3.4 - 2/3 > x
2) simplify 3.4 - 2/3 to 8.2/3
8.2/3 > x
3) Simplify 8.2/3 to 2.733333.
2.733333 > x
switch sides
Answer:
z = 15/30 = 3/6
Step-by-step explanation:
1/5z - 5/6 = - 4/5z - 1/3
1/5z + 4/5z = - 1/3 + 5/6
5/5z = - 2/6 + 5/6
5/5z = 3/6
z = 3/6 / 5/5
z = 3/6 * 5/5
z = 15/30
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:

second equation:

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
Answer:
99
Step-by-step explanation:
12x4=48
12x3=36
12-4-5=3
3x5=15
48+36+15=99
Answer:
<h3>Princeton Florist</h3>
Let the total charge is y, the number of small arrangements is x.
<u>Total charge will be:</u>
<h3>Chad's Flowers</h3>
<u>Total charge will be:</u>
<u>Since the total charge is same in both shops, we have:</u>
<u>Solve for x:</u>
- 17x - 13x = 47 - 35
- 4x = 12
- x = 3
<u>Total cost is:</u>
<u>Small arrangements</u> = 3, <u>cost </u>= $86