Answer:No
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Answer:
Step-by-step explanation:
There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.
Thus,
Open the parenthesis
Add 10 to both sides
<span>2C +5(c - 5) =10
</span><span>2C +5C - 25 =10
7C = 35
C = 5</span>
6000x = 135000; x ≈ 23.
We are required to have one fire extinguisher for every 6000 ft of space in the building; this means we need to find out how many 6000-ft spaces we have in 135000.
Solving this equation, we divide both sides by 6000:
6000x/6000 = 135000/6000 = 22.5 ≈ 23
Answer:
a) This probability as empirical Probability.
b) This probability is not accurate because this experiment must be repeated a large number of times for empirical probabilities should be accurate.
Step-by-step explanation:
On 6 occasions, of which three times the train was late. that means 3 times the train is on time.
Empirical probability = Number of outcomes satisfying event / No.of trails
= 3/6 = 0.5.
a) This probability as empirical Probability.
b) This probability is not accurate because this experiment should be repeated a large number of times for empirical probabilities should be accurate.
