Translate the English phrase into an algebraic expression: the sum of 8x and 3x.
1 answer:
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Answer:
2 pieces.
Step-by-step explanation:
To identify how many pieces he can split with 8/10 of a candy bar, divide 8/10 by 1/3.
<u>Divide 8/10 by 1/3:</u>
<u>Find the Ricipricol, then flip the sign:</u>
<u>Multiply:</u>
<u />
2.4 represents how many pieces of chocolate he can make with 8/10 of a candy bar.
However, 2.4 pieces can't be made, therefore he can only make 2 <u>full</u> pieces.
Answer:
<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.