How much pizza will each person get if 4 people share 3 4 of a pizza equally? A) 1 3 B) 1 4 C) 1 6 D) 3 16

Answer:

9 balloons per student and 27 per group of 3 students.

Step-by-step explanation:

We have 6 groups of students with 3 students in each group. This means in group 1 there is 3. Groups 2 has 3. Group 3 has 3. Group 4 has 3. Group 5 has 3. Group 6 has 3.

So there are 3+3+3+3+3+3=18 total students.

The school carnival has 162 balloons, how much will each student have?

We will divide 162 balloons by the total number of 18.

162/18=9

9 balloons per student and 27 per group of 3 students.

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: 11 and 6

Step-by-step explanation:

I think this is it because she is 5 years younger and last year she was half of his age so he was 10 then you have to add another year to their age because that was last year, 5+1=6, 10+1=11. but im not completely sure so if you can wait for someone else or if you agree go ahead and answer it.

We'll call the ages n and s

Nancy is 5 yrs younger than her brother Stan

n = s - 5

Last year she was half as old as he was

n - 1 = (1/2) ( s - 1 )

We substitute for n

s - 5 - 1 = (1/2) (s - 1)

2s - 12 = s - 1

s = 11

n = s - 5 = 6

Answer: Nancy is 6, Stan is 11

Check:

Clearly they're five years apart.  Last year they were 5 and 10, half, good.

Answer:

Length of the floor is about 11.75 feet.

Step-by-step explanation:

It is given that, it takes 12.5 tiles to cover the length of the floor.

The length of each square tile is 11.25 inches. So, if 12.5 tiles each of length 11.25 inches are joined, we will get to know the length of the floor.

So, the length of the floor is,

[tex]11.25 \times 12.5[/tex]

[tex]=140.625 \text {in}[/tex]

So the length of the floor is 140.625 inches or we can say roughly about 141 inches.

We can convert this length into feet.

1 feet = 12 inches, so the length of the floor in inches is,

[tex]\frac{141}{12} =11.75 \text {ft}[/tex]

So the length of the floor is 11.75 feet.

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.

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:

no

Step-by-step explanation:

SAS stands for side angle side. so in this question we know that one side is equal to another side, but we don't know wether or not there is another angle and another side that is congruent. so for that reason it is not congruent by SAS.

[tex]h(x+5)=3x+18\\\\h(x)=mx+b\to h(x+5)=m(x+5)+b=mx+5m+b\\\\\text{Therefore we have}\ m=3\ \text{and}\\\\5m+b=18\to5(3)+b=18\\\\15+b=18\qquad\text{subtract 15 from both sides}\\\\b=3\\\\Answer:\ \boxed{h(x)=3x+3}[/tex]

To find the function h(x) when given h(x+5)=3x+18, we substitute x with (x-5) in 3x+18 to make h(x) = 3x+3.

To find the function h(x), we need to replace (x+5) in the equation with x. The given equation is h(x+5)=3x+18.

We know that if we substitute x+5 with x in h(x+5), we must also substitute the x in 3x+18 with (x-5) to keep the equation and function consistent.

So, we replace x with (x-5) in 3x+18, and our new equation will be 3(x-5)+18.

This simplifies to 3x - 15 + 18, which further simplifies to 3x+3.

Consequently, the function h(x) = 3x+3.

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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:

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:

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:

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:

9

Step-by-step explanation:

45/5 = 9

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:

$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.

The total value of 2 Apple shares at $54.76 each is $109.52, resulting in a loss of $116.58.

To calculate the total value of your Apple stock now, we'll first determine the total value of your shares at their current price and then compare it to their original total value.

Current price per share: $54.76

Number of shares you own: 2

Total value of your shares now:

= Current price per share × Number of shares

= $54.76 × 2

= $109.52

Original total value of your shares: $226.10

Now, let's compare the current total value with the original total value:

Current total value: $109.52

Original total value: $226.10

As the current total value is less than the original total value, it indicates a loss.

To find out the loss incurred, we subtract the current total value from the original total value:

Loss = Original total value - Current total value

    = $226.10 - $109.52

    = $116.58

Therefore, the total value of your Apple stock now is $109.52, and you have incurred a loss of $116.58.

The total value of your 2 shares of Apple stock now is $109.52.

To determine the total value of your Apple stock now, we first need to calculate the total value of the stock when you first bought it and then compare it to the current value.

1. Initial Total Value: You initially bought 2 shares of Apple stock. Let's denote the initial price per share as P. The total value initially is the product of the number of shares and the initial price per share.

Initial total value = Number of shares * Initial price per share

Initial total value = 2 shares * Initial price per share = $226.10

2. Initial Price per Share: To find the initial price per share, we divide the initial total value by the number of shares.

Initial price per share = Initial total value / Number of shares

Initial price per share = $226.10 / 2 shares = $113.05 per share

3. Current Total Value: Now, we find the current total value of your 2 shares at the current price per share, which is $54.76.

Current total value = Number of shares * Current price per share

Current total value = 2 shares * $54.76 per share = $109.52

So, the total value of your 2 shares of Apple stock now is $109.52.

Answer: No, it is not sufficient to know that opposite sides of the garden plot are congruent and parallel to determine that the garden plot is rectangular.

Step-by-step explanation:

1. You have the following information given in the problem:

- Opposite sides of the garden plot are congruent.

- Opposite sides of the garden plot are parallel.

2. Therefore, keeping the information above on mind, you can conclude that the description is about a parallelogram, but to determine that it is rectangular, you need to know that the four interior angles measure 90° and the diagonals are congruent.

Answer:

B

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:

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:

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:

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

Answer: 4,050, 12,150, 36,450

Step-by-step explanation: multiply each following number by 3

Answer:

4050; 12150; 36450

Step-by-step explanation:

[tex]a_5 = 50.3^4 \\\ a_5 = 4050 \\\ a_6 = 50.3^5 \\\ a_6 = 12150 \\\ a_7 = 50.3^6 \\\ a_7 = 36450[/tex]

I hope I helped you.

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.

Learn more about binomial expansion:

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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:5250.00

Step-by-step explanation: percents are a multiplication so 35,000×15=5250.00

Answer:

$5,250

Step-by-step explanation:

The less must pay a minimum down payment that is equivalent to 15% the sales price of the new car.

Given that the price of the new car is $35,000, the product of 15% with this amount will equal the down payment.

As such, the down payment

= 15% * $35,000

= 0.15 * $35,000

= $5,250