The decimal computed shows that Tracy doesn't have enough for the construction.
<h3>How to calculate the length?</h3>
From the information given, Tracy has three pieces of wood that are each 8 meters long and one piece that is 7 meters long. Therefore, the addition of the lengths will be:
= (3 × 8) + 7
= 24 + 7.
= 31m
Since Tracy needs 31.5 meters of wood for a porch railing, it shows that she doesn't have enough.
Learn more about decimal on:
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Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
But in here you can ask questions that are not math so this app has more variety but what ever works for you use it.
Answer:
Step-by-step explanation:
Let x represent the number of seventh graders in the choir:
48=x/2
x=96
Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
