Write an expression to model each situation.


Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________



A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________

Answer:

Indentify a pair of segments that are marked perpendicular to each other on the diagram below

Step-by-step explanation:

OQ

Answer:

6.25

Step-by-step explanation:

a quarter=1/4 which is 0.25; 0.25 for each person is 0.25(25)=6.25

Answer:

c) 3

Step-by-step explanation:

The surface area of the open-top box is 23872 cm².

In the question, we are asked to find the surface area of an open-top box with a length of 9cm, a width of 8cm, and a height of 7m.

The length is given to be, l = 9 cm.

The width is given to be, w = 8 cm.

The height s given to be, h = 7 m = 700 cm.

The box is in the shape of a cuboid.

The surface area of a cuboid is calculated using the formula, A = 2(lw + wh + hl).

But, the given box has an open top. Thus, one surface involving the length and width, that is, with an area of lw is missing.

Thus, the surface area of the open-top box can be calculated as:

A = 2(lw + wh + hl) - lw,

or, A = lw + 2h(w + l).

Substituting the values now, we get:

A = 9*8 + 2*700/(9 + 8),

or, A = 72 + 1400*17,

or, A = 72 + 23800,

or, A = 23872 cm².

Thus, the surface area of the open-top box is 23872 cm².

Learn more about the surface area of a cuboid at

https://brainly.com/question/26403859

#SPJ4

Given:

Volume of cubical tank = \(\dfrac{1000}{125}\) cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

\(V=a^3\)

Where, a is the side length.

It is given that the volume of cubical tank is \(\dfrac{1000}{125}\) cubic meters. So,

\(a^3=\dfrac{1000}{125}\)

\(a^3=\dfrac{(10)^3}{5^3}\)

Taking cube root on both sides, we get

\(a=\dfrac{10}{5}\)

\(a=2\)

Therefore, the length of a side of the water tank is 2 meters.

Answer:

110/5=2

2,5.5=15

2+15=17

Step-by-step explanation:

Answer:

\(a = \frac{bq}{n}\)

Step-by-step explanation:

If we are trying to solve for "a", then we need it to be alone on one side of the equation.

\(\frac{n}{q} = \frac{b}{a}\)

\(\frac{an}{q} = b\)

\(a = \frac{bq}{n}\)

Debate writing on "Boarding school is better than day school" .

Ladies and gentlemen, esteemed judges, and fellow participants, I stand before you today as the principal speaker in support of the motion that "Boarding school is better than day school." As the leader of this debate competition held at our esteemed school, I firmly believe that boarding schools offer unique advantages and foster an environment conducive to holistic development.

First and foremost, boarding schools provide a structured and disciplined environment for students. Living on campus instills a sense of responsibility, independence, and self-discipline among students. The daily routines, rules, and regulations ensure that students learn valuable time management skills and develop a strong work ethic. With a structured schedule, students are able to balance their academic pursuits with extracurricular activities, enabling them to explore their talents and passions to the fullest.

Boarding schools promote a diverse and inclusive community. Students from various backgrounds come together, fostering a rich cultural exchange and encouraging acceptance of different perspectives. The constant interaction among students leads to lifelong friendships and the development of essential social skills. Boarding schools create a supportive and close-knit community, where students can rely on each other for academic, emotional, and personal support.

Boarding schools provide ample opportunities for personal growth and character development. Away from the comforts of home, students learn to adapt to new environments, overcome challenges, and become more resilient individuals. Living in a boarding school setting encourages students to develop crucial life skills such as problem-solving, teamwork, and effective communication. These skills not only benefit them academically but also prepare them for the challenges they will face in their future careers and personal lives.

Boarding schools often boast exceptional facilities and resources that enhance the learning experience. Students have access to state-of-the-art libraries, laboratories, sports facilities, and extracurricular programs that are not always readily available in day schools. These resources broaden students' horizons and provide them with a well-rounded education that extends beyond the classroom.

In conclusion, ladies and gentlemen, I firmly support the motion that boarding school is better than day school. The structured environment, diverse community, opportunities for personal growth, and exceptional resources make boarding schools an ideal choice for students seeking a comprehensive educational experience. By embracing the advantages of boarding schools, we empower our students to thrive academically, socially, and emotionally. Let us embrace the potential that boarding schools offer and recognize the value they bring to the education system. Thank you.

For more such questions on Debate writing

https://brainly.com/question/30376982

#SPJ11

Answer: 28

Step-by-step explanation:

To find the number, we need to use the fact that 4/7 of a number is 84 to set up an equation that we can solve. Since 4/7 of a number is 84, we can write the following equation:

(4/7) * x = 84

To solve this equation, we need to first get rid of the fraction by multiplying both sides of the equation by 7/4:

(4/7) * x * (7/4) = 84 * (7/4)

This gives us the equation:

(4/7) * (7/4) * x = 84 * (7/4)

Since (4/7) * (7/4) = 1, we can simplify the equation as follows:

1 * x = 84 * (7/4)

We can then simplify the right side of the equation by multiplying the numerator and denominator of the fraction by 4:

1 * x = 84 * (7/4) = 84 * (28/28) = 28

Finally, we can solve for x by dividing both sides of the equation by 1:

1 * x / 1 = 28 / 1

This gives us the final equation:

x = 28

Therefore, the number is 28.

Given that:

1. The brown family paid $170 for 3 children and 2 adults

2. The Rodriguez family paid $360 for 4 children and 6 adults

a. if x is the price of a child's ticket and y is the price of an adult's ticket, then the system of equations that models the situation would be:

Note that:

Equation (1) and (2) are the model equations for the Brown family and Rodriguez family respectively

b.

Note that, the red and blue line represents the first and second model equations respectively

c. The coordinates of the point intersection is:

d.

The coordinate of the point of intersection (30, 40) means that the price of a child's ticket for the Brown and Rodriguez family is $30, and the cost of an adult's ticket for the Brown and Rodriguez family is $40

Answer:

multiply two by ten to get twenty

Step-by-step explanation:

20/2=10

Answer:

10

Step-by-step explanation:

Based on the table, the number of widgets that the company should produce will be B. 4

Gain is the best definition of profit, particularly when it is attained by raising the price of goods so that consumer spending exceeds producer expenses and a sizable return on investment is left. Profit is the amount of money that remains after expenditures and expenses have been paid.

This table shows how much it costs for a company to produce x number of widgets, and how much revenue the company makes for each additional widget produced. The widget should be based on where the most profit will be made. This is at 4 unit as the profit will be:

= $49 - $16

= $33

This is the highest profit that can be gotten.

Learn more about profit on:

https://brainly.com/question/1078746

#SPJ1

To find the inverse of a Laplace transform, one typically uses partial fraction decomposition and partial fraction expansion. Partial fraction decomposition involves breaking down a Laplace transformed function into simpler terms, each with a corresponding inverse Laplace transform. Partial fraction expansion involves using known formulas to find the inverse Laplace transform of these simpler terms.

The "inverse of a Laplace transform" is a mathematical operation that transforms a Laplace transformed function back into its original time domain form. It is a useful tool for solving linear differential equations, as well as for analyzing signals and systems.

The process of finding the inverse of a Laplace transform can also involve using convolution theorem, which states that the inverse Laplace transform of the product of two Laplace transformed functions is equal to the convolution of their respective inverse Laplace transforms. This theorem can be useful for solving systems of differential equations and for understanding the response of linear systems to different inputs.

It's also important to note that not all Laplace transformed functions have an inverse Laplace transform, as some functions may have poles in the right half of the complex plane, meaning they do not converge. In such cases, the inverse of a Laplace transform cannot be found using these methods.

To learn more about Inverse of a Laplace transform, visit: https://brainly.com/question/1675085#

#SPJ11

The inequality that is represented by the given graph is; y ≥ 2x - 5

The formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given linear graph, we see that the y-intercept is at y = -5

The slope is gotten by using two coordinates (3, 1) and (4,3) using the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (3 - 1)/(4 - 3)

Slope = 2

Since the Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region, then this is ≤ or ≥ .

Now, the graph is shaded above the solid line which indicates greater sign and as such, the inequality is;

y ≥ 2x - 5

Read more about Graph Inequality at; https://brainly.com/question/11234618

#SPJ1

Answer: \(7.93\)

Step-by-step explanation:

Given

\(f(x)\) is an exponential function. Suppose \(f(x)\) is \(ae^{bx}\)

\(f(1.5)=5\ \text{and}\ f(7.5)=79\)

\(\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)\)

Similarly,

\(\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)\)

Subtract (i) and (ii)

\(\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066\)

Insert the value of \(b\)

\(\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16\)

So, the function becomes

\(\Rightarrow f(x)=3.16e^{0.3066b}\)

\(\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93\)

Answer:

7.93

General Exponential Form: y=ab^x

Plug in both points

divide the equations

cancel out a, subtract exponent of b

Answer:

f (-4) = -5

Step-by-step explanation:

Look at the graph and see the y coordinates when x = -4.

Here, when x = -4, y = -5.

Answer:

(7/2, -5/2)

Step-by-step explanation:

We can solve this multiple ways: Algebraically (Substitution or Elimination) or Graphically

Step 1: Write 1st equation in terms of y

y = 8 - 3x

Step 2: Substitute y of 2nd equation

x - 3(8 - 3x) = 11

Step 3: Solve for x

x - 24 + 9x = 11

10x - 24 = 11

10x = 35

x = 7/2

Step 4: Plug x to find y

3(7/2) + y = 8

21/2 + y = 8

y = -5/2

Answer:

Step-by-step explanation:

let's organize our information :

The trick here is to multiply x-3y=11 by -3 then add it to 3x+y=8 to get rid of x and get a normal equation

we get : -3x+9y= (-33)

then after the addition : 3x+y-3x+9y=8-33⇔ 10y=(-25)

   so y=(-25)/10= -5/2

so y= (-5/2) and x= 21/6

Answer:

5x²-3x-14

Step-by-step explanation:

(3x-6)(2x+3)+(2-x)(2+x) = (6x²+9x-12x-18)+(2²-x²)

                                     = 6x²+9x-12x-18+4-x²

                                     = 6x²-x²+9x-12x-18+4

                                     = 5x²-3x-14

Answer:

(x - 2)(5x + 7)

Step-by-step explanation:

(3x - 6)(2x + 3) + (2 - x)(2 + x) ← expand factors using FOIL

= 6x² - 3x - 18 + 4 - x² ← collect like terms

= 5x² - 3x - 14

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 14 = - 70 and sum = - 3

The factors are - 10 and + 7

Use these factors to split the x- term

5x² - 10x + 7x - 14 ( factor the first/second and third/fourth terms

= 5x(x - 2) + 7(x - 2) ← factor out (x - 2) from each term

= (x - 2)(5x + 7) ← in factored form

Using the Euclidean inner product the

(a) projvu = (-1, -1)

(b) projuv = (1, 1)

(a) To find projvu, we need to calculate the projection of vector u onto vector v. The formula for the projection of u onto v using the Euclidean inner product is projvu = (u · v) / ||v||^2 * v. Given u = (-3, 4) and v = (1, 1), we can calculate:

projvu = ((-3, 4) · (1, 1)) / ||(1, 1)||^2 * (1, 1)

projvu = (-3 + 4) / (1^2 + 1^2) * (1, 1)

projvu = 1 / 2 * (1, 1)

projvu = (1/2, 1/2)

Therefore, projvu = (-1, -1) (rounded to whole numbers).

(b) To find projuv, we need to calculate the projection of vector v onto vector u. Using the same formula as before, but with u and v swapped, we get:

projuv = ((2, -1, 1) · (2, 1, 1)) / ||(2, 1, 1)||^2 * (2, 1, 1)

projuv = (4 - 1 + 1) / (2^2 + 1^2 + 1^2) * (2, 1, 1)

projuv = 4 / 6 * (2, 1, 1)

projuv = (4/6 * 2, 4/6 * 1, 4/6 * 1)

projuv = (8/6, 4/6, 4/6)

Simplifying, we get projuv = (4/3, 2/3, 2/3).

Therefore, projuv = (1, 1) (rounded to whole numbers).

For more questions like Projvu click the link below:

https://brainly.com/question/17461463

#SPJ11

the solution for the number of tigers present over time is given by:

P - (P^2)/(2K) - (T/K)P + (T/K)ln(P) = rt + 11.375 + 0.1ln(15)

To solve the given differential equation for the population of Bengal tigers in the conservation park, we'll use the given parameters and initial conditions.

The differential equation for the population (P) is:

P't = rp(1 - P/K)(1 - T/P)

Given:

Carrying capacity (K) = 100

Minimum threshold value for survival (T) = 10

Population growth rate (r) = 1% = 0.01 (per year)

Initial population (P0) = 15

Now, let's solve the differential equation to find the number of tigers present over time.

Separating variables, we have:

(1 - P/K)(1 - T/P) dP = rp dt

Integrating both sides:

∫ (1 - P/K)(1 - T/P) dP = ∫ rp dt

Let's evaluate the integral on the left side:

∫ (1 - P/K)(1 - T/P) dP = ∫ (1 - P/K - T/K + T/(KP)) dP

= ∫ (1 - P/K) - (T/K) + (T/PK) dP

= P - (P^2)/(2K) - (T/K)P + (T/K)ln(P) + C1

On the right side, we have:

∫ rp dt = rt + C2

Combining both sides and simplifying, we have:

P - (P²2)/(2K) - (T/K)P + (T/K)ln(P) + C1 = rt + C2

To solve for the constants C1 and C2, we use the initial condition P(0) = P0:

P0 - (P0²2)/(2K) - (T/K)P0 + (T/K)ln(P0) + C1 = r(0) + C2

P0 - (P0²2)/(2K) - (T/K)P0 + (T/K)ln(P0) + C1 = C2

Substituting the given values:

15 - (15²2)/(2×100) - (10/100)×15 + (10/100)ln(15) + C1 = C2

15 - (225/200) - (150/100) + (10/100)ln(15) + C1 = C2

15 - 1.125 - 1.5 + 0.1ln(15) + C1 = C2

Simplifying further, we have:

12.375 + 0.1ln(15) + C1 = C2

Now we have the general solution:

P - (P²2)/(2K) - (T/K)P + (T/K)ln(P) = rt + C

Using the initial condition P(0) = 15, we can solve for C:

15 - (15²2)/(2×100) - (10/100)×15 + (10/100)ln(15) = r(0) + C

15 - 1.125 - 1.5 + 0.1ln(15) = C

11.375 + 0.1ln(15) = C

Therefore, the solution for the number of tigers present over time is given by:

P - (P²2)/(2K) - (T/K)P + (T/K)ln(P) = rt + 11.375 + 0.1ln(15)

This is the general solution for the population of Bengal tigers in the conservation park.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

Answer: 20%

Step-by-step explanation: $1200 - $960 = $240

20% of 1200 is 240.

The correct combination function to represent the amount the parent should pay is h(x) = 75 + 5x, where x represents the number of lessons. The function f(x) represents the first sister's flat rate of $75, while g(x) represents the second sister's payment of $5 per lesson. Adding the two functions gives the total amount the parent should pay.

The correct combination function to represent the amount the parent should pay can be found by adding the two functions together. Let's call this combined function "h(x)".

The first sister decides to pay a flat rate of $75 for the acting lessons. This can be represented as the function f(x) = 75. It means that regardless of the number of lessons, she will pay $75.

The second sister wants to pay $5 per lesson. This can be represented as the function g(x) = 5x, where "x" represents the number of lessons. The function g(x) calculates the total cost by multiplying the number of lessons by $5.

To find the combined function h(x), we add f(x) and g(x):

h(x) = f(x) + g(x)

h(x) = 75 + 5x

So, the correct combination function to represent the amount the parent should pay is h(x) = 75 + 5x. In this function, the constant term 75 represents the flat rate paid by the first sister, and the term 5x represents the additional cost per lesson for the second sister.

For example, if both sisters take 10 lessons, the parent should pay:

h(10) = 75 + 5(10)

h(10) = 75 + 50

h(10) = 125

So, the parent should pay $125 for 10 lessons in this case.

This combined function allows the parent to calculate the total cost based on the individual payment choices of each sister. It provides flexibility and accommodates different payment preferences.

For more questions on combination function:

https://brainly.com/question/2280043

#SPJ8

The surface area of the storage bin is 34.8ft²². Storage capacity will the storage bin have 13.5ft³.

The area of a square is composed of (Side) (Side) square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area. (ft2).

a=2*5-2>.5

b = 2 .

c = 2.1 ft

S = 2(3 * 2 * 2) + 3 * 2 + 2 * 1/v * 1/v

x 2+ 1 2 *3+3*1*3

= 2 deg + 6 + 1 + 1.5 + 6 * 3

= 34.8ft²

V = V Triangle prism + Vandrangular prism.

= 3×2×2 + 2 x = x2x2

= 12+ 1.5

= 13.5ft³

To know more about surface area visit:-

https://brainly.com/question/29298005

#SPJ9

Question:

Dave wants to know the amount of material he needs

to buy to make the bin. What is the surface area of the

storage bin?

Part B

How much storage capacity will the storage bin have?

Answer:

when sixteen times a number is decreased by seventeen the result is 26

Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

= 10a + 5.6b - 25

Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

See below

Step-by-step explanation:

Step 1: Take the reciprocal of the divisor

Step 2: Multiply the fractions instead

Step 3: Evaluate

Example:

\(\frac{1}{2}\div\frac{2}{3}\)

\(\frac{1}{2}*\frac{3}{2}\)

\(\frac{3}{4}\)

Answer:

Step-by-step explanation:

1) reciprocal: reverse the numerator and denominator of the second fraction.

2) multiply the numerators.

3) multiply the denominators.

4) simplify the resulting fraction if needed.

Answer:

do this solve in calc (a+1)^2+(a+3)^2=(a+5)^2

Answer:

4/5 of the wall

Step-by-step explanation:

In 1/4 of an hour, 1/5 of the wall is painted. That means that

in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.

4/5 is your answer