x - y

3y = 3x - y

Subtract y from both sides.

3y - y = 3x

2y = 3x

Divide both sides by 2.

y = 1.5x

A solution to the equation is given as,

( x , 0 ) ⇒ ( x , y )

Now substitute y with 0 and find the value of x.

0 = 1.5x

divide both sides by 0.

0 = x

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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5

Step-by-step explanation:

5 because if you need them between and they need to be smaller it would be 5

Answer:

The length must be less than 20, and greater than 6.

6 < L < 20

Answer:

The two in the middle are the negatives and the two that are on the sides are positive.

Answer:

The other endpoint is (7, -5)

Step-by-step explanation:

We can use the formula for the midpoint to find the coordinates of the other endpoint of the segment BC:

xm = x1 + (x2 - x1)/2

ym = y1 + (y2 - y1)/2

For our case, replacing the given coordinates and solving for x2 and y2 (the coordinates of the other endpoint) we get:

For x2:

xm = x1 + (x2 - x1)/2

5 = 3 + (x2 - 3)/2

5 - 3 = (x2 - 3)/2

2 = (x2 - 3)/2

4 = x2 - 3

x2 = 4 + 3 = 7

For y2:

ym = y1 + (y2 - y1)/2

-2 = 1 + (y2 - 1)/2

-2 -1 = (y2 - 1)/2

-3 = (y2 - 1)/2

-6 = y2 - 1

y2 = -6 + 1 = -5

Therefore the other endpoint is (7, -5)

A Budget is best defined as a financial plan that estimates how much money you will need to spend to cover your expenses. That is option D.

Budget can be defined as the financial document that is used to show the estimation of intending expenses, and how much would be required to meet such expenditures.

The importance of budget include the following:

Therefore budget is used by companies and business organizations to estimate how much money they will need to spend to cover their expenses.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 1.4\%\to \frac{1.4}{100}\dotfill &0.014\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A = 2000\left(1+\frac{0.014}{12}\right)^{12\cdot 7} \implies A \approx 2205.80\)

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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The values coming in the interval (-3,1] are -2, -1, 0, and 1.

The given interval notation is;

(-3,1], it is the case of half open half close.

-3 comes with the open interval, it means its value will not be included in the interval.

1 is with the closed interval, it means its value will be included in the interval.

Thus, the values lying between the interval (-3, 1] are  -2, -1, 0, and 1.

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Answer:

∠1 = 90°

∠2 = 26°

Step-by-step explanation:

Answer: $272.60

Step-by-step explanation:

9.75x5.4= 52.65

52.65+15.50=68.15

68.15x4=272.6

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)