STEP 1: Multiply second equation by -3.
After multiplying we have the following system:
3x+4y−3x+3y=8=−36
STEP 2: add the two equations together to eliminate x from the system.
7y=−28
STEP 3: find y
<u>y=−4</u>
<u></u>
STEP 4: substitute the value for y into the original equation to solve for x.
3x+4(−4)=8
<u>x=8</u>
The least number of point the team could have scored is the LCM of the factors given = 60.
Factor 1 = 3
Factor 2 = 4
Factor 3 = 5
therefore, LCM
= 4 * 5 * 3 [because they don't have any factors in common]
= 60
The positive integers that can divide a number evenly are referred to as factors. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied.
Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.
To learn more about LCM
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Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
11% of $67,200.
We need to keep in mind that some words and numbers here aren't important, like 401(k) plan.
So what is 11% of $67,200?
$7392
Hope this helps!