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.
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.
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)
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.
Wrong
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.
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese? (1 point)
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.
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)
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.
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
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.
Wrong.
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.
WRONG.
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.
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
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.
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
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.
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
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.
Simpify that answer
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.
Which sensory receptors are involved in hearing?(1 point)
Responses
mechanoreceptors
mechanoreceptors
thermoreceptors
thermoreceptors
chemoreceptors
chemoreceptors
photoreceptors
The sensory receptors involved in hearing are mechanoreceptors.
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
The sensory receptors affected by the condition CIPA (congenital insensitivity to pain with anhidrosis) are thermoreceptors and mechanoreceptors. C
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.