A. Ella sells flair pens for $2.50 each. How many flair pens, p, does she need to sell to make at least $18
B.Austin has $18. Pencils cost 15 cents each. He buys one pencil. How much money does he have left, p.?
C. Janessa has $18 to spend on lunch. She spent $2.50 on a slice of pizza. How money can she spend on her drink, p?
D. Caleb has $18. Popcorn is $2.50 each. How many bags of popcorn, p, can he buy?​

Answer:

4 teams

Step-by-step explanation:

To evenly distribute 14 into 56, you divide. 56/14 is 4.

Therefore the correct answer is 4 teams.

Hope I helped!!!

Answer:

the blue paints of 1.76 pints is used to paint her bedroom walls

Step-by-step explanation:

Given that

Tara uses 8.8 pints of white paint

And, the 4 by 5 of this amount represent the white paint

We need to find out the number of paint used by the blue paint

So,

= 8.8 - (8.8 × 4 ÷ 5)

= 8.8 - 7.04

= 1.76 pints

Hence, the blue paints of 1.76 pints is used to paint her bedroom walls

Answer:

1305

Step-by-step explanation:

Equation = \(( 5x )^{2} + ( -2x ^{3} )y + ( 3y )^{4}\)

               = (5×1)² + {(-2×1)³}×2 + (3×2)⁴

               = (5)² + {-2}³×2 + (6)⁴

               = 25 + (-8)×2 + 1296

               = 25 + (-16) + 1296

               = 25 - 16 + 1296

               = 9 + 1296

               = 1305

The ordered pairs for trapezoid L"M"N"O'" include the following:

L" (-4, 4)

M" (-7, 4)

N" (-8, 7)

O" (-3, 7)

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

By applying a reflection of 180° to the vertices of trapezoid L'M'N'O', we have the following transformed coordinate:

(x, y)                        →            (-x, -y)

L (2, -1)                      →           L' = (-2, 1)

M (5, -1)                      →          M' = (-5, 1)

N (6, -4)                      →          N' = (-6, 4)

O (1, -4)                      →           O' = (-1, 4)

Next, we would apply a translation of 2 units left and 3 units up:

(x, y)                        →            (x - 2, y + 3)

L' (-2, 1)                      →           L" = (-4, 4)

M' (-5, 1)                      →          M" = (-7, 4)

N' (-6, 4)                      →          N" = (-8, 7)

O' (-1, 4)                      →           O" = (-3, 7)

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Answer:

\(\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12\)

Answer:

c

Step-by-step explanation:

Answer:

14. x² + (y + 1)² = 156.25

15. (x + 4)² + (y + 5)² = 400

16. (x + 6)² + (y - 2)² = 1

Step-by-step explanation:

14.

Center: (0, -1)

Circumference: 25π

circumference = 2πr

2πr = 25π

2r = 25

r = 12.5

(x - 0)² + (y - (-1))² = (12.5)²

x² + (y + 1)² = 156.25

15.

Center: (-4, -5)

Area: 400π

area = πr²

πr² = 400π

r² = 400

r = √400

r = 20

(x - (-4))² + (y - (-5))² = 20²

(x + 4)² + (y + 5)² = 400

16.

Center: (-6, 2)

Area: π

area = πr²

πr² = π

r² = 1

r = 1

(x - (-6))² + (y - 2)² = 1²

(x + 6)² + (y - 2)² = 1

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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The PHP_EOL constant is used for adding a new line, ensuring the output is displayed correctly on different systems.

Here's a PHP function that accepts the total and sales tax rate as arguments, calculates the sales tax owed, and echoes the total, tax rate, and sales tax owed:

php

Copy code

function calculateSalesTax($total, $taxRate) {

   $salesTax = $total * $taxRate;

   echo "Total: $" . $total . PHP_EOL;

   echo "Tax Rate: " . ($taxRate * 100) . "%" . PHP_EOL;

   echo "Sales Tax Owed: $" . $salesTax . PHP_EOL;

   return $salesTax;

}

// Example usage

$total = 100;      // Total amount

$taxRate = 0.10;   // 10% sales tax rate

$taxOwed = calculateSalesTax($total, $taxRate);

In this example, when you call the calculateSalesTax() function with a total of 100 and a tax rate of 0.10 (equivalent to 10%), it will calculate the sales tax owed, echo the total, tax rate, and sales tax owed, and then return the sales tax amount.

The PHP_EOL constant is used for adding a new line, ensuring the output is displayed correctly on different systems.

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Answer:

0.02, 0.17, 0.2, 0.72, 2.27

Step-by-step explanation:

that's the answer!

Answer:

t= -4

Step-by-step explanation:

3.5×t+6=7 (divide both sides by 3.5)

= t+6=7/3.5(expand by multiplying the numerator & denominator by 10)

= t+6=70/35

= t+6=2(move 6)

= t=2-6

= t= -4

hope this helps!

The measure of the hypotenuse is approximately 7.1 cm, rounded to the nearest tenth.

We are given that;

Height=1cm, base= 7cm

Now,

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

To find the measure of the hypotenuse:

h2=12+72

Simplifying, we get:

h2=1+49

h2=50

Taking the square root of both sides, we get:

h=\(\sqrt{50}\)

Simplifying further, we get:

h=\(\sqrt{25*2​}\)

h=5\(\sqrt{2}\)​

Therefore, by Pythagoras theorem the answer will be 7.1 cm.

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1. The scatter plot has a positive linear association

2. The scatter plot here has a negative association

3. The scatter plot has a positive association

4. The scatter plot has a negative association

1. This is a positive linear association because as one of the variable increases, the other variable also increases as well. The increase is in the same proportion.

2. This is negative because as the tempretaure is rising, the same of the hot drinks are declining instead. When temperature was 20 degrees, that was when the highest amount of hot drinks was sold. That was the coldest temperature. The hotter it got, the less it was needed.

3. This is linear because the increase in one variable shows increase in another variable as well.

4. This is negative because as variable B falls, there is a rise in the variable A

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I guess you're asking about the probability density for the random variable \(|A-B|\) where \(A,B\) are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. \(A\) is

\(\mathrm{Pr}(A=a) = \begin{cases}\dfrac1{15} & \text{if } 0 < a < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

It's easy to see that the support of \(|A-B|\) is the same interval, (0, 15), since \(|x|\ge0\), and

• at most, if \(A=15\) and \(B=0\), or vice versa, then \(|A-B|=15\)

• at least, if \(A=B\), then \(|A-B|=0\)

Compute the CDF of \(C=|A-B|\) :

\(\mathrm{Pr}(C\le c) = \mathrm{Pr}(|A - B| \le c) = \mathrm{Pr}(-c \le A - B \le c)\)

This probability corresponds to the integral of the joint density of \(A,B\) over a subset of a square with side length 15 (see attached). Since \(A,B\) are independent, their joint density is

\(\mathrm{Pr}(A=a,B=b) = \begin{cases}\dfrac1{15^2} & \text{if } (a,b) \in (0,15) \times (0,15) \\ 0 &\text{otherwise}\end{cases}\)

The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \mathrm{Pr}(|A-B| > c) \\\\ ~~~~~~~~ = 1 - \int_0^{15-c} \int_{a+c}^{15} \frac{db\,da}{15^2} - \int_c^{15} \int_0^{a-c} \frac{db\,da}{15^2} \\\\ ~~~~~~~~ = 1 - \frac1{225} \left(\int_0^{15-c} (15 - a - c) \, da + \int_c^{15} (a - c) \, da\right)\)

In the second integral, substitute \(a=15-a'\) and \(da=-da'\), so that

\(\displaystyle \int_c^{15} (a-c) \, da = \int_{15-c}^0 (15-a'-c) (-da') = \int_0^{15-c} (15 - a' - c) \, da'\)

which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.

Then the CDF is

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \frac2{225} \int_0^{15-c} (15 - a - c) \, da \\\\ ~~~~~~~~ = 1 - \frac2{225} \left((15-c) a - \frac12 a^2\right) \bigg|_{a=0}^{a=15-c} \\\\ ~~~~~~~~ = \begin{cases}0 & \text{if } c < 0 \\\\ 1 - \dfrac{(15-c)^2}{225} = \dfrac{2c}{15} - \dfrac{c^2}{225} & \text{if } 0 \le c < 15 \\\\ 1 & \text{if } c \ge 15\end{cases}\)

We recover the PDF by differentiating with respect to \(c\).

\(\mathrm{Pr}(|A-B| = c) = \begin{cases}\dfrac2{15} - \dfrac{2c}{225} & \text{if } 0 < c < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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Answer:

The original price of computer is $ 1040

Solution:

Given that, Mason used a 30% coupon to buy a new computer

After the discount, the cost of the computer was $728

To find: original price of computer

From given question,

price after discount = $ 728

discount = 30 % of original price

Let "x" be the original price of computer

price after discount = original price - discount price

Step-by-step explanation:

The speed of the wind is 60 mph.

Let's denote the speed of the wind as r. When the plane is flying with the wind, its speed is (360 + r) mph, and when it's flying against the wind, its speed is (360 - r) mph.

According to the question, the plane flew the same distance with and against the wind, so we can set up an equation:

2.5(360 + r) = 3.5(360 - r)

Expanding the equation, we get:

900 + 2.5r = 1260 - 3.5r

Simplifying and rearranging the terms, we get:

6r = 360

Dividing both sides of the equation by 6, we get:

r = 60

Therefore, the speed of the wind is 60 mph.

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Answer:

Quadrant  II

Step-by-step explanation:

Sin is positive in Quad I and II

Cos is negative in  Quad II and II

Therefor ∅ is in Quadrant  II

Answer:

Assuming she has to do all of that before she leaves she needs to start at 4:40pm

Step-by-step explanation:

All of the things needed to do before she leaves equals 80 min and that is 1 hour and 20 min. Subtract that from 6:00pm and you get 4:40pm.

(Ps there is no number line)

Answer:

I think 1

Step-by-step explanation:

Solution

Question: Which type of graph would you use to compare the amount of rainfall each month for one year.

Answer: Line Graph

i.e Bar graph , Histogram, etc

Answer:

A. %80

Step-by-step explanation:

100%-20%=80%

The elements in the set A is {34, 35, 36, 37, 38, 39, 40}.

Here, we have,

given that,

The set A = {n | n is a positive integer and 33 < n < 41}

To list the elements of the given set :

From the given condition in the set A we have the the number n lies between 33 and 41 excluding 33 and 41

Since n lies between the open interval (33,41)

Therefore the set A = {34, 35, 36, 37, 38, 39, 40}

The above set A is arranged from smallest to largest itself.

The elements in the set A is {34, 35, 36, 37, 38, 39, 40}

contains the following elements:

34, 35, 36, 37, 38, 39, 40

Therefore, the elements of set A, listed from smallest to largest, are:

34, 35, 36, 37, 38, 39, 40.

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