Clark buys 2 gallons of paint for $ 16.39. What is the cost per pint of paint? Round your answer to the nearest cent if necessary .

Answer:

   Trevor has 16 number of shirts

Step-by-step explanation:

We have been given that Trevor and Marisa together have 28 t shirts to sell if Marissa has 4 fewer t shirts than Trevor

let the number of shirts Trevor have be x

And since, Marissa has 4 fewer than Trevor so number of shirts Marissa will have be x-4

Hence, according to question equation becomes:

x+x-4=28

We will solve for x to find the number of t shirts  Trevor has

2x -4 =28

2x = 32

x =16

Hence, Trevor has 16 number of shirts

Answer:

10^14

Step-by-step explanation:

  Number of bacteria  For 10^2 hours =  10^13

  Number of bacteria for 1 hour =   10^13/10^2 =  10^11

 Number of bacteria for 10^3 hours = 10^11 x 10^3 =  10^ (11+3) = 10^14

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. x ≤ 5 ≤ 8 then x + 5 > 8 → x > 8 - 5 → x > 3 therefore 3 < x ≤ 5.

2. 5 ≤ x ≤ 8 then 5 + x > 8 → x > 3 therefore 5 ≤ x ≤ 8

3. 5 ≤ 8 ≤ x then 5 + 8 > x → 13 > x → x < 13 therefore 8 ≤ x < 13.

Answer:

3 < x < 13

Step-by-step explanation:

Since, a triangle is possible when the sum of any two sides is greater than the third side,

Given,

The sides of the triangle are 5 inches and 8 inches,

If x shows the third side,

Then, by the above statement,

x < 5 + 8 ⇒ x < 13

5 < x + 8 ⇒ -3 < x

8 < x + 5 ⇒ 3 < x

Hence, the required inequality gives the range of possible values for x  is,

3 < x < 13

Answer:

Correct choice is D

Step-by-step explanation:

Let h represent the number of horses. If there are 2 more horses than cows in a field,  then (h-2) represent the number of cows. In total there are h+(h-2) animals. It is known that there are 16 animals in the field in all, then

h+h-2=16,

2h-2=16.

Real world examples of proportional and non-proportional relationships can be observed in the relationship between the distance a car travels and the fuel consumed (proportional), and in an employee's pay scale (non-proportional).

In the real world, one can identify numerous examples related to proportional and non-proportional relationships. For instance, consider the relationship between distance and fuel consumption in a car. Here, a car maintains a set distance per gallon ratio, which is a proportional relationship - if distance doubles, fuel consumed also doubles.

Contrasting this, the pay scale in many workplaces may illustrate a non-proportional relationship. For instance, if an employee works overtime, he/she may earn a higher rate, different from their regular hourly wage. In this case, a doubling of hours worked does not necessarily equate to a doubling of the total salary.

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Answer:

$5.00

Step-by-step explanation:

Dividend Per Share = Total Dividends Paid / Shares Outstanding

How many shares outstanding?

Preferred stock + common stock

80,000+40000=120000

Dividend Per Share =  $600,000.00 /120000

                                    =$5.00

The preferred shareholder gets 1.95 per share plus dividends.

The common shareholder only gets dividends.

Answer:

$3.60

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-8,0)\qquad B(-3,5)\qquad \qquad \stackrel{\textit{ratio from 2 to 3}}{2:3} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-8,0)=2(-3,5)\\\\[-0.35em] ~\dotfill\\\\ P=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf P=\left(\cfrac{(3\cdot -8)+(2\cdot -3)}{2+3}\quad ,\quad \cfrac{(3\cdot 0)+(2\cdot 5)}{2+3}\right) \\\\\\ P=\left(\cfrac{-24-6}{5}~,~\cfrac{0+10}{5} \right)\implies P=(-6~,~2)[/tex]

Answer:

Each of the legs of isosceles right triangle is 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Watch the attached figure for the isosceles right angled triangle

Looking at the figure we see that AB=5√6 and BC=CA

According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.

1) Applying the Pythagorean theorem to the isosceles right triangle, we have

[tex]BC^{2} + CA^{2} = AB^{2}[/tex]

2) Let BC=a and CA=a as they both are equal

So,

[tex]a^{2} + a^{2} = (5\sqrt{6} )^{2}[/tex]

=> [tex]2a^{2} = (5\sqrt{6} )(5\sqrt{6} )[/tex]

=> [tex]2a^{2} = 5*5*\sqrt{6}*\sqrt{6}[/tex]

=> [tex]2a^{2} = 25*6[/tex] (since √6*√6 = (√6)²= 6)

=> [tex]2a^{2} = 150[/tex]

3) Dividing both sides by 2, we get

[tex]\frac{2a^{2} }{2} =\frac{150}{2}[/tex]

4) Cancelling out the 2's on the left, we get

[tex]a^{2}[/tex] = 75

5) Taking the square root on both sides, we have

[tex]\sqrt{a^{2}} = \sqrt{75}[/tex]

=> a = 5[tex]\sqrt{3}[/tex]

So,

Each of the legs of isosceles right triangle is 5[tex]\sqrt{3}[/tex]

Answer:

Hi :) if you're coming from heritage and/or your answer needs a 2 in it, it would be 6 sqrt 2

Step-by-step explanation:

Answer:

13188

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Gross taxable Income = $ 1,166

Rate of Income tax = 30%

Amount of income tax = 30 % of 1,166

                                     = [tex]\frac{30*1166}{100}[/tex]

                                     =$339.6

                                      ≅$340

Answer:

$340

Step-by-step explanation:

To change a cell color in a spreadsheet program, one should select the Fill drop-down menu, found in the Home tab, to choose and apply a new color to the cell.

When you want to change a cell color in a spreadsheet program such as Microsoft Excel, you should select the A) Fill drop-down menu. This is the option that allows you to change the background color of a cell. You can typically find the Fill drop-down menu in the Home tab of the ribbon at the top of your spreadsheet application. To change a cell's color, you simply click on the cell you want to format, then go to the Home tab, click the Fill drop-down menu, and choose the color you wish to apply.

Answer: 4

Step-by-step explanation:

√x imaginary if and only if x < 0

√(x-5) imaginary ifi x-5 < 0

x<5

4 is the largest integer < 5.

Answer: It is 4

Step-by-step explanation: I got it correct on mines.

Answer:

B) 0.85M

Step-by-step explanation:

The new fare schedule is the current fare schedule reduced by 15% of current fares:

... M - 0.15M = 0.85M

Answer:

See below

Step-by-step explanation:

For a parallelogram m < A = m < C so:-

75 + 5x = 87 + 3x

2x = 12

x = 6  

and m< A = 75 + 30 = 105

and m < C = 87 + 18 = 105

Now if the other 2 angles are  = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.

m < B = m < D

111 - 6x = 39 + 6x

-12x = -72

x = 6

m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75

So this has been proved.

To prove that quadrilateral ABCD is a parallelogram, solve for x to find the values that make the opposite angles congruent. Plug in the values of x to find the measures of the opposite angle pairs. None of the given answer choices are correct.

To prove that quadrilateral ABCD is a parallelogram, we need to show that both pairs of opposite angles are congruent. We are given the measures of the angles using variable expressions. We can set the expressions for opposite angles equal to each other and solve for x to find the values of x that make the opposite angles congruent. Finally, we plug in the values of x to find the measures of the opposite angle pairs.

Since the opposite angles are not congruent, we cannot conclude that quadrilateral ABCD is a parallelogram. Therefore, none of the given answer choices (A) 95°, 85°, (B) 105°, 75°, (C) 115°, 65°, or (D) 125°, 55°, are correct.

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Answer:

5/13

Step-by-step explanation:

sine W = sine 50 degrees = opposite /hypotenuse

= 10/26

= 5/13

Final answer:

The sine of angle W in the right triangle is the ratio of the side opposite to angle W (24 units) to the hypotenuse (26 units). Therefore, the sine of angle W is 12/13(option D).

Explanation:

The problem describes a right triangle with sides of length 26 units, 24 units, and 10 units, and it asks for the sine of angle W, which is known to be 50 degrees. In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the angle over the length of the hypotenuse. Thus, to find the sine of angle W, we need the opposite side to angle W, which is WD measuring 24 units, and the hypotenuse RW, measuring 26 units.

The sine of angle W is calculated by the formula

sine of angle W = WD\RW

24\26  

12\13

Answer:

the correct answer is -11v7

Step-by-step explanation:

The correct expression that is equal to (2√28 - 5√63) is;

Option D; -11√7

The correct question is;

Which expression is equal to 2√28 - 5√63

The correct options are in the link at the end of this answer.

The given expression is in surd form. To solve it, we first have to break down the numbers inside the square roots into a product of two numbers with one of the numbers being a perfect square.

We know that;

28 can be expressed as 7 × 4 = 28

Also; 63 can be expressed as 7 × 9 = 63

Thus;

2√28 - 5√63 will be written as; 2√(7 × 4)  - 5√(9 × 7)

From product law of surds, we know that;

√(a × b) = √a × √b

Thus, our expression is;

2(√4 × √7) - 5(√9 × √7)

⇒ 2(2√7) - 5(3√7)

⇒ 4√7 - 15√7

Factorize √7 out to get;

(4 - 15)√7

⇒ -11√7

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Answer:

[tex] \dfrac{49}{4} = 12.25 [/tex]

Step-by-step explanation:

[tex] 4^{x-1} = [/tex]

[tex] = (2^2)^{x - 1} [/tex]

[tex] = 2^{2(x - 1)} [/tex]

[tex] = 2^{2x - 2} [/tex]

[tex] = 2^{x + x - 2} [/tex]

[tex] = 2^x \times 2^x \times 2^{-2} [/tex]

[tex] = 7 \times 7 \times \dfrac{1}{2^2} [/tex]

[tex] = \dfrac{49}{4} = 12.25 [/tex]

Answer:

C.) 413 cm^2

Step-by-step explanation:

To figure out the area of a square, much like a rectangle we multiply length × width.  In this case because the length and width are the same (definition of a square) then it's simply [tex]s^2[/tex] and 8 inches is 20.32 cm (8x2.54):

[tex]s^2=20.32^2=412.90 \approx 413[/tex]

a.) 413 cm^2

Answer:

41 sq cm is the answer

Step-by-step explanation:

Look at the picture.

[tex]r=\sqrt{x^2+y^2}-\text{from the Pythagorean theorem}\\\\\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}[/tex]

We have the point

[tex](4,\ -8)\to x=4,\ y=-8[/tex]

Calculate r:

[tex]r=\sqrt{4^2+(-8)^2}=\sqrt{16+64}=\sqrt{80}=\sqrt{16\cdot5}=\sqrt{16}\cdot\sqrt5=4\sqrt5[/tex]

Substitute:

[tex]\cos\theta=\dfrac{4}{4\sqrt5}=\dfrac{1}{\sqrt5}\to\boxed{C)}[/tex]

Answer: Probability of randomly selecting a member who likes to cook or likes to sew = 58%

Step-by-step explanation:

Since we have given that

Probability of a randomly selecting a member who likes to cook=P(C) = 42%

Probability of a randomly selecting a member who likes to sew =P(S)= 23%

Probability of a randomly selecting a member who likes to both cook and sew

[tex]P(C\cap S)=7\%[/tex]

As we know the "Probability rules " :

[tex]P(C\cup S)=P(C)+P(S)-P(S\cap C)\\\\P(C\cup S)=42+23-7\\\\P(C\cup S)=58[/tex]

So, Probability of randomly selecting a member who likes to cook or likes to sew = 58%

Answer:

58%

Step-by-step explanation:

Answer:

$1,093,026

Step-by-step explanation:

We have been given that real estate values in a town are increasing at a rate of 14% per year.  Mrs. Knoxville purchased a building for $590,000 in 2012.

We are told that real estate values are increasing at a rate of 14%, this means that values of real estates are increasing exponentially.

Since we know that an exponential function is in form: [tex]y=a*b^x[/tex]; for growth b=(1+r), where r= growth rate in decimal form.

a= Initial value.

Let E(t) be value of real estates t years after 2012. Now let us substitute our given values in exponential function form.

Upon converting our increase rate to decimal form we will get,

[tex]14\text{ percent}=\frac{14}{100}=0.14[/tex]

[tex]E(t)=590,000*(1+0.14)^t[/tex]

[tex]E(t)=590,000*(1.14)^t[/tex]

Now let us substitute the value for building in 2020 by substituting t=8 as 2020-2012=8.

[tex]E(2020)=590,000*(1.14)^8[/tex]

[tex]E(2020)=590,000*2.8525864220672256[/tex]

[tex]E(2020)=1,683,025.989019663104\approx 1,683,026[/tex]

Now let us subtract 590,000 from 1683026 to find the amount that Mrs. Knoxville can get from selling the building.

1,683,026-590,000=1,093,026

Therefore, Mrs. Knoxville can get $1,093,026 from selling the building.

Answer:

2A/h - b1 =  b2

Step-by-step explanation:

A = 1/2 h ( b1+b2)  

We want to solve for b2

Multiply each side by 2

2A = 2* 1/2 h ( b1+b2)  

2A =  h ( b1+b2)  

Divide each side by h

2A / h =  h/h ( b1+b2)  

2A / h =   b1+b2

Subtract b1 from each side

2A/h - b1 = b1 + b2 -b1

2A/h - b1 =  b2

Answer:

The kitchen requires 288 sq. ft. of tile

The master bathroom requires 180 sq. ft. of tile

In total, we will spend $1170

Step-by-step explanation:

The area of the kitchen is length * width:

Area of Kitchen = [tex]18*16=288[/tex] sq. ft.

The area of the master bathroom is length * width:

Area of Master Bathroom = [tex]12*15=180[/tex] sq. ft.

The kitchen requires 288 sq. ft. of tile

The master bathroom requires 180 sq. ft. of tile

In total, we require [tex]288+180=468[/tex] sq. ft. of tiles. If $2.50 is charged per square feet, in total we will spend:

[tex]468*2.5=1170[/tex] dollars

You'll need 288 square feet of tile for the kitchen, 180 square feet for the bathroom, and the total cost for the tile will be $1170.

To calculate the amount of tile needed for the kitchen and the master bathroom, you first need to determine the area of each room. Area is calculated by multiplying the length by the width of the room.

For the kitchen:

Length = 18 feet

Width = 16 feet

Area = Length x Width = 18 ft x 16 ft = 288 square feet

For the master bathroom:

Length = 15 feet

Width = 12 feet

Area = Length x Width = 15 ft x 12 ft = 180 square feet

To calculate the total cost of the tile:

Cost per square foot = $2.50

Total area = Area of kitchen + Area of bathroom = 288 sq ft + 180 sq ft = 468 square feet

Total cost = Total area x Cost per square foot = 468 sq ft x $2.50 = $1170

Answer:

The number of wreaths Alaina sells is 9 .

Step-by-step explanation:

As given

Alaina is selling wreaths and poinsettias for her chorus fundraiser.

Wreaths cost $27 each poinsettia cost $20 each.

If she sold 15 poinsettias and made $543.

Let us assume that the number of wreaths Alaina sells = x

As the number of poinsettias  Alaina sells = 15

Than the equation becomes

27x + 15 × 20 = 543

27x + 300 = 543

27x  = 543 - 300

27x  = 243

[tex]x = \frac{243}{27}[/tex]

x = 9

Therefore the number of wreaths Alaina sells is 9 .

Alaina sold 9 wreaths. After calculating the revenue from poinsettias ($300), the remaining amount ($243) was divided by the cost of one wreath ($27) to find the number of wreaths sold.

To determine how many wreaths Alaina sold, we first need to calculate the total revenue from selling 15 poinsettias. Since each poinsettia costs $20, we multiply 15 by $20:

Now, subtract the total revenue from poinsettias from the total amount made:

This remaining amount must be from the sale of wreaths. Since each wreath costs $27, we divide $243 by the cost of one wreath:

Therefore, Alaina sold 9 wreaths.

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A=    1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

Answer:

C.  5x^2 − 2x − 24 = 0

Step-by-step explanation:

Answer:

the answer is C. 31 units

I just did the assignment

The length of segment AD be for the quadrilateral to be a parallelogram is 8 units. Therefore, option A is the correct answer.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

In quadrilateral ABCD, AD║BC.

Here, AD=BC

3x+7=5x-9

2x=16

x=8

Therefore, option A is the correct answer.

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Since [tex]100=(\pm10)^2[/tex], the idea here is to find [tex]b[/tex] such that

[tex](x\pm10)^2=x^2+bx+100[/tex]

Expanding the left side completely, we find two possibilities:

[tex]x^2\pm20x+100[/tex]

so that [tex]b[/tex] can be either positive or negative 20.

The answer will be ±20

Let us consider a binomial (x ± a)

now squaring it we get      [tex]x^{2}[/tex] ± 2ax + [tex]a^{2}[/tex]

If we compare it to the question we get  [tex]a^{2} =[/tex] 100

                                                                 ⇒ a = ±10

According to the question we have to find the value of  2a

                            2a = 2×(±10) = ±20

Hence ±20 is the answer.

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Answer:

Interest income in the month =  $12.28

Final balance = 2612.28

Step-by-step explanation:

The initial amount of $1800 remains in the account for the first 12 days of July. Then:

Interest earned = [tex]\frac{1800 * 0.073 * 12}{365} = 4.32[/tex]

Withdrawal = 400  

New balance =  1800 - 400 = 1400

The amount 1400 remains in the account for 8 days. Then:

Interest Earned =  [tex]\frac{1400 * 0.073 * 8}{365} = 2.24[/tex]

Deposit =  1200

New balance =  1400 + 1200 = 2600

The amount 2600 remains in the account for 11 days. Then:

Interest Earned =  [tex]\frac{2600 * 0.073 * 11}{365} = 5.72[/tex]

Balance =  2600 + 4.32 + 2.24 + 5.72 = 2612.28

Interest income in the month = 4.32 + 2.24 + 5.72 = $12.28