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Vesnalui [34]
3 years ago
13

Help asap please help

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

-\dfrac{2}{3}\left(2x-\dfrac{1}{2}\right)\leq\dfrac{1}{5}x-1\ \ \ \ \text{use distributive property}\\\\-\dfrac{4}{3}x+\dfrac{1}{3}\leq\dfrac{1}{5}x-1\ \ \ \ \ |\cdot15\\\\-5(4x)+5\leq3x-15\\\\-20x+5\leq3x-15\ \ \ \ \ |-5\\\\-20x\leq3x-20\ \ \ \ |-3x\\\\-23x\leq-20\ \ \ \text{change the signs} \\\\23x\geq20\ \ \ \ \ \ |:23\\\\\boxed{x\geq\dfrac{20}{23}}\to x\in\left[\dfrac{20}{23},\ \infty\right)

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Ellen "The Wonderer" continues to walk in the path of an inscribed polygon. She starts at W, walks south until the boundary poin
mart [117]

Answer:

110°

Step-by-step explanation:

The path in the inscribed polygon walked by Ellen is shown in the diagram attached. Let the degrees in which Ellen must turn to get back to her starting point be T. Therefore to calculate T we use the theorem "An inscribed quadrilateral whose vertices all lie on a circle, the opposite angles of such a quadrilateral are in fact supplements for each other i.e their sum is 180 degrees."

Therefore: T + 70° = 180°

T = 180° - 70°

T = 110°

To get back to the starting point, Ellen must turn 110°

3 0
3 years ago
A = 100(1+r)^4<br> Expand the right of this formula.<br> appreciate your help with an explanation
suter [353]

Answer:

100r^4 + 400r^3 + 600r^2 + 400r + 100

Step-by-step explanation:

Expanding ( r + 1 )^4 gives :-

r^4 + 4r^3 + 6r^2 + 4r + 1

So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-

100r^4 + 400r^3 + 600r^2 + 400r + 100

4 0
3 years ago
A boat attempts to sail due east at 15km/h, but is taken off course by a current of 5 km/h flowing in the southwest direction. F
Iteru [2.4K]

Answer:

10 km / hr

Step-by-step explanation:

Speed of boat = 15 km /hr

Speed of stream = 5km /hr .

Since both are acting opposite to each other . The the resultant speed with which it travels = 15 - 5 = 10 km/hr

8 0
3 years ago
Pablo debe ordenar 350 sillas de un salón en filas y columnas. Cada fila tendrá 20 sillas. ¿Cuántas filas completas podrá formar
dolphi86 [110]

Answer:

  • ¿Cuántas filas completas podrá formar? 17 filas
  • ¿Quedará alguna fila incompleta? Si
  • ¿Con cuantas sillas? 10 sillas
  • ¿Cómo representarías con una división el proceso? 350÷20= 17.5

Step-by-step explanation:

La división es una operación matemática que consiste en averiguar cuántas veces un número está contenido en otro número. En otras palabras, dividir es repartir un número en grupos iguales.

En este caso, deseas repartir 350 sillas en filas, en las cuales entran 20 sillas. Entonces, para conocer cuántas filas completas podes formar haces la división: 350÷20= 17.5

Entonces, se podrán formar 17 filas completas y, al ser 17.5 un número decimal, indica que hay otra fila que quedará incompleta.

Para saber cuántas sillas tendrá la fila incompleta podes realizar el siguiente cálculo: 17 filas*20 sillas= 340, que indica que para completar las 17 filas usas un total de 340 sillas. Si tenes 350, entonces en la fila incompleta hay solo 10 sillas (obtenida mediante la operación 350-340= 10) de las 20 que debería haber, faltando otras 10 sillas para completarla.

Finalmente:

  • <u><em>¿Cuántas filas completas podrá formar? 17 filas</em></u>
  • <u><em>¿Quedará alguna fila incompleta? Si </em></u>
  • <u><em>¿Con cuantas sillas? 10 sillas</em></u>
  • <u><em>¿Cómo representarías con una división el proceso? 350÷20= 17.5 </em></u>
5 0
3 years ago
The first two digits of Oliver's three-digit
lions [1.4K]

Answer:

127

Step-by-step explanation:

7 0
3 years ago
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