9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
Answer:
Step-by-step explanation:
Gym A has a $150 joining fee and costs $35 per month.
Assuming that Casey wants to attend for x months, the cost of using gym A will be
150 + 35 times x months. It becomes
150 + 35x
Gym B has no joining fee and costs $60 per month.
Again, assuming that Casey wants to attend for x months, the cost of using gym B will be
60 × x months = 60x
A) To determine the number of months that it will both gym memberships to be the same, we will equate them.
150 + 35x = 60x
60x - 35x = 150
25x = 150
x = 150/25 = 6
It will take 6 months for both gym memberships to be the same.
B) If Casey plans to only go to the gym for 5 months,
Plan A will cost 150 + 35×5 = $325
Plan B will cost 60 × 5 = $300
Plan B will be cheaper
The answer is <span>D.∠3
If you use a proctor you can see they measure the same
</span>
The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.
<h3>What are the critical values of r?</h3>
Question Parameters
r = -0.868
n = 5
df = 5 - 2
df = 3
Critical values 
Generally, there exists no linear correlation between the Critical values
as r=0.878
In conclusion, Critical values: r = +0.487, no significant linear correlation
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It takes them 12 seconds to eat the whole sausage.
<h3>What is speed?</h3>
Speed is the rate of change of distance.
Analysis:
If kitten eats x cm, then puppy will eat 14 - x cm
speed = d/t
speed of kitten = 1/2
speed of puppy = 2/3
1/2 = x/t
2/3 = 14 - x / t
t = 2x--------1
2t = 3(14 - x ) -------- 2
substitute t in equation 2
2(2x) = 3(14 - x)
4x = 42 - 3x
7x = 42
x = 42/7 = 6cm
substitute value of x in equation 1
t = 2(60 = 12 seconds.
In conclusion, it takes the both animals 12 seconds to finish the sausage.
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