Answer:
7x+ 5y <= 10
Step-by-step explanation:
As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.
It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.
On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.
Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is
7x+ 5y <= 10
Step ![1](https://tex.z-dn.net/?f=1)
<u>Find the value of MN</u>
In the right triangle MNL
Applying the Pythagorean Theorem
![ML^{2} =MN^{2} +NL^{2}](https://tex.z-dn.net/?f=ML%5E%7B2%7D%20%3DMN%5E%7B2%7D%20%2BNL%5E%7B2%7D)
Solve for MN
![MN^{2}=ML^{2}-NL^{2}](https://tex.z-dn.net/?f=MN%5E%7B2%7D%3DML%5E%7B2%7D-NL%5E%7B2%7D)
in this problem we have
![ML=25\ units\\NL=15\ units](https://tex.z-dn.net/?f=ML%3D25%5C%20units%5C%5CNL%3D15%5C%20units)
Substitute in the formula above
![MN^{2}=25^{2}-15^{2}](https://tex.z-dn.net/?f=MN%5E%7B2%7D%3D25%5E%7B2%7D-15%5E%7B2%7D)
![MN^{2}=400](https://tex.z-dn.net/?f=MN%5E%7B2%7D%3D400)
![MN=20\ units](https://tex.z-dn.net/?f=MN%3D20%5C%20units)
Step ![2](https://tex.z-dn.net/?f=2)
<u>Find the value of cos (M)</u>
we know that
In the right triangle MNL
![cos(M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}=\frac{MN}{ML}=\frac{MN}{25}](https://tex.z-dn.net/?f=cos%28M%29%3D%5Cfrac%7Badjacent%5C%20side%5C%20angle%5C%20M%7D%7Bhypotenuse%7D%3D%5Cfrac%7BMN%7D%7BML%7D%3D%5Cfrac%7BMN%7D%7B25%7D)
Substitute the value of MN
![cos (M)=\frac{20}{25}=\frac{4}{5}](https://tex.z-dn.net/?f=cos%20%28M%29%3D%5Cfrac%7B20%7D%7B25%7D%3D%5Cfrac%7B4%7D%7B5%7D)
therefore
<u>the answer is</u>
The value of cos(M) is ![\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D)
Answer:
1
3
5
Step-by-step explanation:
Answer:
6 outcomes
Step-by-step explanation:
A tree diagram is a diagram that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.
A restaurant sells combo meals in the sizes of small, medium, or large (3 outcomes in total).
The combo comes with either a hamburger or chicken strips (two outcomes for each one previous outcome - 6 outcomes in total).
Combo also includes either French fries or onion rings (two outcomes for each one previous outcome - 12 outcomes in total).
Onion rings include half of all outcomes - 6 outcomes
See attached diagram
Answer:
Sam has $900 more money. In total he now has $905.