A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?

To turn 5/3 into a mixed number, we divide the numerator (5) by the denominator (3) and express the quotient as a whole number and a fraction.

5 ÷ 3 = 1 with a remainder of 2

Therefore, 5/3 as a mixed number is 1 2/3.

To find the height of the son, we need to multiply the height of the basketball player by 1/4.

First, let's convert the basketball player's height to an improper fraction.

6 2/3 = (6*3 + 2)/3

= 20/3

Now, let's multiply the basketball player's height by 1/4 to find the height of his son.

(20/3) * (1/4) = (20*1)/(3*4)= 20/12=5/3

Therefore, the son is 5/3 feet tall.

turn 5/3 into a mixed number

5. A diver searches for a sunken treasure that is 97.2 feet below the surface. What is the diver’s elevation when he is 2/3

of the way down?(1 point)

To find the diver's elevation when he is 2/3 of the way down, we need to determine how far down he has already gone.

Since the treasure is 97.2 feet below the surface, to find how far the diver has already gone, we need to multiply the depth of the treasure by 2/3:

97.2 * (2/3) = 64.8 feet.

Therefore, the diver's elevation when he is 2/3 of the way down is 64.8 feet below the surface.

negative or positive

The diver's elevation when he is 2/3 of the way down would be negative, as he is going further below the surface. Therefore, the elevation would be -64.8 feet.

6. A diver descends at a rate of 8 m/min. Which expression CANNOT be used to find her depth after 5 minutes?(1 point)

Responses

−85
negative 8 over 5

−8/(5)
negative 8 times 5

−8+(−8)+(−8)+(−8)+(−8)
negative 8 plus negative 8 plus negative 8 plus negative 8 plus negative 8

−8−8−8−8−8

The expression that cannot be used to find the diver's depth after 5 minutes is "-8−8−8−8−8".

In this expression, the diver is subtracting 8 meters for each minute, and since 5 minutes have passed, the expression represents the total decrease in depth. However, the question requires finding the depth after 5 minutes, not the decrease in depth. Consequently, this expression does not represent the diver's depth after 5 minutes.

7. In September, a sporting goods store offers a kayak for $378. Over the next four months, the store reduced the price of the kayak $15 each month. What is the price of the kayak at the end of four months?(1 point)