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Arturiano [62]
3 years ago
6

If Jacob has 12 gallons of soda for a Christmas party, how many pints of soda does he have?

Mathematics
1 answer:
diamong [38]3 years ago
8 0
12 gallons = 96 us liquid pints.
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A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from a bag. What is the theo
alexandr1967 [171]

Answer:

⅓

Step-by-step explanation:

8+7+6

total= 21

blue= 7÷21

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7 0
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What is the sum of all measures of the interior angles of a regular pentagon?
Ugo [173]
There are 540 degrees total in the interior angles of a regular pentagon.

Just so you know, the total degrees of interior angles goes up by 180 degrees.

A triangle is 180 degrees, a quadrilateral 360, and a pentagon 540.
6 0
3 years ago
Describe a relationship in which one quantity increases as another quantity decreases
Morgarella [4.7K]
Inversely proportional
4 0
3 years ago
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
nata0808 [166]

Answer:

The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0
3 years ago
Is 500 x 30 a good estimate for the number of tickets sold at the number of tickets sold at the theater in one month
salantis [7]

Answer:

It depends if business is steady. If they make about 500 a day that is a fair estimate. Make sure that the month you are talking about has 30 days.

3 0
3 years ago
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