Answer:
y = 49
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 21 when x = 6 , then
21 = 6k ( divide both sides by 6 )
3.5 = k
y = 3.5x ← equation of variation
When x = 14 , then
y = 3.5 × 14 = 49
The solution would be (5, 6)
Answer:
- At least 10 hours
- No more than 7 feet
- At least $7.5
- More than 3 players
Step-by-step explanation:
1.
- 20x + 100 ≥ 300
- 20x ≥ 200
- x ≥ 200/20
- x ≥ 10
At least 10 hours
2.
- 2(8 + x) ≤ 30
- 8 + x ≤ 15
- x ≤ 15 - 8
- x ≤ 7 feet
No more than 7 feet
3.
- 8x + 20 ≥ 80
- 8x ≥ 60
- x ≥ 60/8
- x ≥ 7.5
At least $7.5
4.
- 3(p + 3) > 18
- p + 3 > 18/3
- p + 3 > 6
- p > 6 - 3
- p > 3
More than 3 players
Answer:
boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys
girls = 3 (eight grade) + 9 ( seventh grade) = 12
probability = 22÷ 2
= 1/11
<span>The trigonometric function cosecant is written as csc θ. For acute angles, csc θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = csc x is a periodic function with period 2π.</span>
