9514 1404 393
Answer:
Step-by-step explanation:
Let g and b represent the numbers of candy canes the girl and boy have, respectively.
g -1 = b +1 . . . . . . girl gives to boy, they're equal
g +1 = 2(b -1) . . . . boy gives to girl; she has double
Adding 1 to the first equation gives an expression for g that can be substituted into the second equation.
g = b +2
(b +2) +1 = 2b -2
5 = b . . . . . . . . . . add 2-b, simplify
g = 5+2 = 7 . . . . . find g
The girl has 7 candy canes; the boy has 5.
To start, you need to subtract 4x from both sides, that way, x is one one sid of the equation.
Answer:
x = ± 
Step-by-step explanation:
Given
2x² - 9 = 11 ( add 9 to both sides )
2x² = 20 ( divide both sides by 2 )
x² = 10 ( take the square root of both sides )
x = ± ← exact solutions
There are two ways to solve this.
The first way is logically.
Mary can
-wear a pink dress with black shoes -wear a pink dress with white shoes
-wear a blue dress with black shoes -wear a blue dress with white shoes
-wear a yellow dress with black shoes - wear a yellow dress with white shoes
Count them up, and you'll get six combinations!
Another way is simply mathematically, which is easier in my opinion.
3 (different colored dresses) × 2 (different colored shoes) = 6 (combos)
Answer:
a² = b² -w² +2wx
Step-by-step explanation:
The algebra is pretty straightforward. Expand the expression in parentheses and add x².
b² -(w -x)² = e² = a² -x²
b² -(w² -2wx +x²) = a² -x² . . . . . expand the square
b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign
b² -w² +2wx = a² . . . . . . . . . . . . add x²
