How many solutions for x does the following equation have? 4/5 (20x+5) = 16x-2 A. infinite B. 1 C. -2 D. 0
Answers
Answer :
A. infinite
Step by step4/5 (20x + 5) = 16x - 2
16x + 4 = 16x - 2
16x - 16x = -2 - 4
0x = -6
x = -6/0
x = infinite
The equation has zero solution.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here, the expression as 4/5 (20x+5)=16x-2
80x+20 = 80x-10
20 =- 10 which is not possible
Hence, the equation has no solution and thus D is the correct option.
Learn more about solution of a linear equation here:
https://brainly.com/question/545403
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Jason had $284.31 on his student lunch account at the beginning of the school year. During the year, he mowed lawns for extra money to add to his lunch account. He mowed 13 lawns and earned $30 for each lawn. By the end of the school year, he had spent $782.75 on his lunches. What was the balance in Jason’s account at the end of the school year?
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Step-by-step explanation:
Hey! Let's help you out with this question!
We always want to begin with what we know. We know that Jason has $284.31 on his lunch account and that during the year he mowed 13 lawns and earned $30 for each lawn. By the end, he spent $782.75 and now we need to figure out what his balance was at the end of the year. This can be split into 2 parts:
Part 1:
Let's start by how much money he has in total. We can take the current balance in his account of $284.31 and add the amount of money he made mowing lawns. We know that he mowed 13 lawns and earned $30 for each lawn. So, we can just chalk that total to be:
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Based on our calculation, we know that he has earned $390 in total from mowing 13 lawns for $30 each lawn. Now that we have that, let's add that earning into his current balance and that'll give us:
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Therefore, in total Jason has $674.31. including how much he earned from mowing lawns.
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Now, we need to figure out Jason's account balance at the end of the school year. From here, we take the new total of Jason's account balance and subtract it from how much he spent on lunches throughout the school year. So, it would look like this:
\(674.31-782.75=-108.44\)
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