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Softa [21]
3 years ago
10

If someone charges 18 cents per square inch for frames how much will they charge for a frame that measures 16 inches on each sid

e and has a width of 2 inches
Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

<h3>2,106 cents</h3>

Step-by-step explanation:

If the frame that measures 16 inches from each sides has a width of 2 inches the length and width of the internal picture will be 4 inches smaller than that of the frame itself is shown below.

Length of the picture in the frame = 16 inches - ( 2inches + 2 inches)

Length of the picture in the frame = 16 inches -4 inches

Length of the picture in the frame = 12 inches

Width will also be 12 inches

Area of the entire frame (plus picture) = 16 * 16 = 256 in²

Area of the picture = 12*12 = 144in²

Area of the frame only = 256 - 144

Area of the frame only = 112 in²

If the frames are charged 18 cents per square inch, a frame with 112 square inches will be charged (18*112) cents 2016 cents

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Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

5 0
3 years ago
What rational number equals 0.1111111111
Katen [24]

Answer:

1/9

Step-by-step explanation:

1/9 is a fraction, so it is rational.

6 0
2 years ago
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a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
What is the question?
max2010maxim [7]

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate <em>y</em>

5y = 20

y = 4

Step 6: Find <em>x</em>

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

7 0
3 years ago
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If no number can be used more than once, how many different 2-digit numbers can be formed from the digits 4, 6, and 8?
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Answer:

Six.

46

48

64

68

84

86

Step-by-step explanation:

hoped this helped!

4 0
3 years ago
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