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3 years ago

14

Tell whether the statement "All integers are rational numbers" is true or false. Explain your choice.

1 answer:

alekssr [168]3 years ago

3 0

True!!
Bcoz integer numbers are positive and negative whole numbers. Rational numbers ALSO include fractions and decimals...... eg: 10 is an integer which is also a rational number. but keep in mind all rational numbers are not integers. eg 10.1 is a rational number but since integers are only whole positive or negative numbers, it is not an integer.

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A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ar

kiruha [24]

Answer:

The pool can contain <u>4521.6 gallons</u> of water.

Step-by-step explanation:

Given:

The diameter of the cylindrical swimming pool = 16 feet.

And the height of the cylindrical swimming pool = 3 feet.

(1 ft³ = 7.5 gallons)

Now, to find the gallons of water the pool can contain.

So, we find the radius first:

Radius (r) = $\frac{Diameter}{2}$ = $\frac{16}{2} =8\ feet.$

Height (h) = 3 feet.

Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):

$Volume=\pi r^2h$

$Volume=3.14\times 8^2\times 3$

$Volume=3.14\times 64\times 3$

$Volume=602.88\ feet^3.$

<em>Thus, getting the volume of pool 602.88 feet³.</em>

<em>As, given 1 ft³ = 7.5 gallons</em>.

Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:

$602.88\times 7.5$

$=4521.6\ gallons.$

Therefore, the pool can contain <u>4521.6 gallons</u> of water.

7 0

3 years ago

Jan received -22 points on her exam. She got 11 questions wrong out of 50 questions. How much was Jan penalized for eat wrong an

sammy [17]

the answer that i think it is 30

8 0

3 years ago

What is the factored form of this expression? 27m^3 +125n^3

ddd [48]

Answer:

$\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$

Step-by-step explanation:

$27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3$

Apply sum of cubes formula: $x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)$

$\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)$

$\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)$

5 0

3 years ago

Read 2 more answers

dezoksy [38]

(4-3n-5n2)

+( -2+n-3n2)
____________________
-2-2n-8n2

8 0

3 years ago

Read 2 more answers

Write in expanded form 51.242.<br>

lord [1]

Answer:

50 + 1 + $\frac{2}{10}$ + $\frac{4}{100}$ + $\frac{2}{1,000}$

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + $\frac{2}{10}$ + $\frac{4}{100}$ + $\frac{2}{1,000}$

Hope this helps!

3 0

3 years ago