Answer:
x=12
Step-by-step explanation:
5x+4+64+52=180
We move all terms to the left:
5x+4+64+52-(180)=0
We add all the numbers together, and all the variables
5x-60=0
We move all terms containing x to the left, all other terms to the right
5x=60
x=60/5
x=12
I'd suggest you sketch this situation. If you did, you'd likely see right away that the shortest distance back to the starting point would be the hypotenuse of the right triangle whose legs are of lengths 5 miles and 12 miles.
Apply the Pythagorean Theorem to solve this.
Answer:
Blair chosen to purchase shirt from company B. Given:
Each shirt costs 3.10$
Shipping cost is 4% (0.04) of total order.
=>Total cost without shipping: 150 x 3.10 = 465$
=> Total cost with 4% of shipping: 465 + 465 x 0.04 = 483.6$
=> Total cost Blair paid for one shirt: C = 483.6/150 = 3.22$
The markup is 75% of original cost:
=> Blair can multiply the total cost for one shirt by 0.75
Blair will sell shirt with price which is equal to the sum of total cost for one shirt and markup:
=> P = 3.22 + 3.22 x 0.75 = 5.64$
Hope this helps!
:)
Answer: (C) shifts 6 units to the LEFT
<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
y = a |x - h| + k where;
- a is the vertical stretch (irrelevant for this problem)
- (h, k) is the vertex
Since h represents the x-coordinate and the x-axis is left to right, then h shifts the graph left or right.
- If h is negative, the graph shifts to the left.
- If h is positive, the graph shifts to the right.
x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.
