Pauline wants to sell stainless steel water bottles as a school fundraiser.

She knows that she will maximize profits, and raise $1024, if she sells

the bottles for $28 each. She also knows that she will lose $4160 if she sells the bottles for only $10 each.

Write a quadratic relation to model her profit, P, in dollars, if she sells the bottles for x dollars each.

The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Answer:

-25677 = -3^4×317^1

Step-by-step explanation:

Factor the following integer:

-25677

Hint: | Show that 25677 is divisible by 9.

The sum of the digits of 25677 is 2 + 5 + 6 + 7 + 7 = 27, which is divisible by 9. This means 25677 is too

25677 = 9×2853:

-25677 = -9×2853

Hint: | Express 9 as a square.

9 = 3^2:

-25677 = -3^2×2853

Hint: | Show that 2853 is divisible by 9.

The sum of the digits of 2853 is 2 + 8 + 5 + 3 = 18, which is divisible by 9. This means 2853 is too

2853 = 9×317:

-25677 = -3^2×9×317

Hint: | Express 9 as a square.

9 = 3^2:

-25677 = -3^2×3^2×317

Hint: | 3 has no proper divisors.

3 is prime:

-25677 = -3^2×3^2×317

Hint: | Find a divisor of 317 by testing the integers between 2 and sqrt(317)≈17.8 for divisibility.

Because 317 is odd, only test odd numbers for divisibility

317 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17

Since 317 is not divisible by any integer up to 17, it is prime:

-25677 = -3^2×3^2×317

Hint: | Express -25677 as a product of prime powers.

There are 4 copies of 3 and 1 copy of 317 in the product:

Answer: -25677 = -3^4×317^1

Answer:

All real numbers

Step-by-step explanation:

Answer:

all real numbers! have a good day!

Step-by-step explanation:

Answer:

πr^2 h

π(11)^2 (15)

= 1815π or = 5701

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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Answer:

118

Step-by-step explanation:

15x - 2

Substitute the value given, in this case, it's x = 8.

15(8) - 2

Multiply 15 and 8.

120 - 2

Subtract 2 from 120.

118

Answer:

The third one

Step-by-step explanation:

If you pay attention you will see that the < sign is pointing the wrong way on 1 and 2, while on 4 its not lower is higher

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

Answer:

g(x) = \(\sqrt{x+4}+6 \)

Explanation:

Inside the square root, adding to x shifts the graph to left and vice versa

but addition to the outside of the square root will cause the graph to shift upwards and vice versa.

therefore the answer is g(x) = \(\sqrt{x+4}+6 \)

Answer:

Option A, \(x =\) ± \(4.47\)

Step-by-step explanation:

Step 1:  Add 20 to both sides

\(x^2 - 20 = 0\)

\(x^2 - 20 + 20 = 0 + 20\)

\(x^2 = 20\)

Step 2:  Square root both sides

\(\sqrt{x^2} = \sqrt{20}\)

\(x =\) ± \(4.47\)

Answer:  Option A, \(x =\) ± \(4.47\)

Answer:

A=a+b

2

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Answer:

C, 6

Step-by-step explanation:

31-13 is 18, 18/3 is 6.

Answer:

6

Step-by-step explanation:

31-13= 18

18÷3 = 6

Answer from Gauthmath

The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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Answer:15x+35=110

Step-by-step explanation:

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

Answer: The answer is 11x+4y+13

Answer:

Answer:80 pieces

Step-by-step explanation:

Answer: Answer would be -65

It should be that?

Answer: \(y=2x-11\)

Step-by-step explanation:

Given

The line has a slope of 2 and passes through (3,-5)

Using slope point form that is

\(\Rightarrow \dfrac{y-y_1}{x-x_1}=m\)

Insert values

\(\Rightarrow \dfrac{y-(-5)}{x-3}=2\\\\\Rightarrow y+5=2x-6\\\Rightarrow y=2x-11\ or\ 2x-y=11\)

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation \(S'(t)= -30t^{2} + 420t\). The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

\(\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\ S(t)= -10t^{3} +210t^{2} \\\)

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

\(Given\ S(t) = -10t^{3} + 210t^{2}\)

\(S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860\)

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

\(S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720\)

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

Answer: 5

Step-by-step explanation: 3x=15 x=5.

\(3x + 2y = 15\)

\(3x = 15 - 2y\)

\(x = \frac{15 - 2y}{3} \)

\(x = \frac{ - 2y}{3} + 5\)

\(x = - \frac{2y}{3} + 5\)

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Answer:

It's always located right in between the tenths place and the ones place.

000.000

Answer:

49,800,000 is the answer

Answer:

50,000,000

Step-by-step explanation: What you would do is if you have to round up, remember this way to always get it right. 4 or below = stays the same 5 or above = rounds up. so 49,815,662. Well we would take the 8 and round it up to the 9 making it 10 so 49 turns into 50.

Answer:

Step-by-step explanation:

İnside the root cannot be negative so x+7 at least equal to 0 so x is at least-7 so the answer is bigger or equal to -7

Answer:

the actual answer is y>=5 or b

Step-by-step explanation:

edge 2020

The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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