Answer:
6mm
Step-by-step explanation:
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:
333.3
Step-by-step explanation:
45 % = 150
100% = <u>100% x 150</u>
45%
= 333.3
non of the answers presented makes sense as 45 % = 150 the number (100%) should be more than 150
Answer:
See below.
Step-by-step explanation:
a.
O is the origin, so its abscissa is 0. O: 0
The only point 4 units from O is A, so A: 4
Point C has a positive abscissa like A.
Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.
B: -3
C: 3
D: -4.5
E: -6
M = (4 + (-6))/2 = -1. M: -1
b.
OB = |0 - (-3)| = |3| = 3
DA = |-4.5 - 4| = |-8.5| = 8.5
Answer:
a) 0.7225
b) 0.5220
c) 0.478
It is not unusual.
Step-by-step explanation:
Probability grocery bags are plastic = 85% = 0.85
a) If two grocery bags are chosen at random, the probability that both grocery bags are plastic would be:
b) If four bags are chosen at random, the probability that all are plastic:
Probability all four bags chosen randomly are plastic bags is 0.5220
c) The probability that at least one of four randomly selected grocery bags is paper:
Let's first check for the probability of getting a paper bag.
P(paper bag) = 1 - 0.85 = 0.15
Probability of getting a paper bag is 0.15
Probability that at least one of four randomly selected grocery bags is paper would be:
Since the probability that at least one bag is paper, 0.478 is greater than 0.05, it is not unusual.
