? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what is the height of the mug to the nearest centimeter?

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 equals 0.034 oz.

By unitary method:

0.034 oz = 1

1 oz =

13.46 oz =

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 . Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder =

By cross multiplication:

By dividing both side by 198

Therefore,  height of the mug to the nearest centimeter is 14 cm.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

ummm seems that u didnt post the attachement !