Answer:
9(5e-3f)
Step-by-step explanation:
so, to start, you want to see what they have in common. the variables are not the same, so you cannot take a variable out; however, 45 and 27 have something in common. they can both be divided by 9! (this is a skill you will have to practice). so, after recognizing this, you can divide both numbers by 9, and you would have 5e-3f. however, we cannot just change that because that is not equal to 45e-27f. so, we make sure we include what we did. because we divided by nine, we are going to put the greatest common factor outside of the numbers after we put them in parentheses. 9(5e-3f). we do this because multiplication is the opposite of division, and so this just shows that if we use the distributive property, it would multiply back out to 45e-27f. I hope this helps!
62.50/5=12.50 for each tour
500/12.50 = 40 tours
The answer is m = 7.
1. (<span>13−m=2(m−4) </span>Regroup terms
2. Expand (<span>13−m=2m−<span>8)
3. </span></span>Add <span><span>m</span></span> to both sides (<span>13=2m−8+<span>m)
4. </span></span>Simplify (<span>2m−8+m</span> to <span><span><span>3m−8)
5. add 8 to both sides (13 + 8 = 3m)
6. </span></span></span>Simplify <span>13+8 to 21
7. </span>Divide both sides by <span><span>33</span></span> (21/3 = m)
8. simplify 21/3 to 7 (7 = m)
9. switch sides ( finally m = 7)
Answer:
The final step in determining the volume of the pyramid is V = one-third (30) (12).
Step-by-step explanation:
Given : Abdul started solving for the volume of the pyramid using the steps below. V = one-third B h
A rectangular pyramid with a base of 10 meters by 3 meters and a height of 12 meters.
To find : What is the final step in determining the volume of the pyramid?
Solution :
The volume of pyramid is V = one-third B h
The base is B=(3) (10) = 30 meters squared
The height is h=12 meters
Substitute the value,
V = one-third (30) (12)
Therefore, the final step in determining the volume of the pyramid is V = one-third (30) (12).
So, option 1 is correct.
Answer:
There are 3 angles on a straight line : WYX, WYV, VYZ
now,
given, (WYV = 6x - 12) , (VYZ = x + 16) ,
(WYX = VYZ) { They are opposite angles}
.
Sum of all the angles will be 180°
WYX + WYV + VYZ = 180°
(6x - 12) + (x + 16) + (x + 16) = 180°
6x - 12 + 2x + 32 = 180°
8x + 20 = 180°
8x = 180° - 20°
8x = 160°
x = 160°/8 = 20°
now,
put the value of 'x' in WYV i.e. (6x - 12) = (6*20 - 12) ° = (120 - 12) ° = 108°
hence, WYV = 108°
.
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