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Hatshy [7]
3 years ago
14

Your teacher just bought a new aquarium that is a rectangular prism. If his/her aquarium has a length 48 inches, a width of 36 i

nches and a height of 30 inches, what is the aquarium’s volume?
Mathematics
1 answer:
ElenaW [278]3 years ago
6 0

The volume of the rectangular aquarium prism will be 51840 cubic inches.

<h3>What is a rectangular prism?</h3>

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

More about the rectangular prism link is given below.

brainly.com/question/12649592

#SPJ4

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7x + 8y = 25 9x + 10y =35 elimination method please​
djverab [1.8K]

7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 =  \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x  = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\

\\\text{Hence}~ (x,y) = (15,-10)

3 0
2 years ago
Find the sum of the first 20 terms of the sequence -7, -3, 1,…
andriy [413]

Answer:

620

Step-by-step explanation:

The formula to find the sum of the first n terms of an arithmetic sequence is n(a1 + aN)/2, where n is the number of terms,  aN is the last term and a1 is the first term. We do not know the last term, though, so we must find it. The equation for this is an=a1+(n−1)d, where d is the common difference and a1 is the first term, and n is the number of terms. Therefore, the last term, an is, -7+(19)4 = 69.

Finally, we plug it into the first formula, the formula to find the sum, and we get 20*(-7+69)/2, which gives us 620 as our final answer.

4 0
3 years ago
Every morning, Matthew fills his dog’s water dish with 16 oz of water. If his dog finishes his water every day, how many ounces
Hatshy [7]
Answer:
112 oz. OR also, 3.5 quarts

Explanation
7 days in a week so therefore
16 x 7: 112
112oz or in pints 3.5
8 0
3 years ago
For each sequences, find the first 4 term and the 10th term the sequences are
jek_recluse [69]

Answer:

see explanation

Step-by-step explanation:

to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule

to find the 10th term substitute n = 10 into the rule

(a)

a₁ = 1² + 3 = 1 + 3 = 4

a₂ = 2² + 3 = 4 + 3 = 7

a₃ = 3² + 3 = 9 + 3 = 12

a₄ = 4² + 3 = 16 + 3 = 19

a₁₀ = 10² + 3 = 100 + 3 = 103

(b)

a₁ = 2(1)² = 2(1) = 2

a₂ = 2(2)² = 2(4) = 8

a₃ = 2(3)² = 2(9) = 18

a₄ = 2(4)² = 2(16) = 32

a₁₀ = 2(10)² = 2(100) = 200

3 0
3 years ago
In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.
MrRissso [65]

Answer:

7 the answer is 7

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 20 is 100%, so we can write it down as 20=100%.

4. We know, that x is 35% of the output value, so we can write it down as x=35%.

5. Now we have two simple equations:

1) 20=100%

2) x=35%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

20/x=100%/35%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35% of 20

20/x=100/35

(20/x)*x=(100/35)*x       -

20=2.85714285714*x       -

20/2.85714285714=x

7=x

x=7

now we have:

35% of 20=7

we multiply both sides by x

then we divide both sides by 2.85714285714 to get x

3 0
4 years ago
Read 2 more answers
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