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3 years ago

24 x 12 1/2 x 12 3/4 what is the volume of the fish tank

Mathematics

1 answer:

hjlf3 years ago

5 0

Answer:

The volume is 3825 cubic units

Step-by-step explanation:

To find the volume of the fish tank multiply out the dimensions.

We were given the dimensions as:

$24 \times 12 \frac{1}{2} \times 12 \frac{3}{4}$

Change the numbers to improper fractions

$24 \times \frac{25}{2} \times \frac{51}{4}$

We cancel out to get

$3 \times 25 \times 51$

$3825$

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.

Fudgin [204]

Answer:

$\sf t_{20}= 0$

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

$\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }$

6th term is 14 ⇒ $\sf t_6 = 14$

a + (6 - 1)d = 14

a + 5d = 14 --------------(I)

14th term is 6 ⇒ $\sf t_{14} = 6$

a + (14-1)d = 6

a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

(I) a + 5d = 14

(II) a + 13d = 6

-8d = 8

d = 8 ÷(-8)

$\sf \boxed{\bf d= (-1)}$

Plugin d = -1 in equation (I)

a + 5(-1) = 14

a -5 = 14

a = 14 + 5

$\sf \boxed{\bf a = 19}$

20th term:

$\sf t_{20}= 19 + 19*(-1)$

= 19 - 19

$\sf \boxed{\bf t_{20} = 0}$

8 0

1 year ago

Read 2 more answers

Donald's car gets about 30 miles per gallon. About how many miles can Donald drive on 9.2 gallons of gas? At $3.15 a gallon, abo

denis-greek [22]

<span>30x9.2= 276 miles 9.2x3.15=$28.98 So the car can drive 276 miles if you put $28.98 of gas in it.</span>

8 0

2 years ago

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of

Yanka [14]

It wouldn’t be any of these I don’t think, however I don’t know what the # means.

I thought it would be C = 15 + x(0.20)

Hope this helps

5 0

3 years ago

If the small inner window has a glass area of 153.94 in^2, what is its diameter, in inches?

Wittaler [7]

Answer:

Step-by-step explanation:

1) 153.94 divided by π

2) Simplify 49.00062388 to 49

3) 2√49

4 0

2 years ago

Jonah drives from his car to and from work. The total length of the trip to and from work is 19.2 miles. In August, Jonah worked

natita [175]

ANSWER

The total length of the trip to and from work in August is

$403.2 \: miles$

EXPLANATION

The total length of the trip to and from work is

$19.2 \: miles$

If Jonah worked 21 days in August,

Then, the total length of the trip to and from work is
$= 21 \times 19.2 \: miles$

Change the decimal to fraction and multiply,

$= 21 \times \frac{192}{10} miles$

$= \frac{21 \times 192}{10}$

$= \frac{4032}{10} miles$

Convert back to decimal

$= 403.2 \: miles$

6 0

3 years ago