Find the missing value of: What is 13% of 100?
2 answers:
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Answer:
x = 4
which agrees with the third listed answer among the given options
Step-by-step explanation:
We can re-write the logarithmic equation using the properties of logarithms:
Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:
and for this equation to verify, x must be 4
For the given system of inequalities, x represents the number of brownies and y the number of cookies.
And the graph can be seen in the image below.
<h3>What each variable represents?</h3>Here we have the system of inequalities:
4x + 6y ≥ 200
x + y < 75.
We know that they want to make less than 75 items, that is what the second inequality:
x + y < 75.
Represents.
We also know that each brownie costs $4, and each cookie costs $6, then the expression:
x*4 + y*6
Represents the revenue for selling x brownies and y cookies, and because they want to earn at least $200, the inequality becomes:
x*4 + y*6 ≥ 200
So we conclude that x represents the number of brownies and y the number of cookies.
Now the system is:
4x + 6y ≥ 200
x + y < 75.
To graph it, you just need to graph both the lines and shade the indicated region, we can write the inequalities sa:
y ≥ (200 - 4x)/6
y < 75 + x
Just graph these two lines, for the first one you need to use a solid line and shade the region above the line, for the second, a dashed line and you need to shade the region below the line. The graph can be seen below.
The solutions to the systems are in the region where both shaded parts intersect.
There we can see that the point x = 20 and y = 20 (among a lot of other ones) is a solution to the system.
If you want to learn more about systems of inequalities:
#SPJ1
