Well we first need to add up all the purchases, 2 sandwiches are 6.86 each so by multiplying that we get 13.72. Next are the burgers, 3.44 x 4 is 13.76. We don’t need to multiply fries since there’s only one, so that’s just 3.19. Finally there are 4 drinks for 1.52 which gives us 6.08. We need to add these prices all together to get the total. 13.72 + 13.76 + 3.19 + 6.08 = 36.75. In order to find ten percent we multiply 36.75 by .10 which gives us 3.675. Double of 3.675 is 7.35. The price 13.72 (14 rounded) needs to be added with the tax 3.675 (4 rounded) and once again add 7.35. All together we get 25. Are there no other answer choices? Unless I did something wrong I’m sure this is right
Answer:5
Step-by-step explanation:
reverse the steps
2(x+1)/3=4
2(x+1)/3×3=4×3
2(x+1)/2=12/2
x+1=6
x=6-1
x=5
<em>z</em> = 3<em>i</em> / (-1 - <em>i</em> )
<em>z</em> = 3<em>i</em> / (-1 - <em>i</em> ) × (-1 + <em>i</em> ) / (-1 + <em>i</em> )
<em>z</em> = (3<em>i</em> × (-1 + <em>i</em> )) / ((-1)² - <em>i</em> ²)
<em>z</em> = (-3<em>i</em> + 3<em>i</em> ²) / ((-1)² - <em>i</em> ²)
<em>z</em> = (-3 - 3<em>i </em>) / (1 - (-1))
<em>z</em> = (-3 - 3<em>i </em>) / 2
Note that this number lies in the third quadrant of the complex plane, where both Re(<em>z</em>) and Im(<em>z</em>) are negative. But arctan only returns angles between -<em>π</em>/2 and <em>π</em>/2. So we have
arg(<em>z</em>) = arctan((-3/2)/(-3/2)) - <em>π</em>
arg(<em>z</em>) = arctan(1) - <em>π</em>
arg(<em>z</em>) = <em>π</em>/4 - <em>π</em>
arg(<em>z</em>) = -3<em>π</em>/4
where I'm taking arg(<em>z</em>) to have a range of -<em>π</em> < arg(<em>z</em>) ≤ <em>π</em>.
Answer: 144 ft^3 is the volume of the prism
Step-by-step explanation: Volume=Length*Height*Width. So first I decided to multiply 12*6=72. The I multiplied 72*2=144.
120 divided by 8= 15
15 students per year is the answer.
