Answer:
y=60 due to adjacent angle
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<h3>= 35% × $70 ÷ 100</h3><h3>= 24.5</h3><h3>= $70 - 24.5</h3><h3>= 45.5</h3><h3>= 5% × 45.5 ÷ 100</h3><h3>= 2.275</h3><h3>= 2.275 + 45.5</h3><h3>= ~$47.775</h3><h3>= <u>$</u><u>48</u></h3><h3>Janet Will Have Enough Money Left Over For A Movie Ticket.</h3>
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Answer:
- premium: 165 gallons
- water: 120 gallons
Step-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>
I believe the correct answer is: B. But I’m not sure.
