Answer:
a = 3 7/18 or 3.388889
Step-by-step explanation:
First, you want to get the a by itself, so you would subtract 4 from the left side of the equals sign.
6a + 4 = 61 / 3 + 4
-4 -4
6a = 61 / 3
By doing that, they cancel each other out, so you are left with
6a = 61 / 3
Then you want to get a by itself, so you divide 6 from both sides.
6a / 6 = 61 / 3 / 6
Remember that 6 can also be written as 6/1
Remember that dividing a fraction is multiplying the reciprocal.
6a / 6 = 61 / 3 / 6 / 1
When dividing fractions remember to Skip the first fraction, Flip the second fraction, and Multiply the two fractions together.
61 / 3 x 1 / 6
skip multiply flip
Multiply across the top, and across the bottom.
61(1) and 3(6)
Then you get
61 / 18
So a = 61 / 18
If you want to convert that to a mixed number, it would be 3 7 / 18
If you want that in a decimal, it would be 3.388889
<h3>
3 Answers: Choice A, Choice B, Choice E</h3>
============================================================
Explanation:
Let's go through each answer choice one by one to see if it's true or false.
- A) This is true. Parallel lines have equal slopes, but different y intercepts.
- B) This is true because of the corresponding angles theorem.
- C) This is false. The statement applies to perpendicular lines, rather than parallel ones.
- D) This is false in general. The only time it's true is when the consecutive interior angles are 90 degrees each. Otherwise, the statement is false.
- E) This is true. Let's say we drew any diagonal line we wanted. Now imagine picking a point on that line and shifting it up 5 units. Do this for another point and draw a line through the two separated points. This forms a parallel line. The upper line has been shifted up 5 units compared to the lower line.
- F) This is false in general. It's only true when both alternate interior angles are 90 degrees each; otherwise, it is false.
Answer: T = 120 + .15*x
Let T be the total price
Let 'I' be the initial price
Let 'x' be the total number of vertical meters
So, T = I + .15*x
Putting T = 645 and x = 3500 in above equation
we get, I = 120
So, the required equation is
T = 120 + .15*x
Answer:
$7.58 discount, price after discount: $9.27
Step-by-step explanation:
