Jack has 212 marbles.
Step-by-step explanation:
Jack and Watson have = 365 marbles
Jack and Asher have = 263 marbles
Let,
x be the marbles Jack have
y be the marbles Watson have
z be the marbles Asher have
According to given statement;
x+y=365 Eqn 1
x+z=263 Eqn 2
Watson has three times as many marbles is Asher.
y=3z Eqn 3
Putting y=3z in Eqn 1;
x+3z=365 Eqn 4
Subtracting Eqn 2 from Eqn 4
Dividing both sides by 2
Putting z=51 in Eqn 2
Jack has 212 marbles.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Answer:
It lies between 5 and 6
Step-by-step explanation:
x is the root of 30
Answer:
Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
Subtract 7x on both sides of the equal sign (it'll cancel out) then -3=-3 which makes a true statement.