Hello.
The mathematical concept of this problem is basic once you get down to it. The question asks, "How many
times more minutes does Shawn listen to than Greg?"
Remember the "How many" rules:
· "How many more" suggests
subtraction· "How many times" suggests
divisionLet's also take a look at our opening sentence: "For every 9 minutes of music Shawn listens to, Greg listens to 4 minutes of music." This means we can set it up as a fraction, as we have the phrase "For every" in our sentence. So, let's do that.

is our fraction;
To simplify, we need to divide our numerator (the number on the top) by our denominator (the number on the bottom).
9 / 4 = 2.5
This is our rate, or how many
times more music Shawn listens to than Greg.
Your answer is: "Shawn listens to 2.5 times more music than Greg."
I hope this helps!
Answer:
D)2
Step-by-step explanation:
ƒ(x) = x²/4 - 5; 3 ≤ x ≤ 5
Calculate the values of f(3) and f(5)
f(3) = 3²/4 - 5 = 9/4 - 5 = -2.75
f(5) = 5²/4 - 6 = 25/4 - 5 = 1.25
Calculate the average rate of change
Rate of change = (y₂ - y₁)/(x₂-x₁) = [1.25 -(-2.75)]/(5 - 3) = 4.00/2
= 2.00
The average rate of change is 2.00.
In the figure below, the red curve represents the function ƒ(x), while the black dashed line represents the average rate of change over the interval (3, 5).
The value of ƒ(x) increases by two units for every unit that x increases.
Answer:
#1
Step-by-step explanation:
Answer:
All angles are right angles. The diagonals are congruent. And it's a parallelogram
Step-by-step explanation:
<span>he width is 5 feet and the length 10 feet
Let the width of the garden = W
Therefore the length = W + 5
The two sidewalks alongside the length are therefore W + 5 feet long by 2 feet wide = 2(W + 5) square feet each
The 2 sidewalks alongside the width = W feet long by 2 feet wide = 2W square feet each
In addition there are the 4 corners which are each 2 feet by 2 feet = 4 square feet each
Area of sidewalk is therefore
2 * lengths = 2 * 2(W + 5) = 4W + 20
2 * widths = 2 * 2W = 4W
4 corners = 4 * 4 = 16 square feet
But we are told that the area = 76 square feet
Therefore 4W + 20 + 4W + 16 = 76
8W + 36 = 76
8W = 40
W = 5
Therefore as the width is five feet the length is 5 + 5 = 10 feet</span><span>
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