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Elena-2011 [213]
2 years ago
6

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.24 before the discount, and

they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent. The total cost of the meal is $
Mathematics
1 answer:
nevsk [136]2 years ago
8 0

so the meal is 78.24 and the tip applies to that amount, now we're assuming "the total cost" means the "price of the meal" plus the tip, so let's first check what the tip is, hmmm 20% of 78.24, if we take 78.24 to be the 100%, what is 20% off of it?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 78.24&100\\ x&20 \end{array}\implies \cfrac{78.24}{x}=\cfrac{100}{20}\implies \cfrac{78.24}{x}=5 \\\\\\ 78.24=5x\implies \cfrac{78.24}{5}=x\implies 15.648=x

we know the meal is going the be discounted by 15% anyway, so if 78.24 is the 100%, how much is 15% off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 78.24&100\\ x&15 \end{array}\implies \cfrac{78.24}{x}=\cfrac{100}{15}\implies \cfrac{78.24}{x}=\cfrac{20}{3} \\\\\\ 234.72=20x\implies \cfrac{234.72}{20}=x\implies 11.736=x

\stackrel{\textit{\large total cost of the meal}}{\stackrel{\textit{original price}}{78.24}-\stackrel{discount}{11.736}+\stackrel{tip}{15.648}}\implies \underset{\textit{rounded up}}{82.15}

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Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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Please help! Brainliest will be given to first to answer
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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LHS=\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}=RHS

5 0
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A wire is attached at the top of a 500 ft vertical antenna and is staked in the ground 1200 ft from the base of the antenna. how
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