Hey!
so for the first one its 60°, and for the second one its 1/6
Answer:
The correct answer is b) 1100 adults and 1400 students.
Step-by-step explanation:
To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.
First start by creating an equation for money made.
5x + 10y = 18,000
Now write an equation for the amount that attend.
x + y = 2,500
Now multiply the bottom equation by -5 and add the equations together.
-5x - 5y = -12,500
5x + 10y = 18,000
5y = 5,500
y = 1,100
Since this is the number of adults, we can plug into an original equation to find the number of students.
x + y = 2,500
x + 1,100 = 2,500
x = 1,400
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + 3
Answer:
≈ 660.5 in²
Step-by-step explanation:
The surface area (A) of a sphere is calculated using the formula
A = 4πr² ← r is the radius
Given diameter = 14. 5 then radius = 7.25, thus
A = 4π × 7.25² = 4π × 52.5625 ≈ 660.5 in²
Step 1: Subtract 13 from both sides.
<span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=<span>13−13</span></span><span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=0</span>
Step 2: Use quadratic formula with a=1, b=6, c=-13.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(6)</span></span>±<span>√<span><span><span>(6)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−13</span>)</span></span></span></span></span><span>2<span>(1)
</span></span></span></span><span>x=<span><span><span>−6</span>±<span>√88</span></span>2
</span></span><span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√22
</span></span></span>Answer would be
<span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√<span>22</span></span></span></span>