The answer is 17 gallons of water plz give me branliest
I am assuming that 114114 is actually 114.
Toni: 20 + 0.80/lap
Marcy: 15 + 0.85/lap
Marcy: x laps
Toni: 114x laps
[20 + 0.80(114x)] + [15 + 0.85x] = 257
20 + 91.2x + 15 + 0.85x = 257
92.05x = 257 - 35
92.05x = 222
x = 222/92.05
x = 2.41 laps
Marcy: x = 2.41 laps
Toni: 114x = 114(2.41) = 274.74 laps
20 + 0.80(274.74) = 20 + 219.79 = 239.79 or 240
15 + 0.85(2.41) = 15 + 2.05 = 17.05 or 17
240 + 17 = 257
Answer:
$1.95 is 15% of 13 dollars
Answer:
it is subtract 5
Step-by-step explanation:
<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
