560 divided 70 = 56 tens divided 7 tens=
1 answer:
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Question:
Which scenario best matches the linear relationship expressed in the equation y = –14x + 1,700?
1) Kent has $1,700 in his bank account and spends $14 each week.
2) Kent has $1,700 in his bank account and deposits $14 each week.
3) Kent had $1,700 in his bank account and deposited another $14.
4) Kent has $14 in his bank account and spent $1,700.
Answer:
Option 1) Kent has $1,700 in his bank account and spends $14 each week.
Step-by-step explanation:
Let x denote the number of weeks.
Option 1: Kent has $1,700 in his bank account and -14x as the negative sign denotes how much amount he spend each week.
Thus, Option 1 is the correct answer.
Option 2: Kent has $1,700 in his bank account and deposits $14 each week.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 2 is not the correct answer.
Option 3: Kent had $1,700 in his bank account and deposited another $14.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 3 is not the correct answer.
Option 4: Kent has $14 in his bank account and spent $1,700.
Writing it as equation, we have, which is not the expressed linear equation.
Hence, Option 4 is not the correct answer.
Thus, the scenario that matches the linear equation relationship expressed in the equation is Option 1.
The answer is Kent has $1,700 in his bank account and spends $14 each week.
Answer:
El perímetro de la región impresa es 72 cm y su área es 288 cm².
Step-by-step explanation:
1. Tenemos el perímetro de la hoja de papel:
P₁ = 96 cm = 2l₁ + 2a₁ (1)
Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):
(2)
(3)
El perímetro del rectángulo interno es:
(4)
Introduciendo la ecuación (2) y (3) en (4):
Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.
2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:
(5)
Introduciendo (5) en (4):
Entonces el área es:
Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².
Espero que te sea de utilidad!