Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
Answer:
(6,4)
Step-by-step explanation:
(4+2,7-3)=(6,4)
Answer:
1. area = 1/2bh = (1/2)(21)(18) = 189 yd²
2. 3x2x3x2 = 36 different ways
3. area of kite = (1/2)(18)(24) = 216 units²
4. 8:52 or reduced, 2:13
5. Sorry, this is not my strong point
Step-by-step explanation:
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Answer:
Mean: 46 Median: 45 Mode: 45
Step-by-step explanation:
Mean: 41+45+39+56+48+45+42+34+47+62+35+58 = 552 then, 552/12 = 46
Median: Put numbers in order from least to greatest and cross one out on each side until you get to the middle number. 45 and 45 were the last two numbers to be crossed out, the middle of those would simply be 45!
Mode: 45 appears twice while the rest of the numbers only appeared once.
I hope this helped, good luck! :)
