Simplifying the expression gives 36x^2 - 82x - 10 = 0
<h3>How to simplify the expression</h3>
Given the expression;
4x-5/3+2x=7+2/9x+2

Cross multiply

Expand the bracket

Collect like terms
36x^2 + 8x - 45x - 27x - 18x = 0
Add the like terms
36x^2- 82x - 10 = 0
Thus, simplifying the expression gives 36x^2- 82x - 10 = 0
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Answer:
$40
Step-by-step explanation:
Let the amount of money she has at first be $x.
She put 1/4 for savings, this means she decides to spend 3/4. The 3/4 is equivalent to (3/4)x
Now, she puts half of the money not saved to pay back her sister and has $15 left.
This means the (3/4)x is equivalent to $30. This is because she used half which is $15 to pay back her sister.
Now, since (3/4)x equals 30, we calculate x
(0.75)x = 30
x = 30/0.75 = $40
She originally had $40
Answer:
D.) (14, 0); the time it takes for the bird to reach the ground
Step-by-step explanation:
The attached graph shows a plot of the table values and the two offered solution options.
The dependent variable in this scenario is the bird's height above the ground. When that is zero, the bird is on the ground. This fact makes choices B and C seem ridiculous.
We note from the table and graph that the bird is on a path that decreases in height by 3 feet every 2 seconds. If the bird continues that rate of descent, it will reach the ground after 14 seconds.
That is, its (time, height) pair will be (14, 0), matching choice D.
_____
Choosing any answer to this question requires making assumptions that are inconsistent with real-world bird behavior. At least, the problem statement should say what assumptions are applicable.
Answer:
$2.16
Step-by-step explanation:
Amount of change received
= $[5.00-0.25(6)-0.40(2)-0.18(3)]
= $(5.00-1.50-0.80-0.54)
= $2.16