Question

Use the properties of operations and rules for multiplying and dividing to solve:

(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)

(1 point)

8/9 is the wrong answer.
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)

(1 point)
Answer
Wrong
Answer
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese? (1 point)
Answer
A group of 9 people won 1/5
of a $4,500 prize. How much money did each person in the group win?(1 point)
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
Answer
Wrong.
Answer
WRONG.
Answer
23
Start Fraction 2 over 3 End Fraction

−1/6
negative Start Fraction 1 over 6 End Fraction

−2/3
negative Start Fraction 2 over 3 End Fraction

1/6
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(−2)×(15)÷(23)×(−56)÷(34)

(1 point)
Responses

23
Start Fraction 2 over 3 End Fraction

−16
negative Start Fraction 1 over 6 End Fraction

−23
negative Start Fraction 2 over 3 End Fraction

16
Start Fraction 1 over 6 End Fraction
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)

(1 point)
Responses

2/3
Start Fraction 2 over 3 End Fraction

−1/6
negative Start Fraction 1 over 6 End Fraction

−2/3
negative Start Fraction 2 over 3 End Fraction

1/6
Start Fraction 1 over 6 End Fraction
Answer
Simpify that answer
Answer
Which sensory receptors are involved in hearing?(1 point)
Responses

mechanoreceptors
mechanoreceptors

thermoreceptors
thermoreceptors

chemoreceptors
chemoreceptors

photoreceptors
Answer
A person who has the condition CIPA is unable to feel pain or temperature. Which sensory receptors are affected by this condition?(1 point)
Responses

mechanoreceptors and chemoreceptors
mechanoreceptors and chemoreceptors

chemoreceptors and photoreceptors
chemoreceptors and photoreceptors

thermoreceptors and mechanoreceptors
thermoreceptors and mechanoreceptors

photoreceptors and thermoreceptors
photoreceptors and thermoreceptors
Answer
Which observation could you make based on stimuli to your photoreceptors?(1 point)
Responses

This apple is tart.
This apple is tart.

This apple is red.
This apple is red.

This apple is cold.
This apple is cold.

This apple is lightweight.
Answered by GPT 3.5
To solve the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we can follow the order of operations (parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right).

First, let's simplify the multiplication and division separately:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(8/9) × (-3/4) = -24/36 (-8/12) (we can multiply the numerators together to get -24 and the denominators to get 36)
÷ (1/9) = -24/36 ÷ 1/9 (we can divide by multiplying by the reciprocal)
= -24/36 × 9/1 (flip the fraction and multiply)
= -216/36

Now, let's continue with the rest of the multiplication and division:
-216/36 × (-4/5) ÷ (3/5)
-216/36 × -4/5 = 864/180 (-216/45) (multiply the numerators and denominators separately)
÷ (3/5) = 864/180 ÷ 3/5
= 864/180 × 5/3 (flip the fraction and multiply)
= (864 × 5) / (180 × 3)
= 4320/540 (multiply the numerators and denominators separately)
= 8 (simplify the fraction)

Therefore, the final answer is 8.
Answered by GPT 3.5
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can follow the order of operations (parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right).

First, let's simplify the multiplication and division separately:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(−3/5) × (5/16) = -15/80 (multiply the numerators and denominators separately)
× (7/12) = -15/80 × 7/12
= -105/960 (multiply the numerators and denominators separately)
÷ (−3/16) = -105/960 ÷ -3/16
= -105/960 × −16/3 (flip the fraction and multiply)
= 1680/2880 (multiply the numerators and denominators separately)
× (−5/7) = 1680/2880 × −5/7
= -8400/20160 (multiply the numerators and denominators separately)

Now, let's simplify the fraction:
-8400/20160
= -7/16 (divide both the numerator and denominator by their greatest common divisor, which is 840)

Therefore, the final answer is -7/16.
Answered by GPT 3.5
Apologies for the incorrect response. Let's correct the solution:

To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can follow the order of operations:

First, let's simplify the multiplication:
(−3/5) × (5/16) × (7/12) = (−3 × 5 × 7) / (5 × 16 × 12) = -105 / 960

Next, let's simplify the division:
-105 / 960 ÷ (−3/16) × (−5/7) = (-105 / 960) ÷ (-3/16) × (-5/7)

To divide fractions, we multiply by the reciprocal of the divisor:
(-105 / 960) ÷ (-3/16) = (-105 / 960) × (16 / -3) = (-105 × 16) / (960 × -3)

Now, we can simplify the numerator and denominator:
(-105 × 16) = -1680
(960 × -3) = -2880

Thus, the expression becomes:
-1680 / -2880 × (-5/7)

To multiply fractions, we multiply numerators together and denominators together:
-1680 / -2880 × (-5/7) = (-1680 × -5) / (-2880 × 7)

Simplifying the numerator and denominator:
(-1680 × -5) = 8400
(-2880 × 7) = -20160

The expression simplifies to:
8400 / -20160

To simplify further, we can divide the numerator and denominator by their greatest common divisor, which is 840:
8400 / -20160 = 10 / -24

The fraction can be simplified:
10 / -24 = -5 / 12

Therefore, the final answer is -5/12.
Answered by GPT 3.5
To find the number of ounces in 1/2 of 1/5 of a 10-ounce block of cheese, we can multiply the fractions:

1/2 * 1/5 * 10

To multiply fractions, we multiply the numerators together and multiply the denominators together:

1/2 * 1/5 * 10 = (1 * 1 * 10) / (2 * 5) = 10/10

Since the numerator and denominator are equal, the fraction simplifies to 1.

Therefore, there are 1 ounce in 1/2 of 1/5 of a 10-ounce block of cheese.
Answered by GPT 3.5
To find out how much money each person in the group won, we need to divide the total prize by the number of people in the group.

The group won 1/5 of a $4,500 prize. To find out how much that is, we can multiply the prize by 1/5:

1/5 * $4,500 = (1/5) * $4,500 = $4,500 / 5 = $900

So, the group won $900.

To find out how much money each person in the group won, we need to divide the total amount won by the number of people in the group (9):

$900 / 9 = $100

Therefore, each person in the group won $100.
Answered by GPT 3.5
To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we can follow the order of operations (parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right).

First, let's simplify the multiplication and division separately:
(−2)×(1/5) = -2/5 (multiply the numbers)
÷ (2/3) = -2/5 ÷ 2/3 (divide by multiplying by the reciprocal)
= -2/5 × 3/2 (flip the fraction and multiply)
= -6/10 (multiply the numerators and denominators separately)

Next, let's continue with the rest of the multiplication and division:
-6/10 × (−5/6) ÷ (3/4)
= -6/10 × -5/6 (multiply the numerators and denominators separately)
= 30/60 (multiply the numerators and denominators separately)
= 1/2 (simplify the fraction)

Therefore, the final answer is 1/2.
Answered by GPT 3.5
Apologies for the incorrect response. Let's correct the solution:

To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we can follow the order of operations:

First, let's simplify the multiplication and division separately:
(−2) × (1/5) = (−2/1) × (1/5) = −2/5

Next, let's simplify the division:
−2/5 ÷ (2/3) × (−5/6) ÷ (3/4) = (−2/5) ÷ (2/3) ÷ (−5/6) ÷ (3/4)

To divide fractions, we multiply by the reciprocal of the divisor:
(−2/5) ÷ (2/3) = (−2/5) × (3/2) = (−2 × 3) / (5 × 2) = (−6/10) = −3/5

Now, we can simplify the rest of the division and multiplication:
−3/5 ÷ (−5/6) ÷ (3/4) = (−3/5) ÷ (−5/6) × (4/3)

To divide fractions, we multiply by the reciprocal of the divisor:
(−3/5) ÷ (−5/6) = (−3/5) × (6/−5) = (−3 × 6) / (5 × −5) = (−18/−25) = 18/25

Now, we can continue with the multiplication:
18/25 × (4/3) = (18 × 4) / (25 × 3) = 72/75

To simplify this fraction, we can find the greatest common divisor of 72 and 75, which is 3. Dividing both the numerator and denominator by 3:

72/75 = (72 ÷ 3) / (75 ÷ 3) = 24/25

Therefore, the final answer is 24/25.
Answered by GPT 3.5
Apologies for the previous incorrect response. Let's correct the solution:

To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we can follow the order of operations:

First, let's simplify the multiplication and division separately:
(−2)×(1/5) = −2/5 (multiply the numbers)
÷ (2/3) = −2/5 ÷ 2/3 (divide by multiplying by the reciprocal)
= −2/5 × 3/2 (flip the fraction and multiply)
= −6/10 (multiply the numerators and denominators separately)

Next, let's continue with the rest of the multiplication and division:
−6/10 × (−5/6) = −6/10 × −5/6 (multiply the numerators and denominators separately)
= 30/60 (multiply the numerators and denominators separately)

Now, let's simplify the fraction 30/60:
To simplify, we can divide the numerator and denominator by their greatest common divisor, which is 30.
30/60 = (30/30) / (60/30) = 1/2

Therefore, the final answer is 1/2.
Answered by GPT 3.5
Apologies for the confusion earlier. Let's solve the expression correctly:

To calculate (2/3) - (-1/6) - (-2/3) + (1/6), we can use the properties of operations:

(2/3) - (-1/6) - (-2/3) + (1/6)

To add and subtract fractions, we need to find a common denominator. In this case, the common denominator is 6.

Rewriting the expression with the common denominator:

(4/6) - (-1/6) - (-4/6) + (1/6)

Now, we can simplify the expression:

(4/6) + (1/6) - (-4/6) + (1/6)

Combine like terms:

(4 + 1 - (-4) + 1) / 6

Simplifying the numerator:

(4 + 1 + 4 + 1) / 6 = (10) / 6 = 10/6

The fraction 10/6 can be simplified further by dividing the numerator and denominator by their greatest common divisor, which is 2:

(10/6) ÷ 2 = (5/3) ÷ 2 = 5/6

Therefore, the final answer is 5/6.
Answered by GPT 3.5
To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we can follow the order of operations:

Let's simplify the multiplication and division separately:

(-2) × (15) ÷ (23) × (-56) ÷ (34)

= (-30) ÷ (23) × (-56) ÷ (34) (multiply -2 and 15)

= (-30 × -56) ÷ (23 × 34) (multiply the numerators and denominators)

= 1680 ÷ 782 (calculate the resulting values)

Now, we can continue with the division:

1680 ÷ 782 ≈ 2.15089762

Rounded to one decimal place, the resulting value is approximately 2.2.

Therefore, the final answer is approximately 2.2.
Answered by GPT 3.5
To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we can follow the order of operations (parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right).

First, let's simplify the multiplication and division separately:
(−2) × (1/5) = (−2/1) × (1/5) = −2/5

Next, let's simplify the division:
−2/5 ÷ (2/3) × (−5/6) ÷ (3/4) = (−2/5) ÷ (2/3) ÷ (−5/6) ÷ (3/4)

To divide fractions, we multiply by the reciprocal of the divisor:
(−2/5) ÷ (2/3) = (−2/5) × (3/2) = (−2 × 3) / (5 × 2) = (−6/10) = −3/5

Now, we can simplify the rest of the division and multiplication:
−3/5 ÷ (−5/6) ÷ (3/4) = (−3/5) ÷ (−5/6) × (4/3)

To divide fractions, we multiply by the reciprocal of the divisor:
(−3/5) ÷ (−5/6) = (−3/5) × (6/−5) = (−3 × 6) / (5 × −5) = (−18/−25) = 18/25

Now, we can continue with the multiplication:
18/25 × (4/3) = (18 × 4) / (25 × 3) = 72/75

To simplify this fraction, we can find the greatest common divisor of 72 and 75, which is 3. Dividing both the numerator and denominator by 3:

72/75 = (72 ÷ 3) / (75 ÷ 3) = 24/25

Therefore, the final answer is 24/25.
Answered by GPT 3.5
To simplify the fraction 24/25, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:

24/25 ÷ 1/1 = 24/25

Therefore, the simplified answer is 24/25.
Answered by GPT 3.5
The sensory receptors involved in hearing are mechanoreceptors.
Answered by GPT 3.5
The sensory receptors affected by the condition CIPA (congenital insensitivity to pain with anhidrosis) are thermoreceptors and mechanoreceptors. C