Liam is a rewards member at a local restaurant. He can buy four tacos at regular price and get 5.50 off of his purchase. Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total. What would the taco price x need to be in order for Liam and Zachary to spend the same amount?

Answers

Answer 1

Answer:

Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.

There is no price of the taco that makes that both of them spend the same.

Liam and Zachary buy tacos at the same place. Let "x" be the price of each taco and "y" be the total amount spent.

Liam can buy 4 tacos at regular price and get 5.50 off of his purchase.

We can represent the situation through the following linear equation.

y = 4x - 5.50 [1]

Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total.

We can represent the situation through the following linear equation.

y = 3x - 6.50 [2]

We want to know the prices of the taco so that both of them spend the same amount.

We calculate it making [1] equal to [2].

4x - 5.50 = 3x - 6.50

4x - 3x = -6.50 + 5.50

x = -1.00

The taco would have cost -1.00 for both of them to spend the same. Since in reality, this is unlikely, we can say that there is no price of the taco that makes that both of them spend the same.

Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.

There is no price of the taco that makes that both of them spend the same.

Learn more about linear equations here: brainly.com/question/2263981

Related Questions

153.8=3.14(r)squared
A tree has a height of 9 2/3 feet. What is the height of the tree after it grows 1 1/4 feet?8 1/7 feet8 5/12 feet10 3/7 feet10 11/12 feet
1. In order to get more female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260. Use this sample information to construct a 95% confidence interval for the average daily revenue. The store manager believes that the coffee and pastry strategy would lead to an average daily revenue of $1,200. Is the manager correct based on the 95% confidence interval?
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Alexis purchased a combination of daisies and tulips for her friend's birthday party. Both types of flowers cost $4 per bundle, and she spent $76. Alexis purchased 12 bundles of tulips. How many bundles of daisies did she buy?

Suppose that det(a) = a b c d e f g h i = 2 and find the determinant of the given matrix. a b c −4d −4e −4f a + g b + h c + i

Answers

I'll go out on a limb and suppose you're given the matrix

$\mathbf A=\begin{bmatrix}a&b&c\nd&e&f\ng&h&i\end{bmatrix}$

and you're asked to find the determinant of $\mathbf B$ , where

$\mathbf B=\begin{bmatrix}a&b&c\n-4d&-4e&-4f\na+g&b+h&c+i\end{bmatrix}$

and given that $\det\mathbf A=2$ .

There are two properties of the determinant that come into play here:

(1) Whenever a single row/column is scaled by a constant $k$ , then the determinant of the matrix is scaled by that same constant;

(2) Adding/subtracting rows does not change the value of the determinant.

Taken together, we have that

$\det\mathbf B=-4\det\mathbf A=-8$

Final answer:

Due to insufficient information, we cannot calculate the determinant of the given matrix. The determinant calculation varies based on the matrix's size and the specifics of its elements.

Explanation:

The question asked was to find the determinant of a given matrix when the det(a) = 2. However, the information provided is insufficient to determine the actual matrix determinant due to numerical errors and unrelatable data. The determinant of a matrix is calculated differently depending on the type of matrix. For a 2x2 matrix, if the matrix is [a b; c d], the determinant would be 'ad - bc'. For a 3x3 matrix, the determinant process involves more steps including finding minors and cofactors of matrix elements. However, without the actual specifics of the matrix, the determinant cannot be calculated.

Learn more about Determinant of a matrix here:

brainly.com/question/32638141

#SPJ11

Solve the equation. 4c = 3

Answers

The solution of the linear equation 4·c = 3, obtained by solving for the variable c is; c = 3/4

What is a linear equation?

A linear equation is an equation that can be expressed in the form; y = m·x + c

The equation 4·c = 3 is a linear equation

In order to solve the equation 4·c = 3 for the variable c, the variable c needs to be isolated to one side of the equation, by dividing both sides of the equation by 4 as follows;

4·c = 3

(4·c)/4 = 3/4

c = 3/4

Therefore, the solution of the equation, 4·c = 3 is; c = 3/4

Learn more on linear equations here: brainly.com/question/30338252

#SPJ6

Answer:

Brainelist~~~!!!

Step-by-step explanation:

4c=3

c=3/4

c=0.75

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)452.16 cm3

840.54 cm3

1,055.04 cm3

1,456.96 cm3

Answers

Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³

Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³

A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x, y, and z to be the length, width, and height, respectively, of the box in meters. Then we wish to maximize V

Answers

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

You ran 2 miles on Monday,2 miles on Tuesday, 3 miles on Wednesday ,2 miles on Thursday and 4 miles on Friday how many miles did you run during the week

Answers

Answer:

13 miles

Step-by-step explanation:

Add all of the number of miles you ran from each day to get your total mileage.

2+2+3+2+4

1.682 inches rounded to the nearest whole number is 1 inch. True or False

Answers

The answer is false

Step-by-step explanation:

6 is closer to 10

Other Questions

Which is the graph of g(x) = (0.5)x + 3 – 4?

Find the missing Length X Help me !!!!A.12B.11C.5

Is ABC a right angle? Why or why not?

Apply the Distributive Property 5(x + 3)