Hello there!
So, let's start off with the first one:
A) 60% of One - half x
I believe a couple of possible equations would be: 0.60*1/2x or 0.60*0.5x. 1/2 and 0.5 both equal half of a number. The 0.60 would equal 60%. I'll plug 10 into x of both equations to see what I come up with:
First Equation:
1/2 * 10/1 = 10/2 or 5.
0.60 * 5 = 3
Second Equation:
0.5 * 10 = 5
0.60 * 5 = 3
So they both come up with the same answer, so that makes them both equal, which makes them both possible equations.
B) 7 times z reduced by a third of the product
7z - 1/3 seems like a good equation. Let me plug in 5 for z to solve:
7 * 5 = 35
Convert 35/1 into 105/3 by multiplying both sides by 3
105/3 - 1/3 = 104/3 (approx. 34.7)
C) Three-fourths of V subtracted from 6 times two-ninths
A good equation for this would probably be (6*2/9)-3/4v. I'll plug 5 into v to show how we would solve the equation:
6/1 * 2/9 = 12/9 or 1 1/3.
3/4 * 5/1 = 15/4 or 3 3/4.
(Use the fractions 16/12 and 45/12 as 16/12 = 12/9 and 15/4 = 45/12)
16/12 - 45/12 = -29/12 or −<span>2 <span>5/12</span></span>
D) Sum of 2x, (2/3 + 5) and 11-x
I think the right equation for this would be 2x + (2/3 + 5) + 11-x. Plug in 3 for x to solve:
(Use 15/3 when adding 2/3 and 5 because 5 = 15/3)
2/3 + 15/3 = 17/3 or 5 2/3
2 * 3 = 6
11 - 3 = 8
(Use 18/3 and 24/3 when adding up 6 + 5 2/3 + 8 as 6 = 18/3 and 8 = 24/3
17/3 + 18/3 + 24/3 = 59/3 or 19 2/3
Sorry if this confused you xD but, basically, the possible equations are as follows:
1 = 0.60*1/2x or 0.60*0.5x
2 = 7z - 1/3
3 = <span>(6*2/9)-3/4v
</span>4 = 2x + (2/3 + 5) + 11-x
I hope this helped! If not, I'm very sorry. Algebra isn't my strong suit ^.^'
The solution can be found where two lines intersect. The lines in the image do not intersect at an exact point, so we will need to estimate.
The x value is either 1 or -1 from your choices. You can see it is closer to -1 on the horizontal (x axis).
The y value is either 0 or -1 from your choices. You can see it is closer to 0 on the vertical (y axis).
The answer to your set of lines is approximately (-1,0).
Answer: $34.50
Step-by-step explanation:
Based on the information given in the question, since the base price of a concert ticket ticket is $30 and the handling the change is 15% is added to the brace, then the total cost of the ticket will be calculated thus:
= $30 + (15% × $30)
= $30 + (0.15 × $30)
= $30 + $4.5
= $34.5
Therefore, the total cost of the ticket is $34.50
Answer:
1. a = 5, b = 8
2. d = 2
Step-by-step explanation:
1. The sum of adjacent angle is 180 degree
115 + 8b +1 = 180
8b = 180 -116
b = 8
Similarly
14a - 5 + 115 = 180
14a = 180 -110
14a = 70
a = 14
2. Intersecting diagonals divide each other into equal halves
3d + 5 = 5d + 1
2d = 4
d = 2
