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
which
Kate ate 1.9 servings of pretzels.
Kate ate 1.9 servings of pretzels.
Paul ate 1.3 servings of pretzels.
Paul ate 1.3 servings of pretzels.
Ian ate 1 serving of pretzels.
Ian ate 1 serving of pretzels.
Aidan are 0.7 servings of pretzel.
Aidan are 0.7 servings of pretzel.
Ava ate 1.4 servings of pretzels.
Ava ate 1.4 servings of pretzels.
Based on the information given, the people who ate more than 1.2 ounces of pretzels are:
1) Kate - she ate 1.9 servings of pretzels, which is more than 1.2 ounces.
2) Paul - he ate 1.3 servings of pretzels, which is also more than 1.2 ounces.
3) Ava - she ate 1.4 servings of pretzels, which is more than 1.2 ounces.
Simplify the expression using the quotient rule of exponents.
5653
(1 point)
Responses
51
5 to the 1th power
518
5 to the 18th power
53
5 cubed
59
To simplify the expression using the quotient rule of exponents, we need to write the numerator and denominator with the same base. Since the base is 5, we can simplify the expression as follows:
5653 = 5^(6-3) = 5^3
So, the simplified expression is 5 cubed (5^3).
Evaluate the expression:
(10 −1 )227
(1 point)
Responses
23
2 thirds
3
3
9
9
27
To evaluate the expression, we can first simplify the exponent, and then proceed with the rest of the calculation. We have:
(10^(-1))^27
Using the exponent rule that states (a^m)^n = a^(m × n), we can rewrite this as:
10^(-1 × 27)
Multiplying -1 and 27, we get:
10^(-27)
Therefore, the evaluated expression is equal to 10^(-27).
Evaluate the following to determine the value of 𝑛:
(83)n
= 812
(2 points)
Responses
n = 9
n = 9
n = 4
n = 4
n = 2
n = 2
n = 1
To evaluate (83)n = 812 and determine the value of n, we need to identify the exponent that gives us the result of 812 when applied to 83.
Since 83 = 512, we can see that the exponent that results in 812 is 4. Therefore, n = 4.
Inessa ran 3 laps in 10 minutes. How long would it take her to run 5 laps at this pace?(1 point)
Responses
1 12 minutes
1 12 minutes
15 minutes
15 minutes
16 23 minutes
16 23 minutes
20 minutes
To find out how long it would take Inessa to run 5 laps at the same pace, we can set up a proportion:
3 laps / 10 minutes = 5 laps / x minutes
Cross multiplying, we get:
3x = 50
Dividing both sides by 3, we find:
x = 16.67 minutes
Rounding to the nearest minute, it would take Inessa approximately 17 minutes to run 5 laps at the same pace.
Inessa ran 3 laps in 10 minutes. How long would it take her to run 5 laps at this pace?(1 point)
Responses
1 12 minutes choose which
1 12 minutes
15 minutes
15 minutes
16 23 minutes
16 23 minutes
20 minutes
To find out how long it would take Inessa to run 5 laps at the same pace, we can set up a proportion:
3 laps / 10 minutes = 5 laps / x minutes
Cross multiplying, we get:
3x = 50
Dividing both sides by 3, we find:
x = 16.67 minutes
Rounding to the nearest minute, it would take Inessa approximately 17 minutes to run 5 laps at the same pace.