A. The greatest number of friends who can receive a necklace made from a combination of 72 blue and 42 red beads is <u>6</u>.
B. Each friend will receive a necklace with <u>12 blue beads</u> and <u>7 red beads</u>.
<h3>How is this determined?</h3>
The solution to this problem can be determined by considering the highest common factors of 72 and 42.
The common factors of 72 and 42 are 2 and 3.
The factors of 72 are 2, 3, and 12.
The factors of 42 are 2, 3, and 7.
2 x 3 = 6
When 6 divides 72 = 12
When 6 divides 42 = 7
<h3>Data and Calculations:</h3>
Number of blue beads = 72
Number of red beads = 42
The highest number that can divide 72 and 42 without a remainder is 6.
Thus, each friend's necklace will contain <u>19 beads</u> (12 blue beads and 7 red beads).
Learn more about common factors at brainly.com/question/219464
#SPJ1
3(x^2 - 7x) < 0
divide both sides by 3
x^2 - 7x <0
factor
(x)(x - 7) < 0
consider all possible cases. in order for the product of two quantities to be negative, one must be negative and the other must be positive
case 1:
x < 0 but x - 7 is not < 0
this case is impossible (if x is negative, then x - 7 is also negative)
case 2:
x - 7 < 0 but x is not < 0
x must be less than 7 but greater than 0
therefore 0 < x < 7
Answer:
-1/2x + 4.5
Step-by-step explanation:
Find out the slope by substituting the values in the formulas.
y2 - y1 / x2 - x1 6 - 2 / -3 - 5
-1/2
Now find the y-intercept.
y = mx + b
6 = -1/2 (-3) + b
6 = 3/2 + b
9/2 = b
This is direct variation. If you move the x to the other side of the equation, it will become:
y = x
Direct variation is when y is equal to x times a constant. In this example, y is equal to 1 * x.
Answer:
-p-23
Step-by-step explanation:
-8p-12+7p-11
-8p+7p-12-11 (Combine liketerms)
-p-23