Answer:
Step-by-step explanation:
Simplifying
2x + 4y = 13
Solving
2x + 4y = 13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
2x + 4y + -4y = 13 + -4y
Combine like terms: 4y + -4y = 0
2x + 0 = 13 + -4y
2x = 13 + -4y
Divide each side by '2'.
x = 6.5 + -2y
Simplifying
x = 6.5 + -2y
(Hope this helped!)
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
Learn more about linear equations at:
#LearnwithBrainly
no they cannot because they would not equal 180 degrees
Answer:
Check the explanation
Step-by-step explanation:
in this particular type of problems,we have to go with the cases.we know there would be a 50 odd-even pairs between 1 and 100.
1st case: 1 is placed at the head position of given set S.so there is a chance of only one even number beside 1.so there are 50×98!
2nd case: 1 is placed at tail position of S.so there is again a chance of one even number beside 1. so there are
50×98!
3rd case: 1 is placed neither at head nor at tail.1 can be at rest 98 places.lets fix the place of 1.then the choices are difference between permuting all the numbers and 1 surrounded by two odd numbers.
i.e., 99! - 49p2 ×97!
so total choces are = 2×50×98! + 99! - 49p2 × 97!
= 7448 × 97! + 99!
X+ (x+2)+(x+4)= 108
3x+6= 108
3x=102
x= 34
Final answer: 34, 36, 38