Answer:
One month of gameplay costs $15
Step-by-step explanation:
Angie: 20 + 3x
Kenny: 20 + 2x
(20 + 3x) + (20 + 2x) = 115 --- add their costs together
(20 + 20) + (3x + 2x) = 115 --- collect like terms
40 + 5x = 115 --- simplify
5x = 75 --- subtract 40 from both sides
x = 15 --- divide both sides by 5
There's no need to get into an ethical morass over math homework.
111.
M is 20% less than N means
M is 100-20=80% of N
M=0.80 N
M/N = 0.8 = 4/5
Ratio: 4/5
112.
When we know <em>a, </em>the average, and <em>n, </em>how many numbers there are, we know the sum <em>s</em>, because <em>a=s/n </em>so <em>s=na.</em>
So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6
Answer: 3.6
113.
|2p + 4 | < 3
At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when
2p +4 = -3
2p = -7
p = -7/2 = -3 1/2
So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.
Answer: -3
114.
The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:
Answer: .5 or 1/2
3y=6+x
y=(6+x)/3
y=2+x/3
y=mx+b
y=x/3+b
so m(slope) is 1/3
use the point (3, 5), sub this for x and y
5=3/3+b
5-1=b
b=4
therefore, y=x/3+4
or y=(1/3)x+4 (you can write it like this as well)
By definition, the formula for finding the area of a trapezoid is
A = [(b1 + b2) x h] / 2
Where,
b1: Base 1
b2: Base 2
h: height, or distance between bases.
Substituting we have:
A = ((5 + 4) * (2.5)) / 2
A = 11.25 feet ^ 2
Answer:
the area of the seat is:
A = 11.25 feet ^ 2
Based on the vertex form equation, the statements that are true are:
A.) the drone reaches its minimum 25 miles from the launch site
C.) at its minimum, the drone’s depth is -180 meters.
<h3>Rewriting the equation in vertex form</h3>
Given:
x = horizontal distance, in miles, from the launch site
d(x)= depth below the surface of the water, in meters.
Equation= 0.4x ²- 20x + 70
Hence
Rewritten the given equation ( 0.4x ²- 20x + 70) in vertex form will be:
Vertex form: d(x)=[2(x-25)²÷5] -180
Vertex= -180, 25
Minimum=-180 at x=25
Therefore the correct option is A, C.
Learn more about vertex form here:brainly.com/question/17987697
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