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Varvara68 [4.7K]
2 years ago
7

-X + 2y = 10 -3x+ 6y = 11

Mathematics
1 answer:
Tanzania [10]2 years ago
7 0

Answer:

1. y = 1 /2X +5

Step-by-step explanation:

2. m=1/2

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For every 9 minutes of music Shawn listens to, Greg listens to 4 minutes of music. How many times more minutes of music does Sha
Vaselesa [24]
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 division

Let'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.

\frac{9}{4} 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!
7 0
3 years ago
Read 2 more answers
Calculate the average rate of change of f(x) = x2 4 - 5 for 3 ≤ x ≤ 5. A) -2 B) - 4 3 C) 4 3 D) 2
mario62 [17]

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.

6 0
3 years ago
Identify the equation of the same line in standard form
Stells [14]

Answer:

#1

Step-by-step explanation:


3 0
3 years ago
Which of the following is a property of all rectangles?​
Sliva [168]

Answer:

All angles are right angles. The diagonals are congruent. And it's a parallelogram

Step-by-step explanation:

6 0
2 years ago
the length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide sidewalk. The side
SVETLANKA909090 [29]
<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>
</span>
7 0
2 years ago
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