Answer:
57 percent
Step-by-step explanation:
4 divided by 7= .57
- 57 reminder 1
- ________
- 7l 40
- 35
- 50
- so the total is 57
Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50
short-sleeve shirts for $23
long-sleeve shirts for $28.50
Total cost = $9,862.50
Let x be the number of short - sleeve
and y be the number of long - sleeve
Total shirts = 375
x + y = 375
23x + 28.50y = 9862.50
Now we solve for x
x + y = 375 ( subtract x on both sides)
So y = 375 - x
Now plug in 375 -x for y in second equation
23x + 28.50y = 9862.50
23x + 28.50(375 - x ) = 9862.50
23x + 10687.5 - 28.50x = 9862.50
subtract 10687.5 from both sides
23x - 28.50x = -825
-5.5x = -825 (divide -5.5 on both sides)
x = 150
So number of short-sleeve = 150
Answer:
x = 3
y = 1
Step-by-step explanation:
9x - y = 26 ---------------(I)
9x + y = 28 ---------------(II)
9x - y = 26
9x = 26 + y
Substitute 9x = 26 + y in equation (II)
26 + y + y = 28 {add like terms}
26 + 2y = 28 {subtract 26 from both sides}
2y = 28 - 26
2y = 2 {divide both sides by 2}
y = 2/2
y = 1
Substitute y =1 in equation (I)
9x - 1 = 26
9x = 26 + 1
9x = 27
x = 27/9
x = 3
x = 3
y = 1
Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:
Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
