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Shalnov [3]
3 years ago
11

a hockey team ordered 12 wooden pedestals to mount their brass trophies on. The design pedestal is shown below. The teal is char

ge $0.08 per cubic inch of wood. What is the total cost of the order, rounded to the nearest dollar?

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
8 0

56 cause u need 12 divide by 0.08 12 times

dsp733 years ago
7 0

Answer:

Total charge for wooden pedestal will be $1136

Step-by-step explanation:

Volume of the pedestal will be = volume of cube + volume of the cone

= (Side)³ + \frac{1}{3}(\pi r^{2}h)

= 10³ + \frac{1}{3}[\pi (\frac{10}{2})^{2}(7)]

= 1000 + \frac{1}{3}[\pi 5^{2}(7)]

= 1000 + \frac{1}{3}[\pi (25)(7)]

= 1000 + \frac{1}{3}[(3.14)(25)(7)]

= 1000 + 183.17

= 1183.17 cubic inch

Total volume of 12 wooden pedestals = 12 × 1183.17 = 14198 cubic inch

Since charges of the wood is $0.08 per cubic inch

So total charges for pedestal will be = 0.08 × 14198 = $1135.84 ≈ $1136

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Let's first establish what we already know for this problem.

x = total number of hotdogs sold
y = total profit from total sales of hotdogs

Let's also establish the other equations which we will require in order to solve this problem.

Equation No. 1 -
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Equation No. 2 -
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STEP-BY-STEP SOLUTION

From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:

Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:

Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40

Now, make b the subject in the second equation as displayed below:

Equation No. 2 -
y = mx + b
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210 = 80m + b
b = 210 - 80m

Then, substitute m from the first equation into the second equation.

Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
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Now, substitute b from the second equation into the first equation.

Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
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Through this, we have established that:

m = 3
b = - 30

Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:

y = mx + b
y = ( 3 )x + ( - 30 )

ANSWER:
y = 3x - 30
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Answer:

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