You use the quadratic formula:
2x {}^{2} - 3x = 5
2x {}^{2} - 3x - 5 = 0
x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2}
x = \frac{3 + - \sqrt{49} }{4}
x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4}
x = \frac{5}{2} \: and \: x = - 1
Answer:
The % increase is 7.179 but see the remark I made below. What I have given and what it could be is a rounding error. Less than 2 dollars error is not much when you are calculating something for someone just to show them how to do it.
Step-by-step explanation:
242,555 * x/100 = 259,970 Multiply by 100
242,555 * x = 259970 * 100
242,555 * x = 25997000 Divide by 242555
x = 24997000/242444
x = 107.179
That's the total increase.
What you want is 7.179%
If you take 7.179% of 242,555 and add it onto 242555 you should get 259,970
7.1797/100 * 242555 = 17413.02
17413.02 + 242555 = 259968.02
Why isn't it exact. I'm out just about 2 whole dollars. The reason is that the % isn't exact. It's only out to 3 decimal places which apparently is not enough. You can go over my numbers if you want more exactness us use something that is rounded to 7.180 if you like.
6% tax means 6% of $3.50
Convert 6% to decimal (move decimal 2 spots to the left): 6% ⇒ .06
Multiply 3.50 with .06 = .21 <-- That's .21 cents of 3.50
That means you have to pay an extra 21 cents. Add that to the $3.50 you had to pay.
$3.50 + $0.21 = $3.71 <-- Price after tax
Answer:
Step-by-step explanation:
Estimating a sum by rounding to get the best estimate is the goal of this lesson. Notice that we try to estimate. We don't need to have an exact answer!
Notice that for numbers with two digits, there can only be one estimate because you can only round to the tens place.
Estimate the following sums: 36 + 21, 74 + 15, and 85 + 24
36 + 21 = 40 + 20 = 60
74 + 15 = 70 + 20 = 90
The system of inequalities can model Gabrielle’s situation is;
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
<h3>Inequality</h3>
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows;
- batches of brownies = x
- batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
Cookie:
Sugar = 3 cups
Eggs = 2
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
Learn more about inequality:
brainly.com/question/25275758
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