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4 years ago

Need help solving this -2=-(n-8)

Mathematics

1 answer:

AlexFokin [52]4 years ago

6 0

Answer:

The answer is 10

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An industrial model builder need several pieces of wire that are 7 3/8 inches long. How many whole pieces of wire of this length

serg [7]

Answer: 13 whole pieces of wire can be cut from that spool and $4.125\ inches$ of wire is left over.

Step-by-step explanation:

Convert from mixed number to improper fraction. To do it you must multiply the whole numbe part by the denominator of the fraction and then add the product to the numerator. The denominator does not change. Then:

$7\frac{3}{8}in=\frac{(7*8)+3}{8}in=\frac{59}{8}in$

Since the spool contains 100 inches of wire, you must divide this lenght by $\frac{59}{8}in$ :

$\frac{100in}{\frac{59}{8}in}=\frac{800}{59}$

Convert from improper fraction to mixed number:

- When you divide the numerator 800 by the denominator 59, the quotient is 13 (this is the whole number part)

- The remainder is 33 (This is the numerator of the fraction).

- The denominator does not change.

Then:

$13\frac{33}{59}$

Therefore 13 whole pieces can be cut from that spool.

The amount of wire left over is:

$100in-(\frac{59}{8}in)(13)=4.125in$

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Read 2 more answers

What is the smallest perimeter possible for a rectangle whose area is 16 in2, and what

siniylev [52]

A = 4,

we denote one side of the rectangle with
a
, and the other with
b
we can write, that:
a
⋅
b
=
16

so we can write, that
b
=
16
a
Now we can write perimeter
P
as a function of
a
P
=
2
⋅
(
a
+
16
a
)
We are looking for the smallest perimeter, so we have to calculate derivative:
P
(
a
)
=
2
a
+
32
a
P
'
(
a
)
=
2
+
(
−
32
a
2
)
P
'
(
a
)
=
2
−
32
a
2
=
2
a
2
−
32
a
2
The extreme values can only be found in points where
P
'
(
a
)
=
0
P
'
(
a
)
=
0
⇔
2
a
2
−
32
=
0
2
a
2
−
32
=
0

x
a
2
−
16
=
0

×
x
.
.
a
2
=
16

×
×
x
a
=
−
4
or
a
=
4
Since, length is a scalar quantity, therefore, it cannot be negative,
When
a
=
4
,
b
=
16
4

b
=
4

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