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Vanyuwa [196]
3 years ago
9

Gerald notices that the bank of lockers outside his math classroom are numbered 511, 513, 515, ..., 575. Determine the number of

lockers in the set.
Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0

Answer:

33

Step-by-step explanation:

(575-511)/2 + 1 = 33

Lera25 [3.4K]3 years ago
3 0
The Answer is 33 I think
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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
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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.

 You 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. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

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

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

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

Finally, 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:

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

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Step-by-step explanation:

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