Which product will be rational?

Which product will be rational?

(1 point)
Responses

17 point Modifying Above 12 with bar times 33
Image with alt text: 17 point Modifying Above 12 with bar times 33

start root 3 end root times start root 9 end root
Image with alt text: start root 3 end root times start root 9 end root

4 times pi
Image with alt text: 4 times pi

negative start root 20 end root times 15

The product that will be rational is 4 times pi.

A whole number is added to a number with two digits after the decimal point. To make sure the answer is reasonable, how many digits should the sum have after the decimal point?

(1 point)
Responses

none
none

1
1

2
2

infinitely many
infinitely many

To make sure the answer is reasonable, the sum should have the same number of digits after the decimal point as the number with two digits after the decimal point. Therefore, the answer is 2.

Which of the following cereals is the best buy?

(1 point)
Responses

28 oz. of cereal for $4.29
28 oz. of cereal for $4.29

32 oz. of cereal for $4.59
32 oz. of cereal for $4.59

36 oz. of cereal for $4.79
36 oz. of cereal for $4.79

24 oz. of cereal for $3.59

To determine the best buy, we need to compare the price per ounce of each cereal.

For the first option, the price per ounce is 4.29 / 28 = $0.1532 per ounce.
For the second option, the price per ounce is 4.59 / 32 = $0.1434 per ounce.
For the third option, the price per ounce is 4.79 / 36 = $0.1331 per ounce.
For the fourth option, the price per ounce is 3.59 / 24 = $0.1496 per ounce.

Therefore, the best buy would be the third option, 36 oz. of cereal for $4.79, with a price per ounce of $0.1331.

Which statement about the product is true?

5.5 times StartRoot 5 EndRoot
(1 point)
Responses

The product is rational.
The product is rational.

The product is irrational.
The product is irrational.

The product is neither rational nor irrational.
The product is neither rational nor irrational.

There is not enough information provided to answer the question.

The statement "The product is irrational" is true.

Which of the following are reasonable answers for the product of two negatives and a positive?

(1 point)
Responses

20
20

10
10

Negative 20
Image with alt text: Negative 20

Negative 10
Image with alt text: Negative 10

The reasonable answers for the product of two negatives and a positive are:

-20
-10

Which expression is equivalent to (–2)(a + 6)?

(1 point)
Responses

–2a + 6
–2 a + 6

2a + 12
2 a + 12

–2a – 12
–2 a – 12

–2a + 12

The expression that is equivalent to (–2)(a + 6) is -2a - 12.

To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.

(1 point)
Responses

whole numbers
whole numbers

rational numbers
rational numbers

integers
integers

irrational numbers
irrational numbers

natural numbers

The number -22 belongs to the following subsets of real numbers:

Integers
Rational numbers

What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"

(1 point)
Responses
6b – p
6 b – p

6(b – p)
6( b – p )

6 – bp
6 – bp

6bp
6 bp

The algebraic expression for the word phrase "6 times the difference of b and p" is 6(b - p).

What is the simplified form of the expression?

Start Fraction 5 left-parenthesis 14 minus 2 right-parenthesis squared over 2 End Fraction
(1 point)
Responses

60
60

30
30

72
72

360

The simplified form of the expression is 30.

Evaluate u + xy, if u = 18, x = 10, and y = 8.

(1 point)
Responses

188
188

36
36

98
98

224

To evaluate the expression u + xy with u = 18, x = 10, and y = 8, we substitute the values into the expression:

u + xy = 18 + 10 * 8 = 18 + 80 = 98.

Therefore, the value of u + xy is 98.

Note: Your teacher will grade your response to ensure that you receive proper credit for your answers.

A square field has an area of 479 ft2. What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.
(2 points)

To find the length of a side of the square field, we can take the square root of its area.

√479 ≈ 21.9

Therefore, the approximate length of a side of the field is 22 feet (rounded to the nearest foot).

This is because the square root of 479 is between 21 and 22, and when we round to the nearest foot, we round up to 22.