To solve this expression, we follow the order of operations (PEMDAS/BODMAS).
First, we simplify the expressions inside the parentheses:
1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
= 1/2 (4 + 4) ÷ (6 × 4 ÷ 8)
= 1/2 (8) ÷ (6 × 4 ÷ 8)
Next, we simplify the division within the numerator and denominator:
1/2 (8) ÷ (6 × 4 ÷ 8)
= 1/2 (8) ÷ (24 ÷ 8)
= 1/2 (8) ÷ (3)
= 1/2 * 8/3
= 8/6
Finally, we simplify the fraction:
8/6 = 4/3
Therefore, 1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8) simplifies to 4/3.
Simplify: 1/2 (16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
41 answers
Evaluate.
260 − (−45) − 45
Responses
A −45−45
B 170170
C 260260
D 305
260 − (−45) − 45
Responses
A −45−45
B 170170
C 260260
D 305
To evaluate the expression 260 − (−45) − 45, we can simplify it step by step.
First, let's tackle the double negative.
260 − (−45) − 45
= 260 + 45 − 45
Next, let's add and subtract.
= (260 + 45) − 45
= 305 − 45
= 260
Therefore, 260 − (−45) − 45 equals 260.
First, let's tackle the double negative.
260 − (−45) − 45
= 260 + 45 − 45
Next, let's add and subtract.
= (260 + 45) − 45
= 305 − 45
= 260
Therefore, 260 − (−45) − 45 equals 260.
Which expression is equivalent to 13
+ (34
+ 23
)?
Responses
A (13
+ 34
) + 23
( 1 3 + 3 4 ) + 2 3
B 13
(34
+ 23
)1 3 ( 3 4 + 2 3 )
C 13
− 23
+ 34
1 3 − 2 3 + 3 4
D 34
− 23
+ 13
+ (34
+ 23
)?
Responses
A (13
+ 34
) + 23
( 1 3 + 3 4 ) + 2 3
B 13
(34
+ 23
)1 3 ( 3 4 + 2 3 )
C 13
− 23
+ 34
1 3 − 2 3 + 3 4
D 34
− 23
+ 13
To determine the equivalent expression to 13 + (34 + 23), we just need to simplify the expression by applying the rule of parentheses.
13 + (34 + 23) = 13 + 57
Now, if we evaluate 13 + 57, we get:
13 + 57 = 70
Therefore, the expression equivalent to 13 + (34 + 23) is D) 34 - 23 + 13.
13 + (34 + 23) = 13 + 57
Now, if we evaluate 13 + 57, we get:
13 + 57 = 70
Therefore, the expression equivalent to 13 + (34 + 23) is D) 34 - 23 + 13.
Evaluate.
186 − (−72)
186 − (−72)
To evaluate 186 − (−72), we can simplify it step by step.
First, let's tackle the double negative.
186 − (−72) = 186 + 72
Next, let's add.
186 + 72 = 258
Therefore, 186 − (−72) equals 258.
First, let's tackle the double negative.
186 − (−72) = 186 + 72
Next, let's add.
186 + 72 = 258
Therefore, 186 − (−72) equals 258.
Evaluate this expression.
10.82 − 9.99
10.82 − 9.99
To evaluate the expression 10.82 − 9.99, simply subtract 9.99 from 10.82.
10.82 − 9.99 = 0.83
Therefore, 10.82 − 9.99 equals 0.83.
10.82 − 9.99 = 0.83
Therefore, 10.82 − 9.99 equals 0.83.
Simplify (10−6)2
+ 8 − 22
.
+ 8 − 22
.
To simplify the expression (10−6)2 + 8 − 22, we follow the order of operations (PEMDAS/BODMAS).
First, we perform the operation within the parentheses:
(10−6)2 + 8 − 22 = 4^2 + 8 − 22
Next, we simplify exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 - 22 = 2
Therefore, (10−6)2 + 8 − 22 simplifies to 2.
First, we perform the operation within the parentheses:
(10−6)2 + 8 − 22 = 4^2 + 8 − 22
Next, we simplify exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 - 22 = 2
Therefore, (10−6)2 + 8 − 22 simplifies to 2.
Simplify (10−6)2 + 8 − 22
.
.
.
.
To simplify the expression (10−6)2 + 8 − 22, we follow the order of operations (PEMDAS/BODMAS).
First, we perform the operation within the parentheses:
(10−6)2 + 8 − 22 = 4^2 + 8 − 22
Next, we simplify exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 - 22 = 2
Therefore, (10−6)2 + 8 − 22 simplifies to 2.
First, we perform the operation within the parentheses:
(10−6)2 + 8 − 22 = 4^2 + 8 − 22
Next, we simplify exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 - 22 = 2
Therefore, (10−6)2 + 8 − 22 simplifies to 2.
(10−6) 2 + 8 − 2 2
But the extra 2's are small
But the extra 2's are small
Apologies for the confusion. Now considering the extra small 2's in the expression, let's simplify:
(10−6)2 + 8 − 22
First, calculate the value within the parentheses:
(10−6)2 = 4^2 = 16
Now substitute the simplified value back into the expression:
16 + 8 − 22
Next, perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)2 + 8 − 22 simplifies to 2.
(10−6)2 + 8 − 22
First, calculate the value within the parentheses:
(10−6)2 = 4^2 = 16
Now substitute the simplified value back into the expression:
16 + 8 − 22
Next, perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)2 + 8 − 22 simplifies to 2.
(10−6)2 + 8 − 2 2
.
Responses
A 12
B 20
C 52
D 68
.
Responses
A 12
B 20
C 52
D 68
To simplify the expression (10−6)^2 + 8 − 22, we follow the order of operations (PEMDAS/BODMAS).
First, we perform the calculation within the parentheses:
(10−6)^2 + 8 − 22 = 4^2 + 8 − 22
Next, we calculate the exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2. The correct answer is A) 2.
First, we perform the calculation within the parentheses:
(10−6)^2 + 8 − 22 = 4^2 + 8 − 22
Next, we calculate the exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2. The correct answer is A) 2.
so it's 12?
Apologies for the mistake in the previous response. Let's re-evaluate the expression:
(10−6)^2 + 8 − 22
First, we perform the calculation within the parentheses:
(10−6)^2 + 8 − 22 = 4^2 + 8 − 22
Next, we calculate the exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2, not 12. The correct answer is 2. Apologies for the confusion caused by the wrong answer choices listed.
(10−6)^2 + 8 − 22
First, we perform the calculation within the parentheses:
(10−6)^2 + 8 − 22 = 4^2 + 8 − 22
Next, we calculate the exponentiation:
4^2 + 8 − 22 = 16 + 8 − 22
Then, we perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2, not 12. The correct answer is 2. Apologies for the confusion caused by the wrong answer choices listed.
there is no 2 .
Apologies for the confusion caused by the previous responses. Let's re-evaluate the expression:
(10−6)^2 + 8 − 22
First, we calculate the value within the parentheses:
(10−6)^2 = 4^2 = 16
Now we substitute the simplified value back into the expression:
16 + 8 − 22
Next, perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2. The correct answer is indeed 2 (not 12, as previously stated).
(10−6)^2 + 8 − 22
First, we calculate the value within the parentheses:
(10−6)^2 = 4^2 = 16
Now we substitute the simplified value back into the expression:
16 + 8 − 22
Next, perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2. The correct answer is indeed 2 (not 12, as previously stated).
Bro there is no 2 that's wrong 2 isn't the answer bot come on now
Apologies for the confusion caused by the previous incorrect responses. Let's re-evaluate the expression correctly:
(10−6)^2 + 8 − 22
First, we calculate the value within the parentheses:
(10−6)^2 = 4^2 = 16
Now we substitute the simplified value back into the expression:
16 + 8 − 22
Next, perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2. My apologies for the previous incorrect answers, but 2 is indeed the correct solution.
(10−6)^2 + 8 − 22
First, we calculate the value within the parentheses:
(10−6)^2 = 4^2 = 16
Now we substitute the simplified value back into the expression:
16 + 8 − 22
Next, perform addition and subtraction from left to right:
16 + 8 − 22 = 24 − 22 = 2
Therefore, (10−6)^2 + 8 − 22 simplifies to 2. My apologies for the previous incorrect answers, but 2 is indeed the correct solution.
It was 20 but thank you i guess
Apologies for the confusion. You are correct. The expression (10−6)^2 + 8 − 22 simplifies to 20, not 2. I apologize for the incorrect information given earlier. Thank you for pointing out the mistake, and I apologize for any inconvenience caused.
Consider the steps to simplify the expression. What property of operation is used in Step 2?
Expression: -437
+ 7 - 347
Step 1: = -437
+ 7 + (-347
)
Step 2: = -437
+ (-347
) + 7
Step 3: = -4 + (-37
) + (-3) + (-47
) + 7
Step 4: = -4 + (-37
) + (-47
) + (-3) + 7
Step 5: = -4 + (-1) + (-3) + 7
Step 6: = -8 + 7
Step 7: = -1
Responses
A Apply the associate property of addition.Apply the associate property of addition.
B Apply the commutative property of addition.Apply the commutative property of addition.
C The opposite of a sum is the sum of it's opposites.The opposite of a sum is the sum of it's opposites.
D Subtracting a number is the same as adding the inverse.
Expression: -437
+ 7 - 347
Step 1: = -437
+ 7 + (-347
)
Step 2: = -437
+ (-347
) + 7
Step 3: = -4 + (-37
) + (-3) + (-47
) + 7
Step 4: = -4 + (-37
) + (-47
) + (-3) + 7
Step 5: = -4 + (-1) + (-3) + 7
Step 6: = -8 + 7
Step 7: = -1
Responses
A Apply the associate property of addition.Apply the associate property of addition.
B Apply the commutative property of addition.Apply the commutative property of addition.
C The opposite of a sum is the sum of it's opposites.The opposite of a sum is the sum of it's opposites.
D Subtracting a number is the same as adding the inverse.
The property of operation used in Step 2 is the commutative property of addition.
The commutative property of addition states that the order of the numbers being added does not affect the sum. In Step 2, the numbers -437 and -347 were switched in order, but the sum remains the same.
Therefore, the correct answer is B) Apply the commutative property of addition.
The commutative property of addition states that the order of the numbers being added does not affect the sum. In Step 2, the numbers -437 and -347 were switched in order, but the sum remains the same.
Therefore, the correct answer is B) Apply the commutative property of addition.
Consider the steps to simplify the expression. What property of operation is used in Step 1?
Expression: -437
+ 7 - 347
Step 1: = -437
+ 7 + (-347
)
Step 2: = -437
+ (-347
) + 7
Step 3: = -4 + (-37
) + (-3) + (-47
) + 7
Step 4: = -4 + (-37
) + (-47
) + (-3) + 7
Step 5: = -4 + (-1) + (-3) + 7
Step 6: = -8 + 7
Step 7: = -1
Responses
A Apply the associate property of addition.Apply the associate property of addition.
B Apply the commutative property of addition.Apply the commutative property of addition.
C The opposite of a sum is the sum of it's opposites.The opposite of a sum is the sum of it's opposites.
D Subtracting a number is the same as adding the inverse.
Expression: -437
+ 7 - 347
Step 1: = -437
+ 7 + (-347
)
Step 2: = -437
+ (-347
) + 7
Step 3: = -4 + (-37
) + (-3) + (-47
) + 7
Step 4: = -4 + (-37
) + (-47
) + (-3) + 7
Step 5: = -4 + (-1) + (-3) + 7
Step 6: = -8 + 7
Step 7: = -1
Responses
A Apply the associate property of addition.Apply the associate property of addition.
B Apply the commutative property of addition.Apply the commutative property of addition.
C The opposite of a sum is the sum of it's opposites.The opposite of a sum is the sum of it's opposites.
D Subtracting a number is the same as adding the inverse.
The property of operation used in Step 1 is the associative property of addition.
The associative property of addition states that the grouping of numbers being added does not affect the sum. In Step 1, the expression is regrouped by adding -347 and 7 first, and then adding -437. The sum remains the same.
Therefore, the correct answer is A) Apply the associative property of addition.
The associative property of addition states that the grouping of numbers being added does not affect the sum. In Step 1, the expression is regrouped by adding -347 and 7 first, and then adding -437. The sum remains the same.
Therefore, the correct answer is A) Apply the associative property of addition.
Evaluate the numerical expression.
14
− (−58
)
Responses
A −12
− 1 2
B −38
− 3 8
C 54
5 4
D 78
14
− (−58
)
Responses
A −12
− 1 2
B −38
− 3 8
C 54
5 4
D 78
To evaluate the expression 14 - (−58), we can simplify it by considering the subtraction of a negative as equivalent to addition:
14 - (−58) = 14 + 58
Performing the addition:
14 + 58 = 72
Therefore, 14 - (−58) equals 72. The correct answer is D) 78. However, please note that D) 78 seems to be an incorrect option, as the correct answer should be 72.
14 - (−58) = 14 + 58
Performing the addition:
14 + 58 = 72
Therefore, 14 - (−58) equals 72. The correct answer is D) 78. However, please note that D) 78 seems to be an incorrect option, as the correct answer should be 72.
Evaluate the numerical expression.
14
− (−58
)
Responses
A −1/2
B −3/8
C 5/4
D 7/8
14
− (−58
)
Responses
A −1/2
B −3/8
C 5/4
D 7/8
To evaluate the expression 14 - (−58), we can simplify it by considering the subtraction of a negative as equivalent to addition:
14 - (−58) = 14 + 58
Performing the addition:
14 + 58 = 72
Therefore, 14 - (−58) equals 72. None of the given answer choices (A, B, C, D) match the correct answer. The correct answer is not listed among the choices provided.
14 - (−58) = 14 + 58
Performing the addition:
14 + 58 = 72
Therefore, 14 - (−58) equals 72. None of the given answer choices (A, B, C, D) match the correct answer. The correct answer is not listed among the choices provided.
Simplify this expression.
421
− (−37
) − 59
Responses
A −1321
− 13 21
B −1936
− 19 36
C 1112
11 12
D 463
421
− (−37
) − 59
Responses
A −1321
− 13 21
B −1936
− 19 36
C 1112
11 12
D 463
To simplify the expression 421 - (−37) - 59, follow the rule that subtracting a negative is equivalent to adding:
421 - (−37) - 59 = 421 + 37 - 59
Perform the addition:
421 + 37 - 59 = 458 - 59 = 399
Therefore, 421 - (−37) - 59 simplifies to 399. The correct answer is not among the given answer choices (A, B, C, D).
421 - (−37) - 59 = 421 + 37 - 59
Perform the addition:
421 + 37 - 59 = 458 - 59 = 399
Therefore, 421 - (−37) - 59 simplifies to 399. The correct answer is not among the given answer choices (A, B, C, D).
Rebecca has 0.76 miles left to go in her cross country race.
Which fraction is equivalent to the distance, in miles, left in her race?
Responses
A 9/20
9 over 20
B 6/7
6 sevenths
C 11/15
11 over 15
D 19/25
Which fraction is equivalent to the distance, in miles, left in her race?
Responses
A 9/20
9 over 20
B 6/7
6 sevenths
C 11/15
11 over 15
D 19/25
To find the equivalent fraction of the distance left in Rebecca's race, we need to convert the decimal 0.76 to a fraction.
0.76 can be written as 76/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
76/100 = (76 ÷ 4) / (100 ÷ 4) = 19/25
Therefore, the fraction equivalent to the distance left in Rebecca's race is D) 19/25.
0.76 can be written as 76/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
76/100 = (76 ÷ 4) / (100 ÷ 4) = 19/25
Therefore, the fraction equivalent to the distance left in Rebecca's race is D) 19/25.
2 of 82 of 8 Items
00:45
Question
23
of the students at Lamar High School are girls. Of those girls, 23
sing in the school choir. What fraction of students at Lamar High School are girls in choir?
Responses
A 1/3
B 2/3
2 3
C 2/6
2 6
D 4/3
4 3
E 4/9
00:45
Question
23
of the students at Lamar High School are girls. Of those girls, 23
sing in the school choir. What fraction of students at Lamar High School are girls in choir?
Responses
A 1/3
B 2/3
2 3
C 2/6
2 6
D 4/3
4 3
E 4/9
To find the fraction of students at Lamar High School who are girls in the choir, we can use the information provided.
Let's assume there are a total of 100 students at Lamar High School, for simplicity.
Given that 23 of the students are girls, and of those girls, 23 sing in the school choir, we can determine the fraction as follows:
Fraction of girls in choir = (girls in choir) / (total students)
Fraction of girls in choir = 23 / 100
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 1:
23 / 100 = 23/100
Therefore, the fraction of students at Lamar High School who are girls in the choir is equivalent to 23/100. However, none of the given answer choices (A, B, C, D, E) match this fraction.
Let's assume there are a total of 100 students at Lamar High School, for simplicity.
Given that 23 of the students are girls, and of those girls, 23 sing in the school choir, we can determine the fraction as follows:
Fraction of girls in choir = (girls in choir) / (total students)
Fraction of girls in choir = 23 / 100
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 1:
23 / 100 = 23/100
Therefore, the fraction of students at Lamar High School who are girls in the choir is equivalent to 23/100. However, none of the given answer choices (A, B, C, D, E) match this fraction.
Twenty-four pencils are in a package. The students use 3/8
of the pencils. How many did they use?
Responses
A 8 pencils
B 9 pencils
C 12 pencils
D 18 pencils
of the pencils. How many did they use?
Responses
A 8 pencils
B 9 pencils
C 12 pencils
D 18 pencils
To find out how many pencils the students used out of the package containing 24 pencils, we need to multiply the total number of pencils by the fraction used, which is 3/8.
(3/8) * 24 = (3 * 24) / 8 = 72 / 8 = 9
Therefore, the students used 9 pencils. The correct answer is B) 9 pencils.
(3/8) * 24 = (3 * 24) / 8 = 72 / 8 = 9
Therefore, the students used 9 pencils. The correct answer is B) 9 pencils.
7 answers