3 years ago

Under what operations are the set of integers closed? Explain your answer.

1 answer:

6 0

Integers are closed under addition, subtraction, and multiplication.Integers are not closed under division, For example, 1 divided by 3 is not an integer.

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A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible

Charra [1.4K]

Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

$Volume = 565L$

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

$Volume = Length^3$

This gives:

$565L= Length^3$

Express as $m^3$

$\frac{565m^3}{1000} = Length^3$

$0.565m^3 = Length^3$

Take cube roots of both sides

$0.8267m = Length$

Rewrite as:

$Length = 0.8267m$

Approximate

$Length = 0.83m$

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3 years ago

A restaurant can seat 100 people. It has booths that seat 4 people and tables that seat 6 people. So far 5of the booths are full

Pachacha [2.7K]

How many booths and tables are there altogether?

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3 years ago

What is the product of a+3 and −2a2+15a+6b2?

Arte-miy333 [17]

Answer:

Step-by-step explanation:

(a + 3)×(−2a² + 15a + 6b²) =

= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =

= -2a³ + <u>15a²</u> + 6ab² - <u>6a²</u> + 45a + 18b² =

= -2a³ + 9a² + 6ab² + 45a + 18b²

8 0

2 years ago

Read 2 more answers

One endpoint (-1,-5) Midpoint (2,3)

Alecsey [184]

I don’t know the answer but I need a answer to this

4 0

3 years ago

The sum of three numbers is 8. twice the smaller is 2 less than the largest, while the sum of the largest and smallest is 5. use

Lorico [155]

X + Y + Z = 8
2x = Z - 2
X + Z = 5
X = 1
1 + Y + Z = 8
Y + Z = 6
1 + Z = 5
Z = 4
1 + Y + 4 = 8
5 + Y = 8
Y = 3
The variables are 1, 3, 4.

4 0

3 years ago