Answer:
Step-by-step explanation:
19 - you would divide number of beads by beads per bracelet to get number of bracelets
blue = 258/6 = 43
silver = 428/9 = 47.56, round down because we're looking at complete bracelets = 47
rose = 102/3 = 34
white = 258/7 =36.86, round down again = 36
20 - they can make 43 + 47 + 34 + 36 = 160 bracelets before they run out, and they will run out of rose first since it has the smallest number of bracelets
21 - multiply num of beads by num of bracelets for each color and add them up
blue = 6 * 7 = 42
silver = 9 * 7 = 63
rose = 3 * 7 = 21
white = 7 * 7 = 49
42 + 63 + 21 + 49 = 175
f(x) = 2(x+8)
replace f(x) with 12 and then solve for x:
12 = 2(x +8)
Use the distributive Property on the right side:
12 = 2x +16
Subtract 16 from each side:
-4 - 2x
Divide both sides by 2:
x = -4 / 2
x = -2
You can check whether this is true using Pythagoras' Theorem. The Pythagorean Theorem:
a² + b² = c², where c is the hypotenuse of a right triangle.
Let's plug in the given values and check the validity of the statement.
a² + b² = c²
7² + 9² = 11²
49 + 81 = 121
130 = 121
This is false. Thus,
Answer:
False - a triangle with side lengths 7, 9, and 11 is not a right triangle.
Answer:
five and seventy-seven hundredths
