Divide both sides by 2 and rewrite too X^2 - x - 2 = 0. then factor and get x(x+1)-2(x+1)=0. separate them to (x+1)(x-2)=0 then you get x+1=0 and x-2=0 and solve and X equals -1 & 2
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The ratio means that for every 6 marbles, there are 7 stones.
Divide 42 marbles by 6.
42 / 6 = 7
This means that there are 7 groups of 6 marbles in 42 marbles.
Now, multiply 7 groups with 7 stones, since for every 6 marbles, there are 7 stones.
7 * 7 = 49
There are 49 stones in the large pot.
Hope this helped! Feel free to ask for any clarifications!
Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles
∠ QRT is an external angle, thus
∠ QRT = ∠ RTS + ∠ RST, substitute values
45x = 25x + 57 + x
45x = 26x + 57 ( subtract 26x from both sides )
19x = 57 ( divide both sides by 19 )
x = 3
Jane has 10 trading cards in her brand new collection. Matt has 10 times as more in his older collection. How many trading cards does Matt have?