One way to look at this is to make 2 equations and treat it as a set of equations. We will make the cost of a donut equal to x, and the cost of a coffee equal to y.
Harold's order:
4x + 2y = 4.08
Melinda's order:
2x + 3y = 3.92
To combine these equations, we need to cancel out either x or y:
4x + 2y = 4.08
<span>2x + 3y = 3.92
</span>
4x + 2y = 4.08
<span>4x + 6y = 7.84
</span>
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
We can now combine these equations:
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
-4y = -3.76
y = 0.94
Therefore the cost of a large coffee is $0.94. We can plug this into either original equation to find the cost of a donut.
<span>4x + 2y = 4.08
</span>4x + 2(0.94) = 4.08
4x + 1.88 = 4.08
4x = 2.20
x = 0.55
The cost of a donut is $0.55, and the cost of a large coffee is $0.94.
0.25r - 0.125 + 0.5r = 0.5 + r
0.75r - 0.125 = 0.5 + r |add 0.125 to both sides
0.75r = 0.625 + r |subtract r from both sides
-0.25r = 0.625 |divide both sides by (-0.25)
r = - 2.5
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Step-by-step explanation:
Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so:
F+T = 15
T = 15-F
She has $120 total:
$120 = ($5)*F + ($10)*T
$120 = $5*F + ($10)*(15-F) [Substitute 15-F in place of T]
120 = 5F + 150 - 10F
-30 = -5F
6 = F
Check:
T= 15-F = 15=6 = 9
$120 = ($5)*6 + ($10)*9
$120 = $30 + $90
$120 = $120
Answer:
Choice 1) 640 Pi
Step-by-step explanation:
8^2(Pi)(10)=volume = 640Pi
