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2 years ago

Simplify (3 to the power of 3×5 to the power three)-2

Mathematics

1 answer:

Nata [24]2 years ago

8 0

Answer:

(3^3*5^3)-2

(27*125)-2

3375-2=3373

Step-by-step explanation:

(3^3*5^3)-2

(27*125)-2

3375-2=3373

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.

-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

Explanation

Suppose, the cost of one drink is $x$ dollar and cost of one popcorn is $y$ dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

$2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)$

Multiplying equation (1) by -3 , we will get.....

$-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)$

Now, adding equation (2) and equation (3) , we will get ............

$5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75$

Plugging this $y=3.75$ into equation (1) ......

$2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50$

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

6 0

2 years ago

Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizz

Vilka [71]

Answer:

(31.919,42.881)

Step-by-step explanation:

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2 years ago

Are the statements true or false? Select a true or false statement.

spayn [35]

Answer:

true and true

Step-by-step explanation:

i took the test

6 0

3 years ago

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Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre

german

Answer:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^2 h$

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

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3 years ago

A sweater is marked down from $25 to $18. What is the percent of change

zhenek [66]

Answer:

28 percent off is the answer :)

Step-by-step explanation:

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2 years ago

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