Answer:
1
Step-by-step explanation:
We don't know how many cans Hudson bought.
We are told, he bought:
10 green balls
5 yellow balls
Each can has 2 green balls, so there are:
10/2 = 5 cans
How can we distribute 5 yellow balls in 5 cans? Simple!
5/5 = 1
Put 1 yellow ball in each can.
So, each can will have:
2 green + 1 yellow (balls)
So, each can has 1 yellow ball
Answer:
x = 2
Step-by-step explanation:
Note that 25 = 5² , then
= 5²
Since the bases on both sides are 5 then equate the exponents
6 - 2x = 2 ( subtract 6 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
Answer:
Slope intercept formula= y=mx+b
Step-by-step explanation:
m is the slope of the line and b is the y intercept
in this case b=5
y=mx+5
now, to get to the next point, we find our slope. rise/run
we rise 4 and run 1
y+4/1x+b
Answer:
E=MC SQUARE²
Step-by-step explanation:
BECAUSE country's postal service will accept a package if its length plus its girth (the distance all the way around) does not exceed 78 inches. Find the dimensions (in inches) and volume (in cubic inches) of the largest package with a square base that can be mailed.
Answer:
k = - 2
Step-by-step explanation:
( 2x - y )²
Formula : -
( a - b )² = a² + b² - 2ab
Here,
a = 2x
b = y
( 2x - y )²
= ( 2x )² + y² - 2 ( 2x ) ( y )
= 4x² + y² - 4xy
So,
( 2x - y )² = 4x² + y² - 4xy
( 2x + y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = y
( 2x + y )²
= ( 2x )² + y² + 2 ( 2x ) ( y )
= 4x² + y² + 4xy
So,
( 2x + y )² = 4x² + y² + 4xy
( 2x - y )² - ( 2x + y )²
= 4x² + y² - 4xy - ( 4x² + y² + 4xy )
= 4x² + y² - 4xy - 4x² - y² - 4xy
= 4x² - 4x² + y² - y² - 4xy - 4xy
= 0 + 0 - 8xy
= - 8xy
( 2x - y )² - ( 2x + y )² = 4xyk
- 8xy = 4xyk
Divide 4xy on both sides,
- 8xy / 4xy = 4xyk / 4xy
- 2 = k
k = - 2
Therefore, the value of k is - 2.
