Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
2
Step-by-step explanation:
You can rewrite thosee two equations as -9x+12=-6, because f(x)=f(x)
Now isolate x
-9x+12=-6
-9x+12-12=-6-12 (subtract 12, subtraction property of equality)
-9x=-6-12
-9x=-18 (simplify)
-9x/-9=-18/-9 (divide by 9, division property of equality)
x=2
ANSWER
EXPLANATION
We want to find an odds ratio from a given probability, which is
We subtract the numerator 1 from the denominator 4 to obtain
The answer is the number of unfavorable outcomes.
The Odds can then be expressed as
The ratio of favourable outcomes to unfavorable outcomes.
Or
Answer:
<u>Hence final answer is B: Step 2.</u>
Step-by-step explanation:
Step 1: Find the total points needed to score in six games: 96x6=576
Justification:
Product of 96 and 6 is 576 which is same number found by Brenda. So step 1 is correct.
Step 2: Find the total points scored: 92+110+85+78=365
Justification:
Sum of total points scored by Brenda is 92+110+85+78= 461.
But she got different value 365.
Hence step 2 is wrong.
<u>Hence final answer is B: Step 2.</u>
Answer: b
Step-by-step explanation: the parallel proportionality theorem states that “if two or more parallel lines are intersected by two transversals, the parallel lines divide the transversals proportionally.” Therefore, you make a ratio and solve:
(4/2)=(6/x) and if you solve, x=3
now, 6+3=9, so 2x-11=9
if you solve for that, x=10
