If you would like to know which one of the options is better to buy, you can calculate this using the following steps:
3 sandwiches ... $4.95
1 sandwich ... $x = ?
______________________
3 * x = 1 * 4.95 /3
x = 4.95 / 3 = $1.65
4 sandwiches ... $6.72
1 sandwich ... $y = ?
______________________
4 * y = 1 * 6.72 /4
y = 6.72 / 4 = $1.68
Result: You should buy sandwiches from the first option ($1.65 < $1.68 per unit).
<h3>
Answer: D) One solution</h3>
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Work Shown:
2(b+3)-17 = 3b-7+b
2b+6-17 = 4b-7
2b-11 = 4b-7
-11+7 = 4b-2b
-4 = 2b
2b = -4
b = -4/2
b = -2
There is one solution and it is b = -2
A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.
Answer: cos (25° + 10°)
Step-by-step explanation: The expression:
sin(25°) cos(10°) − cos(25°) sin(10°)
is associated to the expression for the cosine of the sum of two angles that is:
cos (α+β) = sinα *cosβ -cosα*sinβ
Hence if we do α = 25° and β = 10°
by subtitution we get:
cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)
It will take her about 7 days, because :
12*7=84
84+28= 112
112= +100
(Hope that helps)
The square root is 41.9332803391. To double check, multiply 41.9332803391 by 41.9332803391, which gave me 1758.4.
I hope this helps!