The total cost of the two large cheese pizzas is $10 x 2 = $<<10*2=20>>20.
So, the total cost of the pizzas, wings, and breadsticks is $20 + $18.99 + $5.59 = $<<20+18.99+5.59=44.58>>44.58.
Thus, each person owes $44.58 / 5 = $<<44.58/5=8.92>>8.92. Answer: \boxed{8.92}.
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
11 answers
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.
To determine which people ate more than 1.2 ounces of pretzels, we need to multiply 1.2 by 5 and compare it to the weight each person ate.
1.2 ounces x 5 = 6 ounces
Since a serving of pretzels weighs 0.9 ounces and we want to determine who ate more than 1.2 ounces, we can compare the weight each person ate to 6 ounces.
Let's say person A ate 0.7 ounces, person B ate 1.5 ounces, person C ate 0.9 ounces, person D ate 1.1 ounces, and person E ate 2.0 ounces.
Person A ate less than 1.2 ounces (0.7 ounces)
Person B ate more than 1.2 ounces (1.5 ounces)
Person C ate less than 1.2 ounces (0.9 ounces)
Person D ate less than 1.2 ounces (1.1 ounces)
Person E ate more than 1.2 ounces (2.0 ounces)
Therefore, the people who ate more than 1.2 ounces of pretzels are person B and person E.
1.2 ounces x 5 = 6 ounces
Since a serving of pretzels weighs 0.9 ounces and we want to determine who ate more than 1.2 ounces, we can compare the weight each person ate to 6 ounces.
Let's say person A ate 0.7 ounces, person B ate 1.5 ounces, person C ate 0.9 ounces, person D ate 1.1 ounces, and person E ate 2.0 ounces.
Person A ate less than 1.2 ounces (0.7 ounces)
Person B ate more than 1.2 ounces (1.5 ounces)
Person C ate less than 1.2 ounces (0.9 ounces)
Person D ate less than 1.2 ounces (1.1 ounces)
Person E ate more than 1.2 ounces (2.0 ounces)
Therefore, the people who ate more than 1.2 ounces of pretzels are person B and person E.
the answer choices are
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
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 convert the servings of pretzels into ounces.
Since each serving of pretzels weighs 0.9 ounces, we can multiply the number of servings by 0.9 to find the weight in ounces.
Let's calculate the weight of pretzels for each person:
Kate: 1.9 servings x 0.9 ounces/serving = 1.71 ounces
Paul: 1.3 servings x 0.9 ounces/serving = 1.17 ounces
Ian: 1 serving x 0.9 ounces/serving = 0.9 ounces
Aidan: 0.7 servings x 0.9 ounces/serving = 0.63 ounces
Ava: 1.4 servings x 0.9 ounces/serving = 1.26 ounces
Comparing the weights to 1.2 ounces, we see that only Kate (1.71 ounces) and Ava (1.26 ounces) ate more than 1.2 ounces of pretzels.
Therefore, the people who ate more than 1.2 ounces of pretzels are Kate and Ava.
Since each serving of pretzels weighs 0.9 ounces, we can multiply the number of servings by 0.9 to find the weight in ounces.
Let's calculate the weight of pretzels for each person:
Kate: 1.9 servings x 0.9 ounces/serving = 1.71 ounces
Paul: 1.3 servings x 0.9 ounces/serving = 1.17 ounces
Ian: 1 serving x 0.9 ounces/serving = 0.9 ounces
Aidan: 0.7 servings x 0.9 ounces/serving = 0.63 ounces
Ava: 1.4 servings x 0.9 ounces/serving = 1.26 ounces
Comparing the weights to 1.2 ounces, we see that only Kate (1.71 ounces) and Ava (1.26 ounces) ate more than 1.2 ounces of pretzels.
Therefore, the people who ate more than 1.2 ounces of pretzels are Kate and Ava.
Simplify the expression using the quotient rule of exponents.
5^6/5^3
A. 5^1
B. 5^18
C. 5^3
D. 5^9
5^6/5^3
A. 5^1
B. 5^18
C. 5^3
D. 5^9
The quotient rule of exponents states that when dividing two powers with the same base, subtract the exponents.
In this case, we have 5^6 divided by 5^3. By applying the quotient rule, we subtract the exponents: 6 - 3 = 3.
Therefore, 5^6/5^3 simplifies to 5^3.
The correct answer is C. 5^3.
In this case, we have 5^6 divided by 5^3. By applying the quotient rule, we subtract the exponents: 6 - 3 = 3.
Therefore, 5^6/5^3 simplifies to 5^3.
The correct answer is C. 5^3.
Evaluate the expression:
(10 -1)^2/27
(10 -1)^2/27
To evaluate the expression (10 - 1)^2/27, we first evaluate the numerator and then divide by 27.
The numerator, (10 - 1)^2, simplifies to (9)^2, which equals 81.
So the expression becomes 81/27.
To simplify the division, we can divide both the numerator and the denominator by their greatest common factor, which is 9.
81 ÷ 9 = 9
27 ÷ 9 = 3
So, the simplified expression is 9/3, which equals 3.
Therefore, the value of the expression (10 - 1)^2/27 is 3.
The numerator, (10 - 1)^2, simplifies to (9)^2, which equals 81.
So the expression becomes 81/27.
To simplify the division, we can divide both the numerator and the denominator by their greatest common factor, which is 9.
81 ÷ 9 = 9
27 ÷ 9 = 3
So, the simplified expression is 9/3, which equals 3.
Therefore, the value of the expression (10 - 1)^2/27 is 3.
Evaluate the following to determine the value of 𝑛:
(83)n
(
8
3
)
= 812
8
12
(2 points)
Responses

n = 9
n = 9

n = 4
n = 4

n = 2
n = 2

n = 1
n = 1
(83)n
(
8
3
)
= 812
8
12
(2 points)
Responses

n = 9
n = 9

n = 4
n = 4

n = 2
n = 2

n = 1
n = 1
The expression (83)n can be simplified using the power rule of exponents, which states that (a^m)^n = a^(m*n).
In this case, we have (83)n. Since the base is 8, we know that (83)n is equal to 8^(3*n).
To determine the value of n, we need to simplify this expression and equate it to 812/8/12.
So, we have 8^(3*n) = 812/8/12.
To solve for n, we can rewrite 812/8/12 as (8 * 12 * 812)/8.
Canceling out the 8 on both sides of the equation, we have 8^(3*n) = 12 * 812.
Now, we need to find the value of n that makes 8^(3*n) equal to 12 * 812.
Since 12 * 812 is not a power of 8, there is no integer value of n that would satisfy the equation.
Therefore, there is no solution for n in this case.
In this case, we have (83)n. Since the base is 8, we know that (83)n is equal to 8^(3*n).
To determine the value of n, we need to simplify this expression and equate it to 812/8/12.
So, we have 8^(3*n) = 812/8/12.
To solve for n, we can rewrite 812/8/12 as (8 * 12 * 812)/8.
Canceling out the 8 on both sides of the equation, we have 8^(3*n) = 12 * 812.
Now, we need to find the value of n that makes 8^(3*n) equal to 12 * 812.
Since 12 * 812 is not a power of 8, there is no integer value of n that would satisfy the equation.
Therefore, there is no solution for n in this case.
3 answers