<span>6x – 7y = 16
2x + 7y = 24
This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.
</span> 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5
Substitute 5 for x into either of the above equation and solve algebraically for y.
2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2
Check work by plugging both x- and y-values into each original equation.
6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24
Answer:
x = 5; y = 2
(5, 2)
Answer:
The probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
Step-by-step explanation:
Has Gained Weight Has Not Gained Weight
Does not take vitamins 52 19
Takes one vitamin per day 35 49
Takes more than one vitamin per day 72 80
We are supposed to find the probability that he or she has gained weight, given that he or she takes more than one vitamin per day
A= he or she has gained weight
B=he or she takes more than one vitamin per day
B = 72+80=152
So,
So, Option C is true
Hence the probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
The total number of combinations without restrictions is
10 * 10 * 10 * 10 * 10 = 100000
Problem A
10 * 9 * 8 * 7 * 6 = 30240
the number of ways the combination can be set up with no repetition.
The probability of such an event is P = 30240 / 100000 = 0.3024
Problem B
The number of ways that can be done with repetition and no zeros is
9 * 9 * 9 * 9 * 9 = 59049
The probability of such an event is
P = 59049 / 100000 = 0.59049
Answer:
Step-by-step explanation:
y - 3x = 18
To find the y- intercept let x = 0 in the equation and solve for y
y - 3(0) = 18
y - 0 = 18
y = 18 ⇒ (0,18 ) ← y - intercept
To find the x- intercept let y = 0 in the equation and solve for x
0 - 3x = 18
- 3x = 18 ( divide both sides by - 3 )
x = - 6 ⇒ (- 6, 0 ) ← x- intercept
Answer: what?????????????
Step-by-step explanation:
The work is confussssssssssssssssiiinnnnnnnnnnnnnnnnnnnnnnnngggggggggggggggggggggggggggggggggggggggggggggg.
EEEEEEXXXXXXXXPPPPPPPPLLLLLLAAAAAAAIIIIIIIIIINNNNNNN
BETTER