Ok so you have to use PEMDAS . so first you have to get rid of the parenthesis.
2 x 6x = 12x then 2 x -5= -10
12 + 5x -8 = 12x -10
combine now: 12 - 8 = 4
5x + 4 = 12x - 10
- 4 -4
5x = 12x -14
-12x=-12x
-7x = -14
-14/-7
x=2
Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.
Create a triangle starting with the length of 540 coming out of SF to LA bearing 140.
This looks like it leaves SF in IV quadrant and enters LA in II quadrant. The wind will take the plane more to the east (right). Therefore the pilot must aim to the west (left) in order for the wind to push it to the intended destination of LA. The second side of the triangle should come out of LA from the II quadrant bearing 290. The length of this side is 60t (60 km/h * t = time flying). The third side of the triangle connects the first two. There for it comes out of SF at some unknown angle > 140 and connects with the 60t side. The length of this third leg is 640t. (640 km/h * t = time flying). The angle between the 540 side and the 60t side is 30. This is found because the 540 side enters LA in 2nd quadrant as 130 angle . The 60t side enters LA in 2nd quadrant as 160 angle. Using law of sin's: sin 30/640t = sin x/60t. The t's cancel and you are left with sin x = 3/64. When solving for the angle x you get x = 2.6867 degrees. Adding this to the bearing of 140, the compass bearing should be 142.6867 or 142.7 degrees. To find the value of t, you use the law of sin's to get sin 30/640t = (sin (180 - 30 - 2.6867))/540. Solving for t gives you: t = .7811. This is in hours. To convert to minutes multiply by 60 to get t = 46.87 minutes. Add this to the 2pm departure time to get 2:47 pm arrival time.
Replace t with -2 and solve for a number. It should work since it's not a fraction.
Answer:
$129 000/yr
Step-by-step explanation:
Weighted average is used to answer this question.
<em>total employees are 20</em>
10 employees make 80 000
<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)
6 employees make 150 000
<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>
4 employees make 220 000
<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>
<em />
<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>
<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20
<em />
<em>weighted average = </em>2580000/20
<em />
<em>Weighted average = </em>129 000
<em />
