3(x+6)=-24
Divide both sides by 3
3(x+6)/3=-24/3
X+6=-8
X=-14
<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
Answer:
49
Step-by-step explanation:
100- 51 = 49
-7 because when it’s +(-) it’s always the same as the outside sign
-4 same thing explained above
-4
hope this helps
Statement 1 : Gail bought a $45 sweater at 1/3 off.
<u>Discount in Sweater Purchase:</u>
Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.
Discount in Suit Purchase:
Conclusion:
<u>Discount in Suit Purchase ($16.8) is greater than Discount in Sweater Purchase ($15)</u>