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
The product of five-tenths and Start Fraction 10 over 3 End Fraction is five-thirds.
3/7 divided by 1/2
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
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
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.
Simplify the expression. 4 start root 9 end root
(1 point)
Responses
36
36
13
13
6
6
12
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.
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
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.
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