Camille spent 22 minutes and 30 seconds opening presents.
Since Camille had a very fun birthday party with lots of friends and family attending, and the party lasted for 3 hours, and she and her friends played games for 3/8 of the time, ate pizza and cake for 50% of the time , and spent the remainder of the time opening presents, to determine the amount of time spent opening presents the following calculation must be performed, posing the following linear equation:
Total time - time spent on other activities = time spent opening presents
- 3 - (3 x 3/8) - (3 x 0.5) = X
- 3 - 1.125 - 1.5 = X
- 3 - 2.625 = X
- 0.375 = X
- 1 = 60
- 0.375 = X
- 0.375 x 60 = X
- 22.5 = X
Therefore, Camille spent 22 minutes and 30 seconds opening presents.
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Answer:
whats the question?
Step-by-step explanation:
Answer:
Direct or inverse relation between two variables
Step-by-step explanation:
Now, we first have to understand that what is correlation study. In a correlational study, we try to find the relation between two variables. For example, mass and weight of a substance. If mass increases the weight will increase as well. it represent that both have strong positive correlation. Now the positive sign indicates that the correlation is directly proportional. Means if one variable increases, other will follow. Whereas, negative sign shows that two variables are inversely proportional, means, if one increases, other will decrease. For example any demand and supply system in economics. When supply is short, demand will rise, but if there is enough supply, demand will fall down accordingly.
Also notify that the coefficient is actually indicates the strength of relation between two variables. For example, if you pour water in container it will increase the weight of container, so it is directly proportional, now if you start to add honey, it will increase the weight of container more rapidly because honey has more density. So, coefficient of correlation for quantity of honey and weight of container is stronger than for quantity of water and weight of container.
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The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.
<h3>How to solve inequality?</h3>
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:
3r ≤ 4r - 6
subtract 4r from both sides of the inequality,
3r ≤ 4r - 6
3r - 4r ≤ 4r - 4r - 6
3r - 4r ≤ - 6
- r ≤ -6
divide both sides of the inequality by -1
Therefore, the solution is r ≥ 6
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