Answer: Aiden bought 8 notebooks and 5 covers.
This is a system of equations problem. To solve this, we have to write 2 different equations and then solve them.
Our equations are:
x + y = 13
1.37x + 1.08y = 16.36
Where x is the number of notebooks and y is the number of covers.
To solve these equations, you can use anyone of these methods:
1) Graphing
2) Substitution
3) Elimination
The easiest way would be to graph them with a graphing calculator and find the point of intersection.
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:
a/c-b/c=(a-b)/c so you just have:
(2x-6)/(x-3) now if you factor 2 from the numerator
2(x-3)/(x-3) the (x-3)s cancel out leaving
2
However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)
What this all means is that that expression will equal 2 for all real values of x other than 3.
<h3>
<em>The </em><em>right </em><em>answer</em><em> is</em><em> </em><em>of </em><em><u>Option </u></em><em><u>C</u></em></h3>
<em><u>Please </u></em><em><u>see</u></em><em><u> the</u></em><em><u> attached</u></em><em><u> picture</u></em>
<em><u>hope </u></em><em><u>it</u></em><em><u> helps</u></em>
<em><u>Good </u></em><em><u>luck</u></em><em><u> on</u></em><em><u> your</u></em><em><u> assignment</u></em>
Step-by-step explanation:
e^(x+h) is always larger than e^x.
so the minimum function value in that interval is e⁴.
and the maximum function value in that interval is e⁶.
e⁴ = 54.59815003... ≈ 54.60
e⁶ = 403.4287935... ≈ 403.43
Answer:
Part 1) ![4\frac{\$}{pint}](https://tex.z-dn.net/?f=4%5Cfrac%7B%5C%24%7D%7Bpint%7D)
Part 2) ![\frac{1}{4}\ pint](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5C%20pint)
Part 3) ![5\ pints](https://tex.z-dn.net/?f=5%5C%20pints)
Part 4) ![\$32](https://tex.z-dn.net/?f=%5C%2432)
Step-by-step explanation:
Part 1) What is the cost per pint?
Divide
by ![3\ pints](https://tex.z-dn.net/?f=3%5C%20pints)
so
![\frac{12}{3}\frac{\$}{pints} =4\frac{\$}{pint}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B3%7D%5Cfrac%7B%5C%24%7D%7Bpints%7D%20%3D4%5Cfrac%7B%5C%24%7D%7Bpint%7D)
Part 2) How many pints do you get per dollar?
By proportion
Part 3) At this rate, how many pints can you afford for
?
By proportion
Part 4) At this rate, how much will
pints of raspberries cost
By proportion
![\frac{4}{1}\frac{\$}{pint} =\frac{x}{8}\frac{\$}{pints}\\ \\x=8*4\\ \\x=\$32](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D%5Cfrac%7B%5C%24%7D%7Bpint%7D%20%3D%5Cfrac%7Bx%7D%7B8%7D%5Cfrac%7B%5C%24%7D%7Bpints%7D%5C%5C%20%5C%5Cx%3D8%2A4%5C%5C%20%5C%5Cx%3D%5C%2432)