5(x-2)+7=65-4(5x-8)
We move all terms to the left:
5(x-2)+7-(65-4(5x-8))=0
We multiply parentheses
5x-(65-4(5x-8))-10+7=0
We calculate terms in parentheses: -(65-4(5x-8)), so:
65-4(5x-8)
determiningTheFunctionDomain
-4(5x-8)+65
We multiply parentheses
-20x+32+65
We add all the numbers together, and all the variables
-20x+97
Back to the equation:
-(-20x+97)
We add all the numbers together, and all the variables
5x-(-20x+97)-3=0
We get rid of parentheses
5x+20x-97-3=0
We add all the numbers together, and all the variables
25x-100=0
We move all terms containing x to the left, all other terms to the right
25x=100
x=100/25
x=4
Answer:
The question is incomplete, this is the complete question.;
There are five nickels, five dimes and five quarters in your pocket. You randomly pick three coins and place them on the counter the first coin is a nickel, the second is a dime and the third is a quarter.find the probability of this occurring.
The answer to the question is;
the probability of this occurring is 1/27
Step-by-step explanation:
Let n(N) =5 ( the number of nickels)
n(D) =5 ( the number of dimes) and
n(Q) = 5 ( the number of quarters)
P(N)= 5/15=1/3 (prob of picking a nickel)
P(D) =5/15=1/3 (prob of picking a dime)
P(Q) = 5/15= 1/3 (prob of picking a quatre)
The probability of picking the three= P(N)×P(D)×P(Q)
= 1/3×1/3×1/3
= 1/27
Answer:
Step-by-step explanation:
Move 2x to left hand side and change it's sign
⇒
Collect like terms
⇒
Divide both sides of the equation by 4
⇒
Calculate
⇒
Hope I helped!
Best regards!!
Using weighted average, it is found that she should score 67% on the computer science test.
- The weighted average is given by <u>each proportion multiplied by it's score</u>.
In this problem, the proportions and scores are given by:
- Proportion of 32% = 0.32 for a score of 300.
- Proportion of x for a score of 200.
- Proportion of 46% = 0.46 for a score of 300 + 200 = 500.
Then
She should score 67% on the computer science test.
A similar problem is given at brainly.com/question/24855677
<span>The length is:
the square root of [ (the difference in 'x' values)² + (the difference in 'y' values)² ]
D = √ [ (-2-6)² + (5-2)² ]
= √ [ (-8)² + (3)² ]
= √ (64 + 9) = √75 = 5√3 = <u>8.66</u> (rounded to 3 sig-figs)</span>
