First, let's ignore the answer choices and solve for a value of x ourselves.
2(8 - x) < 4
Distributive property.
16 - 2x < 4
Subtract 16 from both sides.
-2x < -12
Divide both sides by -2 (and flip the inequality sign)
x > 6
The value of x is going to be greater than 6, and so, we can observe the answer choices, and whichever value is greater than 6, is the correct answer.
<h3>In this case, there is only one answer, and that is D, x = 10.</h3>
The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216
<h3>How to write an expression for this procedure?</h3>
To find a mathematical expression for this procedure we must take into account the values that we know.
For example, we know that it requires 15 pansies for each tree. This can be expressed like this:
On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.
- Cost of trees = 8 * $20.75
- Pansies Cost = 15 * ($5/12)
According to the above, the final expression, in which all the necessary data for Katherine is included, is:
- 8 * ($20.75) + 120 * ($5/12) = $216
Learn more about mathematical expression in: brainly.com/question/1703934
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Answer:
TRUE
Step-by-step explanation:
y-4 = 2(x-1)
here, 4 is representing the y value and 1 is representing the x value.
And the slope is 2.
We know that Angle Bisector Divides an Angle into Two Equal Angles.
As UP is the Angle Bisector of Angle U, It Divides Angle U into two Equal Parts they are Angle(1) and Angle(2)
⇒ Angle(1) = Angle(2)
Given Angle(1) = 5x + 10 and Angle(2) = 3x + 14
⇒ 5x + 10 = 3x + 14
⇒ 2x = 4
⇒ x = 2
⇒ Angle(1) = 5x + 10 = 5(2) + 10 = 10 + 10 = 20
So : Measure of Angle(1) is 20
Answer:
-9
Step-by-step explanation:
You have to plug 8 into the formula for x. f(8) = -2(8)+7 = -16+7 = -9
