At a fall festival, a student council sold two types of drinks: hot drinks: hot chocolate and a apple cider. The student council earned $1.25 for every cup of hot chocolate it sold and $0.75 for every cup of apple cider it sold. There were 375 cups of drinks sold, and the total amount of money earned from selling drinks was $393.75. The system of equations shown can be used to represent this situation. x + y = 375 1.25x + 0.75y = 393.75

Q: Consider a subset SC C of the complex plane defined by S= {z € C : 0< |z - 2- iS 1}. (a) Sketch this…

A: Given that:S⊆ℂ and S={zℂ:0&lt;z-2-i≤1}.we have to find:(a)sketch of S.(b)we have to write closure of…

Q: 3x+ 4xx+16x+20x+9 (x -2Xx*+3)'

A:

Q: 12. For which values of parameter a, the vectors. °u = (1, a, 2) and °v = (a, 4, 4) are

A:

Q: heat problem:

A:

Q: 17 yd L-11 vd. Calculate The Surface Area of the image above. Surface Area yd 2

A: Given : Given image is of the right circular cone in which radius r=11yd slant height(l)= 17yd   To…

Q: 2 If f(x) = x2 + 2, xe{-3,-2,-1,0,1,2,3}, state the domain and range.

A: According to question given:f(x)=x2+2, x∈-3, -2, -1, 0, 1, 2, 3We have to calculate the domain and…

Q: What is the mean absolute deviation of the following set? {23, 24, 29, 30, 38, 48}

A: First we calculate the mean of the given data set then we calculate the distance of each element of…

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3

A:

Q: (a) Find a basis for non-trivial solution of the following system х 2y 3z = 0 %3D 2х + y - z = 0 3x…

A:

Q: It has become common for shoppers to comparison shop using the Internet. In a survey, respondents…

A:

Q: (x+y)

A:

Q: (a) Solve the following system of equations to express the solution in the form of x= Xp+ Xh 2x1 –…

A: The given system of equation is,…

Q: Use the spinner shown to answer the question. Assume that it is equally probable that the pointer…

A: Given spinner divided into 6 equal part.   2 parts are green. 1 part is yellow. 3 part is red.

Q: 6. (a) Find parametric equations for the line through A = (1, 2, 3) and B = (0, 2, 2). (b) Find the…

A: Solve for the given

Q: *1. Solve the problem by applying the Fundamental Counting Principle. A restaurant offers a choice…

A: It is given that a restaurant offers a choice of 5 salads, 10 main courses and 4 desserts.

Q: Let I = (a, 6) be a bounded open interval and f :I→ R be a monotone increasing function on I. sup…

A:

Q: 1. Find Solution using Newton's Forward Difference formula f(x) 2747 46 2651 66 1740 81 3640 93 3637…

A:

Q: Find the surface which intersects the surfaces of the system z(x+ y) =c(3z+1) orthogonally and…

A: To finding the surface which is intersecting given system and orthogonal to circle is given as…

Q: *2. At a lumber company, shelves are sold in 4 types of wood, 3 different widths and 6 different…

A: 4 type of wood 3 different widths 6 different lengths   how many different type of shelves could be…

Q: Q4. Find the integral of the following functions x dx (x-1)(x2+2x+1)

A:

Q: Solve 7Vab 3 Va²b

A:

Q: Find f(2021) if function f satisfies following conditions: f(1) = 1 • f(x + y) = f(x)+ f(y), Vx, y…

A: Substitute x=0, y=1 in the equation, f(x+y)=f(x)+f(y) to obtain the value of f(0) follows.…

Q: ard's example: (a) Consider the Cauchy problem for the Laplace equation Ux +uyy =0 (El1.1) subject…

A:

Q: Let f (x, y) = x3 – 3xy + y3. Find all critical points of f and at each critical point, - use the…

A: Critical points using second derivative test

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.