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Ksenya-84 [330]
3 years ago
10

The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be

sure to use this format: whole number numerator/denominator.
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

120 \frac{13}{18}

Step-by-step explanation:

<em><u>The formula for finding the volume of a prism is:</u></em>

V = Bh

<em><u>You have to convert 13 </u></em>\frac{2}{3}<em><u> into an improper fraction, like so:</u></em>

\frac{41}{3}

<em><u>Convert the other:</u></em>

<em><u /></em>\frac{53}{6}

<em><u>Multiply:</u></em>

<em><u /></em>\frac{41}{3} · \frac{53}{6} = \frac{2173}{18}

<em><u>Convert to mixed fraction:</u></em>

120 \frac{13}{18}

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Find the sum.
Strike441 [17]

You are gonna use the distributive property.

4(2.5g - 4) + 3(1.2g - 2)

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4 x 2.5g - 4 x 4 + 3 x 1.2g - 3 x 2

10g - 16 + 3.6g - 6

You wanna combine like terms:

10 - 3.6g + 16 - 6

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6 0
3 years ago
Y = 5x - 10 (solve for x)
worty [1.4K]

Answer:

(y+10)/5

Step-by-step explanation:

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3 years ago
Need an answer thanks in advance​!
slamgirl [31]

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e

24 + 27 + 30 +...

Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

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3 years ago
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Step-by-step explanation:

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