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rosijanka [135]
3 years ago
12

Elizabeth sells popcorn to the students at the annual school dance. She pays $30.00 to rent the popcorn maker and $0.75 in suppl

ies for each bag of popcorn. If Elizabeth buys supplies for p bags of popcorn, which equation expresses her total cost, c, in dollars?
Mathematics
1 answer:
g100num [7]3 years ago
7 0

Answer:

c = $30 + $0.75p

Step-by-step explanation:

total cost = total fixed cost + total variable cost

total fixed cost = $30

Fixed costs are costs that do not vary with output.

total variable cost = variable cost per unit x total unit

p x 0.75

Variable costs are costs that vary with production

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What is the volume of the rectangular prism?
Gnesinka [82]

Answer:

Option (4)

Step-by-step explanation:

Volume of a rectangular prism is given by the formula,

Volume = Length × Width × Height

From the picture attached,

Length of the prism = 5 cm

Width of the prism = 3\frac{3}{4} = \frac{15}{4} cm

Height of the prism = 8\frac{1}{2} = \frac{17}{2} cm

Volume of the given prism = \frac{5}{1} × \frac{15}{4} × \frac{17}{2}

                                             = \frac{5\times 15\times 17}{1\times 4\times 2}

                                             = \frac{1275}{8}

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Therefore, Option (4) is the correct option.

3 0
3 years ago
And Percent na
Alenkasestr [34]

Here's link to the answer:

tinyurl.com/wpazsebu

6 0
3 years ago
Which rectangle will have the largest area?
lorasvet [3.4K]
The answer is C .... for area of a rectangle u multiply length by width    l*w
3 0
3 years ago
3. A submarine dives at an
Vesna [10]

Answer:

The height of deepness of submarine is 424.1 feet  

Step-by-step explanation:

Given as :

The angle at which submarine drives of the surface of water = Ф = 13°

The speed at which submarine travel = s = 760 feet per minute

Let The height of deepness of submarine = h feet

The time taken to reach that deepness = t = 5 minutes

<u>According to question</u>

The height of deepness of submarine = \dfrac{\textrm speed}{\textrm time}

i.e h × cos(90 - Ф) = \dfrac{s}{t}

Or,  h × Sin(Ф) = \dfrac{\textrm 760 feet per min}{8 min}

Or,  h × Sin(13°) = 95 feet

Or,   h × 0.224 = 95 feet

∴  h = \dfrac{95}{0.224}

i.e h = 424.10 feet

So, The height of deepness of submarine = h = 424.10 feet

Hence, The height of deepness of submarine is 424.1 feet  Answer

8 0
3 years ago
Given that tan 0=-4/7 , and 270 degrees &lt;0&lt;360 degrees , what is the exact value of sec0?
Elanso [62]
I take it you meant θ angle, anyway.

we know the tan(θ) = -4/7... alrite, we also know that 270° < θ < 360°, which is another to say that θ is in the IV quadrant, where the adjacent side or "x" value is positive whilst the opposite side or "y" value is negative.

\bf tan(\theta )=\cfrac{\stackrel{opposite}{-4}}{\stackrel{adjacent}{7}}\impliedby \textit{now let's find the \underline{hypotenuse}}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}&#10;\\\\\\&#10;c=\sqrt{7^2+(-4)^2}\implies \implies c=\sqrt{65}\\\\&#10;-------------------------------\\\\&#10;sec(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{65}}}{\stackrel{adjacent}{7}}
6 0
3 years ago
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