Answer:
1. $8.
2. 48 counters.
Step-by-step explanation:
1. A pair of socks cost 20 - 2(6)
= $8.
2. let the number of counters in Box A and Box be be x.
Then the number of counters in Box B after the transfer is x + 1/2 x.
x + 1/2 x = 72
1.5 x = 72
x = 72 / 1.5
= 48.
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
Answer:
280.8
Step-by-step explanation:
Since 100% is the full amount, and it is 35% off you add 35 to the 100. So you get 1.35. You finally multiply by 207 and get 280.8
Answer:
1/9 probability
Step-by-step explanation:
The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9
Answer:
The rate of change = 3
Initial value = 2
Step-by-step explanation:
The linear function has the form ⇒ y = mx + c
Where m is the slope or the rate of change, and c is y-intercept.
Given: A linear function passes through the point (1,5)and (7,23)
So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3
So, y = 3x + c
By substitution with the point (1,5)
So, at x = 1 , y = 5
5 = 3*1 + c
c = 5 - 3 = 2
∴ y = 3x + 2
so, the rate of change = 3
And initial value = 2
initial value is the value at which x = 0 which is the y-intercept
