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Nana76 [90]
3 years ago
7

Which equation gives the number of 1/3 inches that are in 5/6inch?

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

2\frac{1}{2}

Step-by-step explanation:

Let

x ----> the number of 1/3 in that are in 5/6 in

To find out the number of 1/3 in that are in 5/6 in, divide 5/6 by 1/3

so

x=\frac{5}{6}:\frac{1}{3}

Multiply in cross

x=\frac{15}{6}

Convert to mixed number

\frac{15}{6}=\frac{12}{6}+\frac{3}{6}=2\frac{3}{6}=2\frac{1}{2}

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A plant produces 500 units/hour of an item with dimensions of 4” x 6” x 2”. The manager wants to store two weeks of supply in co
mart [117]

Answer:

  564 ft²

Step-by-step explanation:

To account for the extra space between units, we can add 2" to every unit dimension and every box dimension to figure the number of units per box.

Doing that, we find the storage box dimensions (for calculating contents) to be ...

  3 ft 2 in × 4 ft 2 in × 2 ft 2 in = 38 in × 50 in × 26 in

and the unit dimensions to be ...

  (4+2)" = 6" × (6+2)" = 8" × (2+2)" = 4"

A spreadsheet can help with the arithmetic to figure how many units will fit in the box in the different ways they can be arranged. (See attached)

When we say the "packing" is "462", we mean the 4" (first) dimension of the unit is aligned with the 3' (first) dimension of the storage box; the 6" (second) dimension of the unit is aligned with the 4' (second) dimension of the storage box; and the 2" (third) dimension of the unit is aligned with the 2' (third) dimension of the storage box. The "packing" numbers identify the unit dimensions, and their order identifies the corresponding dimension of the storage box.

We can see that three of the four allowed packings result in 216 units being stored in a storage box.

If storage boxes are stacked 4 deep in a 9' space, the 2' dimension must be the vertical dimension, and the floor area of each stack of 4 boxes is 3' × 4' = 12 ft². There are 216×4 = 864 units stored in each 12 ft² area.

If we assume that 2 weeks of production are 80 hours of production, then we need to store 80×500 = 40,000 units. At 864 units per 12 ft² of floor space, we need ceiling(40,000/864) = 47 spaces on the floor for storage boxes. That is ...

  47 × 12 ft² = 564 ft²

of warehouse floor space required for storage.

_____

The second attachment shows the top view and side view of units packed in a storage box.

4 0
3 years ago
A test consists of 10 problems and students are told to answer any 4 of these questions. In how many different ways can they cho
ki77a [65]
In this item, it is not given that there has to be specific arrangement or order as to how the questions are going to be answered. Hence, the concept that can be used in order to answer this item is the concept of combination which states that, 
            nCr = n! / (r!)(n - r)!

This is read as "combination of n taken r". In this item, n = 10 and r = 4. Substituting the known vaues to the equation,
          10C4 = (10!) / (4!)(10 - 4)!
          10C4 = 210

Therefore, the number of which is which the questions can be answered is 210. 
6 0
3 years ago
How do the height and base length of the two triangles compare to the height and base length of the original piece of paper?
notka56 [123]

Answer : The two dimensions are the same in the triangles as they were in the rectangle.

4 0
3 years ago
If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
GarryVolchara [31]

Answer:

B

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Angle 4 × Angle 3 = 90

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x = 6

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5 0
3 years ago
Read 2 more answers
Translate the product of 8 and the quotient of 6 and x into an algebraic expression​
WINSTONCH [101]

Answer:

3 x

x + y

Step-by-step explanation:

(think about it with a horizontal line between the two numbers)

When using fractions and whole numbers turn the whole numbers into fractions like ---> 3/1

and if their like 3 5/6 (for example) you would multiply the denominator by the whole number ---> 3*6=18 then add what's on the numerator with it. so 18+5=23 which would make it 23/6

Just some tips for making it easier!

Hope it helps! :)

4 0
3 years ago
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