Answer:
D
Step-by-step explanation:
You are starting at 4 and going back 6 to -2.
The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have equation:
4(x + 5) = 9x + 4x − 34 (Given)
4x +20 = 9x + 4x − 34 (Distributive Property)
4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)
54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)
54 = 9x (Combine Like Terms)
x = 54/9 (Division Property of Equality)
x = 6
Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
Learn more about the linear equation here:
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Answer:
Mass of A = 5760 grams
Step-by-step explanation:
Surface area is given, so we can set-up a similarity equation to solve for k, proportionality constant. Here, we will relate both of them through k^2, because they are 2 dimensional (area). Thus
Surface Area of A = k^2 * Surface Area of B
28 = k^2 * 40.32
k^2 = 28/40.32
k^2 = 25/36
k = Sqrt (25/36)
k = 5/6
Now, we want to find mass (1 dimensional quantity), thus we can say:
Mass of A = k * Mass of B
Mass of A = (5/6) * (6912)
Mass of A = 5760 grams
First, 10 to the second power equals to 100. 100 divided by 3 equals to 33.33. 33.33 x 7 equals to 233.33. So the answer is 233.33.
<span>A mountain climber ascended 3/4 of a kilometer in 1/12 of an hour. What was the mountain climber’s ascent rate in kilometers per hour?
Correct Answer: C. 9 Kilometers per hour </span>
