One way to find the least common multiple of two numbers is to first list the prime factors of each number.
8 = 2 x 2 x 2
Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
2: three occurrences
3: one occurrence
So, our LCM should be
2 x 2 x 2 x 3 = 24.
So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.
Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1
Answer:
y=-8/5x+4
Step-by-step explanation:
The slope of perpendicular lines is the opposite reciprocal of the original equation.
To get the opposite reciprocal, flip the fraction and use the opposite sign.
Here, the slope is -8/5 because that is the opposite of 5/8.
To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.
Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.
y+4=-8/5(x-5)
Multiply (x-5) by -8/5 and simplify.
y+4=-8/5x+8
y=-8/5x+4
Answer:
125
Step-by-step explanation:
we have
x*.28= 35
we divide both sides by .28 and get
x= 125
and 28% of 125 = 35
Hope it helps !
Answer:
3(4n+2)is equivalent to6(2n+1)