Jayana is trying to run 30 miles by the end of the months.
30% / 100% = 9 / x
9 * 100 = 900
900 / 30 = 30 miles
Answer:
(1/2)s = 345
s = 690 (Maggie's savings balance)
Step-by-step explanation:
For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for
- what you're being asked to find (what is the question to answer)
- the information you're given that is relevant to the question asked.
Here, you're asked to find a savings account balance. You're told that $345 is half that amount.
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After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.
A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)
The problem statement tells us that half the savings account amount is $345, so our equation is ...
(1/2)s = 345
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The "one step" required to solve this so to multiply both sides of the equation by 2.
s = 690
Maggie had $690 in her savings account before she bought the computer.
<em> Given that:</em> 100 copies = $3.10
<em>Find cost of 1 copy:</em>
1 copy = $3.10 ÷ 100 = $0.031
<em>Find the cost of 155 copies: </em>
155 copies = $0.031 x 155 = $4.81 (nearest hundredth)
Answer: $4.81
<h2>
<u>QUADRATIC EQUATION</u></h2>
<h2>

</h2>
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<h3>
Step-by-step explanation:</h3>
<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>
Let's solve your equation step-by-step.

First, add 24 to both sides.
Since the coefficient of 5x² is 5, divide both sides by 5.
The coefficient of 26/5x is 26/5. So, let b=26/5.
Then we need to add (b/2)²=169/25 to both sides to complete the square.
Add 169/25 to both sides.
Factor the left side.
Take square root.
Then, add (-13)/5 to both sides.
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