ANSWER
A.
EXPLANATION
The given inequality is
We add the additive inverse of 18, which is -18 to both sides of the equation to get,
Recall that,
This implies that,
We simplify to get,
We now divide both sides by 10 to obtain,
We cancel out the common factors to get,
The correct answer is A.
Answer:
5= b 6=d
Step-by-step explanation:
For this problem we must set up some fractions in an equality. First, we put number of people in the numerator and number of hours in the denominator. After this we can plug in 24 to the numerator of the first fraction and 4 to the denominator of the first fraction (24/4). We then set the two fractions equal to each other and put 18 in the numerator of the second fraction and the variable X and the denominator of the second fraction (18/x). Lastly we cross multiply and then divide leaving X alone. This will be our answer. Therefore the answer is 3 hours.
Answer:
The book costs $2 and the pencil also costs $2.
Step-by-step explanation:
It is easy to get the value of the book and the pencil if we use<em> algebraic expressions.</em>
Let x be the cost of the book and let y be the cost of the pencil.
The sum of 2 books and a pencil is $6.00
The difference of cost between 3 books and 2 pencils is $2.00.
Step 1: Let's get the value of y first.
2x + y = 6
y = 6 - 2x
Step 2: Let's substitute the value of y and look for the value of x.
3x - 2y = $2.00
3x - 2(6-2x) = 2
3x - 12 + 4x = 2
7x = 12 + 2
7x = 14
x = 
x = $2 (this is the cost of the book)
Step 3: Let's substitute the value of x and look for the value of y.
2x + y = 6
2 (2) + y = 6
4 + y = 6
y = 6 - 4
y = $2 (this is the cost of the pencil)
Let's check:
2x + y = $6
2(2) + 2 = 6
4 + 2 = 6
6 = 6<em> (CORRECT)</em>
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<h3>
Answer: Choice D) Vertical Angles</h3>
Reason:
When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.
They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.
