A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.

Answers

Answer 1

Answer: $Chair=x$

$Table=y$

$Desk=z$

$\begin{Bmatrix}x+y&=&40\ny+z&=&83\nx+z&=&77\end{matrix}$

keep the first row as normal, then in the other ones, we can isolate Y and X

$\begin{Bmatrix}x+y&=&40\ny&=&83-z\nx&=&77-z\end{matrix}$

now we can replace at first row...

$\begin{Bmatrix}(77-z)+(83-z)&=&40\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}160-2z&=&40\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}-2z&=&40-160\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}-2z&=&-120\ny&=&83-z\nx&=&77-z\end{matrix}$

$\begin{Bmatrix}z&=&60\ny&=&83-z\nx&=&77-z\end{matrix}$

now we can replace the Z to discovery the other value

$\begin{Bmatrix}z&=&60\ny&=&83-60\nx&=&77-60\end{matrix}$

$\boxed{\boxed{\boxed{\begin{Bmatrix}Chair&=&17\nTable&=&23\nDesk&=&60\end{matrix}}}}$

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To find 61x1,000,place zeros on the end of to form the product_.

Answers

Answer:

place 3 zeros at the end of 61 = 61,000 to form the product.

Step-by-step explanation:

Divide (15x^2+x-8)/(3x-1)

Answers

Simplifying -15x2 + -2x + 8 = 0
Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
Combine like terms: 0 + -2 = -2 -3x = -2
Divide each side by '-3'. x = 0.6666666667
Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying 4 + 5x = 0
Solving 4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
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Solutionx = {0.6666666667, -0.8}

Write a seperate sentance IN SPANISH for each word in the past tense that describes each of the following:1. Date
2. Times
3. Weather
4. location
5. appearance of someone
6. attitude
7. age
8. emotional state of a person (happy sad angry)

part B
write a description of a person or a place IN SPANISH. Use the imperfect form when appropriate.

Answers

Date= cita

La cita era a las 8:00 de la mañana.

Times=veces.

El fue a Canadá 4 veces y después viajó a Europa.

Weather=El tiempo.

El tiempo en Filipinas fue cálido y lluvioso cuando estube allí.

location= ubicación.

Su maleta se extravió y nunca se encontró su ubicación.

appareance of someone=llegada de alguien-

La llegada de alguién alteró su comportamiento.

attitude=actitud

Recriminó su actitud por su indebido comportamiento.

age=eda

La edad de María era mayor que la de la señora Juana, ellas morían tras una penosa enfermedad el año pasado..

Emotional sate or a person:
happy=feliz
sad=triste
angry= enfadado.

Ella era feliz de niña, en su adolescencia murió su abuela y siempre estubo triste, después se casó y siempre estubo enfadada.ademas de triste.

Pompeya era una villa Romana, donde vivían comerciantes, sus habitantes hablaban el Latín, y comerciaban con otros comerciantes que viajaban en grandes embarcaciones repletas de productos y especias. Sus habitantes comían una especie de cocido, el cocinero cocinaba este manjar con garbanzos, berzas y un poco de carne. El Vesubio destruyóese magnifico lugar, cuandoerupcionó.

A spool of ribbon is 85 inches long. riley needs to cut strips of ribbon that are 17 inches long. what are the possible numbers of strips that riley can cut?

Answers

Answer:

80/14=5.7 OR 5 14 IN.

Step-by-step explanation:

Complete the following item based on the given information.The volume of a box(V) varies directly with its length(l). Using k for the constant of proportionality, express the relationship between V and l if V varies directly with l.
V = _______