To find the quotient –7 ÷ 14/3, we can multiply the dividend –7 by the reciprocal of the divisor 14/3.
Reciprocal of 14/3 = 3/14.
So, –7 ÷ 14/3 is equal to –7 * 3/14.
Multiplying,
–7 * 3/14 = –21/14 = –3/2.
Therefore, the quotient is negative three-halves.
Find the quotient.
–7 ÷ 14/3
(1 point)
Responses
negative two-thirds
Image with alt text: negative two-thirds
negative ninety-eight-thirds
Image with alt text: negative ninety-eight-thirds
negative one-half
Image with alt text: negative one-half
negative three-halves
15 answers
Find the quotient.
–7 ÷ 14/3
(1 point)
Responses
negative two-thirds
Image with alt text: negative two-thirds
negative ninety-eight-thirds
Image with alt text: negative ninety-eight-thirds
negative one-half
Image with alt text: negative one-half
negative three-halves
–7 ÷ 14/3
(1 point)
Responses
negative two-thirds
Image with alt text: negative two-thirds
negative ninety-eight-thirds
Image with alt text: negative ninety-eight-thirds
negative one-half
Image with alt text: negative one-half
negative three-halves
To find the quotient –7 ÷ 14/3, we can multiply the dividend –7 by the reciprocal of the divisor 14/3.
The reciprocal of 14/3 is 3/14.
Therefore, –7 ÷ 14/3 = –7 * 3/14.
Next, we can simplify the multiplication:
–7 * 3 = –21,
14/3 = 4 2/3.
So, –7 ÷ 14/3 is equal to –21 / 4 2/3.
To divide by a fraction, we can multiply by its reciprocal:
–21 / 4 2/3 = –21 * 3/14.
Now, let's multiply:
-21 * 3 = -63,
14 * 3 = 42.
Therefore, –21 / 4 2/3 = -63 / 42.
We can further simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 21:
-63 / 42 = -3 / 2.
So, the quotient is negative three-halves.
The reciprocal of 14/3 is 3/14.
Therefore, –7 ÷ 14/3 = –7 * 3/14.
Next, we can simplify the multiplication:
–7 * 3 = –21,
14/3 = 4 2/3.
So, –7 ÷ 14/3 is equal to –21 / 4 2/3.
To divide by a fraction, we can multiply by its reciprocal:
–21 / 4 2/3 = –21 * 3/14.
Now, let's multiply:
-21 * 3 = -63,
14 * 3 = 42.
Therefore, –21 / 4 2/3 = -63 / 42.
We can further simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 21:
-63 / 42 = -3 / 2.
So, the quotient is negative three-halves.
Which sum will be irrational?
(1 point)
3 + 2
square root of 19+ 7/2
18/3 + 11/100000
–6 + (–3.251)
(1 point)
3 + 2
square root of 19+ 7/2
18/3 + 11/100000
–6 + (–3.251)
The sum that will be irrational is the square root of 19 + 7/2.
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
(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
(1 point)
Responses
none
none
1
1
2
2
infinitely many
To make sure the answer is reasonable when adding a whole number to a number with two digits after the decimal point, the sum should have 2 digits after the decimal point.
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
(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 among the given options, we need to compare the price per ounce of each cereal.
For the first option, we have 28 oz. of cereal for $4.29.
Price per ounce = $4.29 / 28 = $0.153
For the second option, we have 32 oz. of cereal for $4.59.
Price per ounce = $4.59 / 32 = $0.143
For the third option, we have 36 oz. of cereal for $4.79.
Price per ounce = $4.79 / 36 = $0.133
For the fourth option, we have 24 oz. of cereal for $3.59.
Price per ounce = $3.59 / 24 = $0.149
From the calculations, the cereal with the lowest price per ounce is the third option: 36 oz. of cereal for $4.79.
Therefore, the best buy among the given options is 36 oz. of cereal for $4.79.
For the first option, we have 28 oz. of cereal for $4.29.
Price per ounce = $4.29 / 28 = $0.153
For the second option, we have 32 oz. of cereal for $4.59.
Price per ounce = $4.59 / 32 = $0.143
For the third option, we have 36 oz. of cereal for $4.79.
Price per ounce = $4.79 / 36 = $0.133
For the fourth option, we have 24 oz. of cereal for $3.59.
Price per ounce = $3.59 / 24 = $0.149
From the calculations, the cereal with the lowest price per ounce is the third option: 36 oz. of cereal for $4.79.
Therefore, the best buy among the given options is 36 oz. of cereal for $4.79.
Which statement about the product is true?
5.5 * the square Root of 5
(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.
5.5 * the square Root of 5
(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 about the product 5.5 * the square root of 5 is that it is irrational.
Which of the following are reasonable answers for the product of two negatives and a positive?
(1 point)
Responses
20
10
-20
-10
(1 point)
Responses
20
10
-20
-10
The reasonable answers for the product of two negatives and a positive are:
-20 and -10.
-20 and -10.