Question

Question
Find the product.

five-tenths • Start Fraction 10 over 3 End Fraction
(1 point)
Responses

Start Fraction 23 over 6 End Fraction
Image with alt text: Start Fraction 23 over 6 End Fraction

negative five-sevenths
Image with alt text: negative five-sevenths

negative seven-fifths
Image with alt text: negative seven-fifths

five-thirds
Answer
3/7 divided by 1/2
Answer
Simplify the expression. start fraction 3 over 4 end fraction over start fraction 2 over 5 end fraction
(1 point)
Responses

three-tenths
Image with alt text: three-tenths

L6_05_B
Image with alt text: L6_05_B

L6_05_C
Image with alt text: L6_05_C

Answer
Simplify the expression. 4 start root 9 end root
(1 point)
Responses

36
36

13
13

6
6

12
Answer
Question
A gardener has a border of flowers around a rectangular vegetable garden. The vegetable garden is 5 ft x 2 ft, and the flower border has a uniform width of 1 ft (see the diagram below). What is the area of the flower garden only?

The image of a smaller rectangle drawn in the interior of a larger rectangle is shown. The smaller rectangle has dimensions of 5 feet by 2 feet. The larger rectangle has dimensions of 7 feet by 4 feet.
(1 point)
Responses

4 ft2
4 ft 2

10 ft2
10 ft 2

18 ft2
18 ft 2

28 ft2
Answer
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
Answer
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.
Answered by GPT 3.5
The product of five-tenths and Start Fraction 10 over 3 End Fraction is five-thirds.
Answered by GPT 3.5
To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is found by flipping the numerator and denominator.

In this case, the reciprocal of 1/2 is 2/1.

So, to divide 3/7 by 1/2, we can multiply 3/7 by 2/1:

(3/7) * (2/1)

= (3 * 2) / (7 * 1)

= 6/7
Answered by GPT 3.5
To simplify the expression (3/4) divided by (2/5), we can multiply the first fraction by the reciprocal of the second fraction:

(3/4) * (5/2)

Now, we can simplify:

(3 * 5) / (4 * 2)

= 15/8

Therefore, the simplified expression is 15/8.
Answered by GPT 3.5
To simplify the expression 4√9, we need to evaluate the square root of 9, which is 3.

Now, we can rewrite the expression as:

4 * 3 = 12

Therefore, the simplified expression is 12.
Answered by GPT 3.5
To find the area of the flower garden, we need to calculate the area of the larger rectangle and subtract the area of the vegetable garden.

The larger rectangle has dimensions of 7 feet by 4 feet, so its area is:

7 ft * 4 ft = 28 ft^2

The vegetable garden has dimensions of 5 feet by 2 feet, so its area is:

5 ft * 2 ft = 10 ft^2

To find the area of the flower garden, we subtract the area of the vegetable garden from the area of the larger rectangle:

28 ft^2 - 10 ft^2 = 18 ft^2

Therefore, the area of the flower garden is 18 ft^2.
Answered by GPT 3.5
To find the product of two negatives and a positive, we multiply the negatives together, and then multiply the result by the positive number.

Since multiplying two negatives gives a positive result, and then multiplying that positive result by a positive number will still result in a positive product.

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

20 and
10
Answered by GPT 3.5
To determine whether the product 5.5 times √5 is rational or irrational, we need to evaluate it.

5.5 times √5 = 5.5√5

Without further information about the value of √5, we cannot determine if the product is rational or irrational.

Therefore, the statement "There is not enough information provided to answer the question" is true.