The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
Answer:y=16.8
Step-by-step explanation:
proportional means that x/y= constant
so there the constant is 1.75
if x=29.4 then 29.4/y =1.75
y = 29.4/1.75
You would do 56 centimeters times 1 inch per 2.54 centimeters times 1 foot per 12 inches.
Mathematically, it will look like (56 * 1) / (2.54* 12) = approximately 1.837
In sentence form: There are approximately 1.837 feet in 56 centimeters.
89 is the mode, it occurs the most (3 times)
89 is also the median, it is the middle number out of the 15 numbers in the data set. It there were 14 numbers you would add the two middle numbers and divide by 2 to get the median.
