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satela [25.4K]
3 years ago
14

Twelve boxes of pencils cost $16. Which equation could you use to find the cost per box

Mathematics
2 answers:
zheka24 [161]3 years ago
3 0

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ You can use the equation 16 ÷ 12 = 1.33

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

DanielleElmas [232]3 years ago
3 0

Answer:

$1.33 per box

Step-by-step explanation:

To find the cost per box, take the total cost and divide by the number of boxes.

$16/12 boxes

$1.33 per box

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What is the slope? helpppp?
EleoNora [17]

Answer:

slope: -(9/8)

y-intercept: 7

equation: y = -(9/8)x + 7

Step-by-step explanation:

Solve for the slope.

<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (8 , -2)

(x₂ , y₂) = (0 , 7)

Plug in the corresponding numbers to the corresponding variables:

<em>m </em>= (7 - (-2))/(0 - 8)

<em>m</em> = (7 + 2)/(0 - 8)

<em>m</em> = 9/-8

Your slope is -(9/8)

Solve for the y-intercept. Plug in your slope into the slope intercept form:

y = mx + b

Let:

(x , y) = (0 , 7) & m = -(9/8)

Plug in the corresponding numbers to the corresponding variables:

7 = -(9/8)(0) + b

Simplify:

7 = (-9/8 * 0) + b

7 = (0) + b

b = 7

Your y-intercept is 7.

~

7 0
3 years ago
Rewrite the expression in the form y^n
bazaltina [42]

Answer:

$ y^6 $

Step-by-step explanation:

$ \frac{a^b}{a^c} = a^{b - c} $

Using this rule we have:

$ \frac{y^{-7}}{y^{-13}}  = y^{-7 -(-13)} = y^6$

6 0
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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

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1 year ago
What's the distributive property for 68 divided by 4
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This is a plain and simple answer. No distributive property here!

68 ÷ 4 = 17

5 0
3 years ago
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