Answer:
g =6/5 g=-5/2
Step-by-step explanation:
(5g − 6)(2g + 5) = 0
Using the zero product property
(5g − 6) =0 (2g + 5) = 0
5g-6+6 =0+6 2g+5-5=0-5
5g =6 2g =-5
5g/5 = 6/5 2g/2 =-5/2
g =6/5 g=-5/2
Answer:
Step-by-step explanation:
DE=DG
8s-97=3s-22
5s-97=-22
5s=75
s=15
Answer:
tan(θ) = 0, 0.577, -0.577
Step-by-step explanation:
3tan³(θ) - tan(θ) = 0
tan(θ)(3tan²(θ) - 1) = 0
tan(θ) = 0
tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)
tan(θ) = 0, sqrt(⅓), -sqrt(⅓)
tan(θ) = 0, 0.577, -0.577
To find θ values, domain is required
Answer:
7.5 L of 10% solution and 22.5 L of 30% solution
Step-by-step explanation:
Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.
x + y = 30
Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.
0.10 x + 0.30 y = 30 × 0.25
0.10 x + 0.30 y = 7.5
Solve the system of equations, using either substitution or elimination. I'll use substitution:
x = 30 − y
0.10 (30 − y) + 0.30 y = 7.5
3 − 0.10 y + 0.30 y = 7.5
0.20 y = 4.5
y = 22.5
x = 30 − y
x = 7.5
Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.
Answer:
$2,660
Step-by-step explanation:
9.5% of 1300 is 123.5
So to figure out what the rent would cost in 11 years, we just have to multiply 123.5 by 11.
123.5 × 11 = 1358.5
We can then add that number to 1300.
1358.5 + 1300 = $2658.5
Then we round.
Your final answer would be:
$2,660
