Answer:
Step-by-step explanation:
2
x
2
+
5
x
+
3
=
(
x
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1
)
(
2
x
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3
)
Explanation:
2
x
2
+
5
x
+
3
=
2
x
2
+
2
x
+
3
x
+
3
=
2
x
(
x
+
1
)
+
3
(
x
+
1
)
=
(
x
+
1
)
(
2
x
+
3
)
[Ans]
H'=-32t+96
0=-32t+96
-96=-32t
3=t
3 seconds
H=-16t^2+96t+3
H=48^2+288+3
H=48^2+291
In order to find the price per bar, we divide the price by the amount of bars. For the first one:
15.37/10 = $1.54 per bar
The second package:
15.35/12 = $1.28 per bar.
The 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar. The 12-pack has the better price per bar.
Now, let's look at the price per ounce. We do this in a similar way. We find the total amount of ounces in the package, and divide the price by the number of ounces.
In the first package, we multiply 10*2.1=21. We have 21 ounces in the first package. Now we divide 15.37/21. In the first package, we have 0.73 dollars per ounce.
Now, let's look at the second package. We start by multiplying 1.4*12=16.8. There are 16.8 ounces in the package. Now, we divide 15.35/16.8=0.91. So, in the second package, we have 0.91 dollars per ounce.
The cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91. The first package has the better price per ounce.
The better explanation is the second one, because I prefer the lower price per ounce, I think that the 1st pack is the better buy.
Answer:
<h2>x = 7 cm</h2>
Step-by-step explanation:
The perimeter of the given triangle:
P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.
Therefore we have the equation:
2x + 1 + x + 2 + 3x - 9 = 36 <em>combine like terms</em>
(2x + x + 3x) + (1 + 2 - 9) = 36
6x - 6 = 36 <em>add 6 to both sides</em>
6x = 42 <em>divide both sides by 6</em>
x = 7
