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3 years ago

Write the word sentence as an inequality. A number x minus 1/4 is no more than -3/4

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

Answer:

x-1/4 ≤-3/4

Step-by-step explanation:

A number x

minus 1/4

x-1/4

is no more than (it cannot be greater than , but it can be equal to)

x-1/4 ≤

-3/4

x-1/4 ≤-3/4

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Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

6 0

3 years ago

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an<br> inch?

GREYUIT [131]

We know that,

Volume of sphere = 4/3πr³

72 = 4/3 × 22/7 × r³

72 × 21/88 = r³

³√17.18 = r

2.58 cm = r

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2 years ago