Let b be the number of blue beads and g the number of green beads that Giovanni can use for a belt.
He's supposed to use a total of between 70 and 74 beads, so
70 ≤ b + g ≤ 74
The ratio of green beads to blue beads is g/b, and this ratio has to be between 1.4 and 1.6, so
1.4 ≤ g/b ≤ 1.6
For completeness, Giovanni must use at least one of either bead color, so it sort of goes without saying that this system must also include the conditions
b ≥ 0
g ≥ 0
(These conditions "go without saying" because they are implied by the others. g/b is a positive number, so either both b and g are positive, or they're both negative. But they must both be positive, because otherwise b + g would be negative. I would argue for including them, though.)
11 / 26 = 42% This answer is certainly correct for your percentage.
Answer:
1
Step-by-step explanation:
Factorise numerators/ denominators where possible
3x² - 4x + 1 = (x - 1)(3x - 1)
x² - 1 ← is a difference of squares and factors as
x² - 1 = (x - 1)(x + 1)
Expressing the product in factored form
× 
Cancel common factors on numerator/denominator, that is
Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1
Answer:
He transferred 2 6/7 songs in 1 2/3 minutes.
Answer:
m∠STU = 20 °
Step-by-step explanation:
Since the line bisects the angle, we have that the two bisected angles are equal
Thus, mathematically;
x + 2 = x/4 + 8
Multiply through by 4
4x + 8 = x + 32
4x-x = 32-8
3x = 24
x = 24/3
x = 8
So to find the value of the original angle, we input 8 into each of the bisected angles and add together
mathematically, that will be ;
10 + 10 = 20
