<span>Identify the corresponding word problem given the equation: x + 5 = 15
</span><span>C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
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</span><span>Identify the corresponding word problem given the inequality: x ≤ 4.50
</span><span>C) The price of diesel has been no more than $4.50 for the last month.
</span>---------------------
<span>Identify the corresponding word problem given the equation: x - 9.2 = 12.8
</span><span>B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
x = 12.8 + 9.2 = 22
Perry ran 22 miles
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</span><span>Identify the corresponding word problem given the equation: x + 12.50 = 55.75
</span><span>A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
</span>x = 55.75 - 12.50 = 43.25
Before he had $43.25
Answer:
x = -2
Step-by-step explanation:
3(-2 - 3x) = -9x - 4 (Given)
3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)
-6 + 9x = -9x - 4 (Simplify)
-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)
-2 + 9x = -9x (Simplify)
-2 +
(Division Property of Equality)
-2 = x (Simplify)
x = -2 (Symmetric Property of Equality)
Answer:
We would have

where " l " is length, " w" is width and "h" is height.
Step-by-step explanation:
Step 1
Remember that
Surface area for a box with no top = 
where " l " is length, " w" is width and "h" is height.
Step 2.
Remember as well that
Volume of the box = 
Step 3
We can now use lagrange multipliers. Lets say,

and

By the lagrange multipliers method we know that

Step 4
Remember that

and

So basically you will have the system of equations

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

Then you would get

You can get rid of
from these equations and you would get

And from those equations you would get

Now remember the original equation

If we plug in what we just got, we would have

Answer:
Jack wants to give a treat to his 4 friends. Jack buys a big chocolate
filled cake. He divides the cake into 1/3 pieces. How much cake did each friend get?