You work in a packaging store. A customer brings in a basketball to be put in a box. The available box is 25 centimeters (cm) on all sides, and the ball has a diameter of 9.55 inches.

Will the ball fit inside the box?

O The ball will fit, because its diameter is approximately 12 cm.

O The ball will fit, because its diameter is approximately 14 cm.

O The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

O The ball will not fit, because its diameter is approximately 3 cm longer than the side of the box.

The ball will not fit, because its diameter is approximately 14 cm longer than the side of the box.

Given:

Length of each side of the box = 25  cm

Diameter of the ball = 9.55 inches.

To find:

Whether the ball will fit inside the box.

Solution:

The ball will fit inside the box if the diameter of the ball is less than or equal to length of each side of the box.

Length of each side of the box = 25  cm

We know that, 1 inch = 2.54 cm

Diameter of the ball = 9.55 inches.

                                 = (9.55 × 2.54) cm

                                 = 24.257 cm

Clearly, 24.257 cm < 25 cm. Diameter is approximately 1 cm shorter than the side of the box.

Therefore, the ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

Hence, the correct option is C.

Luis quiere recibir 200$ de más por mes.

Step-by-step explanation:

Para podr calcular esto, necesitamos escribir la desigualdad dada, y para ello debemos transformar el lenguaje a lenguaje algebraico.

tres medios de la cantidad deseada:  3/2 x

mas 4100 (en este caso debería ser $100, y fue un error de tipeo): + 100

son mayor o igual a $700:  ≥ 700

Inecuación: 3/2 x + 100 ≥ 700

Ahora solo nos queda resolver el valor de x de esta inecuación. El resultado nos dirá cuanto quiere recibir al mes, por lo que la resta de esta cantidad con la cantidad que recibía antes nos dirá cuanto de más desea recibir:

3/2 x + 100 ≥ 700

3/2 x ≥ 700 - 100

3/2 x ≥ 600

3x ≥ 600 * 2

x ≥ 1200 / 3

x ≥ 400

Por tanto, Luis desea recibir al mes $400, lo que se traduce en que quiere recibir de más

400 - 200 = 200

Luis desea recibir de mas $200.

Espero te ayude