Minus p both sides
xy=5-p
divide both sides by x
y=(5-p)/x
B
Answer:
D
Step-by-step explanation:
Let the total production order be X. The combined rate is thus x/36 orders per hour.
Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.
Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.
The new total rate thus becomes x/108 + x/36 = 4x/108
Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours
Answer: XI = 10.35 mm
Step-by-step explanation:
Considering the given triangle XIF, to determine XI, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
XI/SinF = XF/SinI = FI/SinX
The sum of the angles in a triangle is 180°. It means that
F + 63 + 52 = 180
F = 180 - (63 + 52)
F = 65°
Therefore
XI/Sin 65 = 9/Sin 52
Cross multiplying, it becomes
XISin52 = 9Sin65
0.788XI = 9 × 0.906
0.788XI = 8.154
XI = 8.154/0.788
XI = 10.35
Answer:
C
Step-by-step explanation:
ZC is an altitude, thus ∠ZCY = 90°
The sum of the3 angles in a triangle = 180°
Sum the 3 angles in ΔCYZ and equate to 180
90 + 5x + 22 + 12x = 180 ← simplify left side
17x + 112 = 180 ( subtract f112 from both sides )
17x = 68 ( divide both sides by 17)
x = 4
Hence
∠WZC = 12x = 12 × 4 = 48° → C
Answer:
$7,400
Step-by-step explanation:
Multiply 5000 by 0.04 so you know how much interest is for 1 year. Then multiply that number by 12. Then add that number to 5000.
