Answer:
4
Step-by-step explanation:
1/3 of 12 is 1/3*12. 12/3=4.
Bot 2 will click more times in 10 seconds, because when you divide 16 by 2 to get its unit rate it is 8 clicks per second. Times that by 10 and you only get 80, whereas if you divide 30 by 3 the unit rate is 10. At this rate, by 10 seconds it will have clicked 100 times. Bot 2 clicks 20 more times than Bot 1 in 10 seconds.
It should be 6100 which rounded to the nearest ten gives 61 × 10²
Mrs.Lombardo.<span>if you do the math out, 4/5 and 2/3 give you an LCD (Least Common Denominator) of 15, so this means 4/5 = 12/15, and 2/3 = 10/15. 4/5 is greater than 2/3. </span>
Answer:
b = 3 and a = -1
Step-by-step explanation:
You have your given equation:
2a - 3b = -11
a + 3b = 8
You need to find what a and b is.
To find b:
2a - 3b = -11
-2a - 6b = -16
I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.
So now your equation would look like this when you solve for b:
2a - 3b = -11
-2a - 6b = -16
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a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.
To find a:
2a - 3b = -11
a + 3b = 8
I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.
Your equation will look like this when you solve for a:
-2a + 3b = 11
-1a - 3b = -8
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-3a = 3 then divide -3 to 3 which is -1 so a = -1.
Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.
1. 2(-1) -3(3) = -11
-2 - 9 = -11
2. -1 + 3(3) = 8
-1 + 9 = 8