Write an inequality for the following situation: No more than 6 books are in your bag.
Let x be the number of books in the bag.
The inequality would be:
x ≤ 6
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Which inequality does the graph represent?
Sorry, there doesn't seem to be any graph attached to this question. Could you please provide more details or attach the graph you're referring to?
y+6 > 9
The inequality represented by the graph is:
y > 3
The graph will show a horizontal line at y = 3 with an open circle at that point (since y is greater than, not greater than or equal to), and all the points above this line will satisfy the inequality.
Write an inequality for the sentence. Then solve the inequality.
Fifteen less than a number is at most 6.
The inequality for the given sentence is:
x - 15 ≤ 6
where x represents the number.
To solve the inequality, we need to isolate x on one side of the inequality sign:
x - 15 + 15 ≤ 6 + 15
x ≤ 21
Therefore, the solution to the given inequality is:
x ≤ 21, which means that any number that is less than or equal to 21 satisfies the condition "fifteen less than a number is at most 6".
The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weigh 86 pounds. To be able to ride in a car together, how much can you weigh? Write and solve the inequality.
(1 point)
Let w be the weight you can have to ride in a car with your friend.
The inequality for this situation is:
w + 86 ≤ 263
To solve for w, we can isolate it on one side of the inequality:
w ≤ 263 - 86
w ≤ 177
Therefore, you can weigh up to 177 pounds to ride with your 86-pound friend without exceeding the maximum weight limit of 263 pounds on the Twister carnival ride.
Complete the function table. Then write a rule for the function.
Input Output
-3 ___
-2 -4
-1 ___
0 ___
1 -1
Input Output
-3 1
-2 -4
-1 -1
0 2
1 -1
Rule for the function:
The function takes an input value and squares it, then subtracts 1 from the result.
Therefore, the function rule is:
f(x) = x^2 - 1
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Solve the inequality and describe the solution set.
y
–
6
≥
12
The given inequality is:
y/6 ≥ 12
Multiplying both sides of the inequality by 6 (since 6 is a positive number and we don't have to change the direction of the inequality), we get:
y ≥ 72
Therefore, the solution set is all values of y that are greater than or equal to 72. We can represent this solution set using interval notation as:
[y ≥ 72] = [72, ∞)
In each number sentence, w
stands for a number.
Select the three number sentences that mean the same thing as 92−w=5
.
The three number sentences that mean the same thing as 92−w=5 are:
1. w + 5 = 92
2. 92 - 5 = w
3. w = 92 - 5
n represents a missing number.
Select the three equations that represent the model.
Answer choices:
92-7=n
92-n=7
92+7=n
92=7+n
The three equations that represent the model are:
1. 92 - 7 = n
2. 92 - n = 7
3. 92 = 7 + n
Equations 1 and 2 both solve for the missing number n by subtracting a known quantity from 92, while equation 3 solves for n by adding 7 to 92. All three equations are equivalent and represent the same mathematical model.
In each number sentence, a and b
stand for numbers.
Select the three number sentences that mean the same thing as a+b=2.
Answer choices:
a=21-b
21+a=b
21+b=a
21=a+b
b=21-a
The three number sentences that mean the same thing as a+b=2 are:
1. a = 2 - b
2. b = 2 - a
3. 21 = a + b - These sentences don't represent the same thing as a+b=2, so this option is incorrect.
Equations 1 and 2 both rewrite the original equation in terms of one of the variables in terms of the other. They are equivalent because we can substitute one into the other and vice versa. Equation 3 is incorrect because it replaces the value of 2 in the original equation with the unrelated value of 21. Therefore, the correct answers are 1 and 2.
Hana adds: 46+5
. She rewrites the problem. Which is a correct next step?
After Hana adds 46 and 5, she gets:
46 + 5 = 51
A correct next step could be to evaluate the answer, or to use it in another calculation. For example, if Hana wants to subtract 10 from this sum, a correct next step could be:
51 - 10
= 41
Alternatively, if Hana needs to find the total of three numbers, such as 51, 7, and 15, a correct next step could be:
51 + 7 + 15
= 73
Both of these are valid next steps, depending on what Hana needs to do with the sum of 46 and 5.
In each number sentence, n represents a number.
Select the three number sentences that mean the same thing as 37 = n + 6.
The three number sentences that mean the same thing as 37 = n + 6 are:
1. n = 31
2. n + 6 = 37
3. 6 + n = 37
Equations 1, 2, and 3 all represent the same thing as 37 = n + 6. Equation 1 solves for the missing number by subtracting 6 from both sides of the equation. Equations 2 and 3 both rewrite the original equation with the variable on one side and the constant on the other side.
Can you give me all the answers to the test unit 5 lesson 11.
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it a practice
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I'm sorry, but as an AI language model, it's not ethical nor appropriate for me to provide you with answers to a test, even if it's a practice one. Attempting to cheat goes against the principles of learning and can ultimately harm your education. The best course of action is to study the materials, review your notes, and practice similar questions to better prepare yourself for the assessment. If you have specific questions or need help understanding certain concepts, I would be happy to assist you and provide guidance to improve your understanding.
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As part of their job, meteorologists make weather predictions from data. How accurate are their predictions? What are other scenarios in which you would use data to make a prediction? How would you defend your prediction using data?
Meteorologists use a variety of tools and data sources to make weather predictions, such as temperature readings, cloud patterns, wind speed and direction, air pressure changes, and historical trends and models. While their predictions are not always 100% accurate due to the complex and ever-changing nature of weather patterns, they strive to make their forecasts as precise and timely as possible to help people prepare for and respond to potential weather hazards.
Other examples of scenarios where you might use data to make predictions include:
1. Sports: Coaches and analysts may analyze data on player performance, team stats, and historical trends to predict game outcomes, make strategy decisions, and improve training programs.
2. Finance: Investors may use historical market data and financial indicators to predict stock prices, evaluate risk, and develop investment strategies.
3. Healthcare: Medical researchers and providers may analyze patient data, disease trends, and clinical trial results to predict disease outcomes, treatment effectiveness, and public health risks.
4. Marketing: Advertisers and sales professionals may analyze customer data, market trends, and demographic patterns to predict consumer behavior and target advertising strategies.
To defend your prediction using data, it's important to use reliable and valid data sources, appropriate modeling techniques, and clear and transparent communication. You should be prepared to explain your methodology, assumptions, and limitations, and to provide evidence and examples to support your predictions. You should also address any potential biases or conflicting data points, and consider the impact of alternative scenarios and outcomes. By doing so, you can increase the credibility and usefulness of your predictions.