The parent volunteers:
120 snow cones ... 5 hours
x snow cones = ? ... 1 hour
120 * 1 = 5 * x
120 = 5 * x /5
x = 120 / 5 = 24 snow cones
The student council:
100 snow cones ... 4 hours
y snow cones = ? ... 1 hour
100 * 1 = 4 * y
100 = 4 * y /4
y = 100 / 4 = 25 snow cones
Result: The student council made more snow cones per hour (25 > 24).
<span>6x2 -5x –3 = 0
a = 6 b=-5 and c=-3
x = [-b +-sq root (b² -4ac)] / 2a
x = [--5 +-sq root (25 -4*6*-3)] / 2*6
x = [5 +- sq root (25 +72)] / 12
x = [5 +- sq root (97)] / 12
x1 = [5 + </span><span><span><span>9.8488578018
</span>
</span>
</span>
] / 12
x1 =
<span>
<span>
<span>
14.8488578018
</span>
</span>
</span>
/ 12
x1 =
<span>
<span>
<span>
1.2374048168
</span>
</span>
</span>
x2 = [5 -
<span>
<span>
<span>
9.8488578018
</span>
</span>
</span>
] / 12
x2 =
<span>
<span>
<span>
-4.8488578018
</span>
</span>
</span>
/ 12
x2 =
<span>
<span>
<span>
-0.4040714835
</span>
</span>
</span>
The equation of the line is y = -11x + 232
<h3>How to determine the equation?</h3>
The given parameters are:
Slope (m)= -11
Point (x1, y1) = (31, -109)
The linear equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -11(x - 31) - 109
Evaluate the product
y = -11x + 341 - 109
Evaluate the like terms
y = -11x + 232
Hence, the equation of the line is y = -11x + 232
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
Answer:
r=3
Step-by-step explanation:
simplify each side
4r+17=6r+11
Subtract 4r from both sides.
17=2r+11
Subtract 11 from both sides
6=2r
divide both sides by 2
3=r
Answer:
$687.42
Step-by-step explanation:
The total with tax is ...
(price) + (tax rate)×(price)
= price(1 +tax rate)
= $643.95×1.0675 ≈ $687.42 . . . price with tax
