In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.
Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
Answer:
The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

Step-by-step explanation:
The given parameters can be summarized as:

Where: x = Soybeans and y = Oats.
So, the system of equations are:




The best way to solve this, is using graph
Plot the following equations on a graph, and get the points of intersection:



From the attached graph, we have:



Substitute each of the values of x's and y's in the cost function to get the minimum cost:










The values of x and y that gives the minimum cost is:

and the minimum cost is:

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.
<h3>
What is Cost Price?</h3>
Cost price is the amount we pay to buy an item at which it is available.
Here,
Selling price of a cake = 200 cedis
Discount because of sale = 10% on each unit.
(Only if 4 cakes purchased at a time)
Amanda purchased 8 cakes
So, Amanda need to pay only 90 percent of the total amount.
Total cost price of 8 cakes for Amanda = (200 X 90%) X 8
= 180 X 8
= 1440
Thus, Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.
Learn more about Cost Price from:
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Hhhhhhhhhhhhhhhhhhh the answer is 8