2x+y=2
2x-5y=14
Subtract the two equation
6y= -12
Y= - 2
Put y= -2 in any equation
2x-2=2
2x=4
X=2
Answer:
B) 5
Step-by-step explanation:
We are given the function:
We are given that f(a) = 40 and <em>a</em> > 0 and we want to determine the value of <em>a</em>.
Substitute:
Distribute:
Subtract 40 from both sides:
We can factor using 8 and -5. Hence:
By the Zero Product Property:
Solve for each case:
Since <em>a</em> > 0, we can eliminate the first solution. Hence:
Our answer is B.
If we know that she got 75%, we can write it as the fraction 75/100.
We also know that she got 60 correct out of an unknown number of questions, which we can call 'x'
We means we know that 75/100 = 60/x (the number of questions)
Cross multiply to get an equation.
75 * x=60 * 100 -----> 75x=6000
Divide both sides by 75 to solve for x.
6000/75=80
x=80, meaning that her test had 80 questions on it.
Answer:
a)
Theoretical: 10/30 = 1/3
Experimental: 12/30 = 6/15
Step-by-step explanation:
the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2
30 ÷ 3 = 10
the theoretical probability = 10/30 or simplified 1/3
the experimental probability is the result when one of the numbers from
1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15
Theoretical:
fraction: 1/3
decimal: 0.33∞
percentage: 33%
Experimental:
fraction: 6/15
decimal: 0.4
percentage: 40%
I hope this was helpful :-)
