What is the value of the expression below?
― 4 + ( ― 3)
(1 point)
Responses
-7
-1
7
12
19 answers
The value of the expression -4 + (-3) is -7.
What is the value of the expression below?
2/5 + (− 1/3)
(1 point)
Responses
−11/15
−1/15
1/15
11/15
2/5 + (− 1/3)
(1 point)
Responses
−11/15
−1/15
1/15
11/15
To find the value of the expression 2/5 + (-1/3), we need to find a common denominator. The common denominator of 5 and 3 is 15.
Converting the fractions to have a denominator of 15:
2/5 = 6/15
(-1/3) = (-5/15)
Now we can add the fractions:
(6/15) + (-5/15) = 1/15
Therefore, the value of the expression is 1/15.
Converting the fractions to have a denominator of 15:
2/5 = 6/15
(-1/3) = (-5/15)
Now we can add the fractions:
(6/15) + (-5/15) = 1/15
Therefore, the value of the expression is 1/15.
What is the value of the expression below?
10 + 3|1 ― 7|
(2 points)
Responses
- 78
- 8
28
78
10 + 3|1 ― 7|
(2 points)
Responses
- 78
- 8
28
78
First, let's simplify the absolute value expressions.
|1 - 7| = |-6| = 6
Now we can substitute the simplified absolute value expressions into the original expression:
10 + 3 * 6 = 10 + 18 = 28
Therefore, the value of the expression is 28.
|1 - 7| = |-6| = 6
Now we can substitute the simplified absolute value expressions into the original expression:
10 + 3 * 6 = 10 + 18 = 28
Therefore, the value of the expression is 28.
Determine the product of: 21/14
and -1.5(1 point)
Responses
-2.25
-1
0
2.26
and -1.5(1 point)
Responses
-2.25
-1
0
2.26
To find the product of 21/14 and -1.5, we multiply the numerator of the fraction by the decimal and divide by the denominator:
(21/14) * -1.5 = (21 * -1.5) / 14 = -31.5 / 14 ≈ -2.25
Therefore, the product of 21/14 and -1.5 is approximately -2.25.
(21/14) * -1.5 = (21 * -1.5) / 14 = -31.5 / 14 ≈ -2.25
Therefore, the product of 21/14 and -1.5 is approximately -2.25.
Five friends order food and want to split the bill. They order two large cheese pizzas for $10 each, wings for $18.99, and breadsticks for $5.59.
Determine how much each person owes. (Round to the nearest hundredth)
(1 point)
Responses
$6.92
$8.92
$34.58
$44.58
Determine how much each person owes. (Round to the nearest hundredth)
(1 point)
Responses
$6.92
$8.92
$34.58
$44.58
To determine how much each person owes, we need to calculate the total cost of the bill and divide it by the number of friends (5).
The total cost of the two large cheese pizzas is 2 * $10 = $20.
Adding the cost of the wings and breadsticks, the total bill is $20 + $18.99 + $5.59 = $44.58.
Dividing the total bill by the number of friends:
$44.58 / 5 = $8.92
Therefore, each person owes approximately $8.92.
The total cost of the two large cheese pizzas is 2 * $10 = $20.
Adding the cost of the wings and breadsticks, the total bill is $20 + $18.99 + $5.59 = $44.58.
Dividing the total bill by the number of friends:
$44.58 / 5 = $8.92
Therefore, each person owes approximately $8.92.
Five people ate pretzels. A serving of pretzels weighs 0.9 ounces. Which of the following people ate more than 1.2 ounces of pretzels? Select all that apply.(2 points)
Responses
Kate ate 1.9 servings of pretzels.
Paul ate 1.3 servings of pretzels.
Ian ate 1 serving of pretzels.
Aidan are 0.7 servings of pretzel.
Ava ate 1.4 servings of pretzels.
Responses
Kate ate 1.9 servings of pretzels.
Paul ate 1.3 servings of pretzels.
Ian ate 1 serving of pretzels.
Aidan are 0.7 servings of pretzel.
Ava ate 1.4 servings of pretzels.
To determine which people ate more than 1.2 ounces of pretzels, we need to calculate the weight of their servings.
Kate ate 1.9 servings of pretzels: 1.9 * 0.9 = 1.71 ounces (less than 1.2 ounces)
Paul ate 1.3 servings of pretzels: 1.3 * 0.9 = 1.17 ounces (less than 1.2 ounces)
Ian ate 1 serving of pretzels: 1 * 0.9 = 0.9 ounces (less than 1.2 ounces)
Aidan ate 0.7 servings of pretzels: 0.7 * 0.9 = 0.63 ounces (less than 1.2 ounces)
Ava ate 1.4 servings of pretzels: 1.4 * 0.9 = 1.26 ounces (less than 1.2 ounces)
None of the people ate more than 1.2 ounces of pretzels.
Kate ate 1.9 servings of pretzels: 1.9 * 0.9 = 1.71 ounces (less than 1.2 ounces)
Paul ate 1.3 servings of pretzels: 1.3 * 0.9 = 1.17 ounces (less than 1.2 ounces)
Ian ate 1 serving of pretzels: 1 * 0.9 = 0.9 ounces (less than 1.2 ounces)
Aidan ate 0.7 servings of pretzels: 0.7 * 0.9 = 0.63 ounces (less than 1.2 ounces)
Ava ate 1.4 servings of pretzels: 1.4 * 0.9 = 1.26 ounces (less than 1.2 ounces)
None of the people ate more than 1.2 ounces of pretzels.
oops choose all that apply
Apologies for the confusion. Based on the calculations:
Kate ate 1.9 servings of pretzels: 1.9 * 0.9 = 1.71 ounces (more than 1.2 ounces)
Paul ate 1.3 servings of pretzels: 1.3 * 0.9 = 1.17 ounces (less than 1.2 ounces)
Ian ate 1 serving of pretzels: 1 * 0.9 = 0.9 ounces (less than 1.2 ounces)
Aidan ate 0.7 servings of pretzels: 0.7 * 0.9 = 0.63 ounces (less than 1.2 ounces)
Ava ate 1.4 servings of pretzels: 1.4 * 0.9 = 1.26 ounces (less than 1.2 ounces)
The only person who ate more than 1.2 ounces of pretzels is Kate.
Kate ate 1.9 servings of pretzels: 1.9 * 0.9 = 1.71 ounces (more than 1.2 ounces)
Paul ate 1.3 servings of pretzels: 1.3 * 0.9 = 1.17 ounces (less than 1.2 ounces)
Ian ate 1 serving of pretzels: 1 * 0.9 = 0.9 ounces (less than 1.2 ounces)
Aidan ate 0.7 servings of pretzels: 0.7 * 0.9 = 0.63 ounces (less than 1.2 ounces)
Ava ate 1.4 servings of pretzels: 1.4 * 0.9 = 1.26 ounces (less than 1.2 ounces)
The only person who ate more than 1.2 ounces of pretzels is Kate.
dont multiply just choose all of them that are over 1.2 ounces
Apologies for the previous error. Based on the given information:
Kate ate 1.9 servings of pretzels, which is more than 1.2 ounces.
Paul ate 1.3 servings of pretzels, which is more than 1.2 ounces.
Ava ate 1.4 servings of pretzels, which is more than 1.2 ounces.
Therefore, Kate, Paul, and Ava ate more than 1.2 ounces of pretzels.
Kate ate 1.9 servings of pretzels, which is more than 1.2 ounces.
Paul ate 1.3 servings of pretzels, which is more than 1.2 ounces.
Ava ate 1.4 servings of pretzels, which is more than 1.2 ounces.
Therefore, Kate, Paul, and Ava ate more than 1.2 ounces of pretzels.
Simplify the expression using the quotient rule of exponents.
5^6/5^3
(1 point)
Responses
5^1
5^18
5^3
5^9
5^6/5^3
(1 point)
Responses
5^1
5^18
5^3
5^9
Using the quotient rule of exponents, we can simplify 5^6/5^3 by subtracting the exponents:
5^6 / 5^3 = 5^(6-3) = 5^3
Therefore, the simplified expression is 5^3.
5^6 / 5^3 = 5^(6-3) = 5^3
Therefore, the simplified expression is 5^3.
Evaluate the expression:
(10 −1 )^2/27
(1 point)
Responses
2/3
3
9
27
(10 −1 )^2/27
(1 point)
Responses
2/3
3
9
27
To evaluate the expression (10 - 1)^2/27, we first simplify the numerator:
(10 - 1)^2 = 9^2 = 81
Now we can substitute this value into the expression:
81/27 = 3
Therefore, the value of the expression is 3.
(10 - 1)^2 = 9^2 = 81
Now we can substitute this value into the expression:
81/27 = 3
Therefore, the value of the expression is 3.