Step-by-step explanation:
1.

2.

First equation: Your equation is given.
Second equation: Distribute by multiplying every number in the parentheses by the number outside it.
3rd equation: Combine like terms by adding 4x to both sides.
4th equation: Combine like terms by subtracting 14 from both sides.
5th equation: Divide both sides by -2, the coefficient of x.
Answer:
357
Step-by-step explanation:
First you would add 61 to 148 for Brian's sore then you would add Brian's score to Colin's score to get 357. Hope this helps! Have a great day!
Try Socratic hope that helps
Answer:
10 more students chose purple than red as their favorite color
Step-by-step explanation:
Step 1
Determine the proportion of students that chose each color
purple=26%
red=22%
Step 2
Use the expression for the number of students per color as follows;
Number of students per color=proportion per color×total number of students
for purple;
proportion that chose purple=26%
total number of students=250
replacing;
Number of students that chose purple=(26/100)×250=65 students
for red;
proportion that chose red=22%
total number of students=250
replacing;
Number of students that chose purple=(22/100)×250=55 students
Step 3
Difference=65-55=10
10 more students chose purple than red as their favorite color
Answer:
The probability of the temperature exceeding 65 degrees Fahreneit but not needing a rolling blackout is 0.4- Hence, there is a 40% chance.
Step-by-step explanation:
Lets call F the event 'the temperature will exceed 85 degrees Fahrenheit' and B the event 'a blackout will be needed'.
We want P(F ∩ B^c), note that if F happens, there could be 2 disjoint possible events: B or B^c, hence
P(F) = P(F ∩ B) + P(F ∩ B^c)
Hence
P(F ∩ B^c) = P(F) - P(F ∩ B) = 0.6 - 0.2 = 0.4