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snow_lady [41]
3 years ago
11

8.EE.5

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

1.) slope=2

2.) slope=-3

3.) slope=\frac{1}{4}

4.) slope=-\frac{4}{5}

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope

However, with certain graphs, the slope can be found in a simpler manner.

  • You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
  • Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each \frac{y}{x}
  • When you move up, the number will be positive (\frac{+y}{x}). If you move down, the number will be negative (\frac{-y}{x}).
  • If you move to the right, the number will be positive (\frac{y}{+x}). If you move to the left, the number will be negative (\frac{y}{-x}).
You might be interested in
Please help me ASAP!!!
vlada-n [284]

Answer:

a) 6 1/4% of $3,875 is $242.18.

b) 16 2/3% of 96 lamps is 16 lamps.

c) 87 1/2% of 540.72 is 473.11

d) 33 1/3% of 750 boys is 252.52 boys

e) 66 1/2 % of 240 kg is 159.6 kg.

Step-by-step explanation:

x% of y is calculated as \frac{x}{ 100} \times y

Here calculating the given percentages:

a) 6 1/4% of $3,875

Now, 6 1/4 = 6+ 1/4 = 6.25

⇒6.25% of $3,875  = \frac{6.25}{100}  \times 3,875 = 242.18

Hence, 6 1/4% of $3,875 is $242.18.

b) 16 2/3% of 96 lamps

Now, 16 2/3 = 16+ 2/3 = 16.67

⇒16.67% of 96 lamps  = \frac{16.67}{100}  \times 96 = 16

Hence, 16 2/3% of 96 lamps is 16 lamps.

c) 87 1/2% of 540.72

Now, 87 1/2 = 87+ 1/2 = 87.5

⇒87.5 % of 540.72  = \frac{87.5}{100}  \times 540.72 = 473.11

Hence, 87 1/2% of 540.72 is 473.11

d) 33 1/3% of 750 boys

Now, 33 1/3 = 33+ 1/3 = 33.67

⇒33.67 % of 750 boys   = \frac{33.67}{100}  \times 750 = 252.52

Hence, 33 1/3% of 750 boys is 252.52 boys

e) 66 1/2 % of 240 kg

Now, 66 1/2 = 66+ 1/2 = 66.50

⇒66 1/2 % of 240 kg   = \frac{66.50}{100}  \times 240 kg = 159.6

Hence, 66 1/2 % of 240 kg is 159.6 kg.

4 0
4 years ago
Find f(x) if it is known that f(x−2)=2−x.
Sedaia [141]

Answer:

f(x)=-x

Step-by-step explanation:

7 0
3 years ago
Three ladders measure 5 3/4 meters, and 7 1/4 meters in length. What is the difference between the longest and shortest lengths?
Dovator [93]
7 1/4 - 5 3/4= 1 1/2 because you can either 1) change it into decimals: 7.25-5.75 and do simple subtraction or... 2) u can change the 7 to a 6 and add 4 to the numerator of 1/4 making the equation 6 5/4 - 5 3/4 = 1 2/4 which simplified to 1 1/2 I hope I didn’t confuse you! :))
3 0
3 years ago
The ages of a sample of fans at a rock concert are listed. 24, 27, 19, 21, 18, 23, 21, 20, 19, 33, 30, 29, 21, 18, 24, 26, 38, 1
Rudik [331]

Answer:

1. {18, 18 , 19 , 19 , 19 , 20 , 21 , 21 , 21 , 21 , 23 , 24 , 24 , 26 , 27 , 27 , 29 , 30 , 30 , 30 , 33 , 33, 34 , 35 , 38 }

2a) md= 24 b) Q1=20.5 c) Q3= 30 3) Q3-Q1 =9.5 b) 19/48

Step-by-step explanation:

To answer this question the 1st and the 2nd we need to order the data entries. So from ordering from the lowest to the highest value:

1. {18, 18 , 19 , 19 , 19 , 20 , 21 , 21 , 21 , 21 , 23 , 24 , 24 , 26 , 27 , 27 , 29 , 30 , 30 , 30 , 33 , 33, 34 , 35 , 38 }

2. There are 25 entries.

{18, 18 , 19 , 19 , 19 , 20 , 21 , 21 , 21 , 21 , 23 , 24 , 24 , 26 , 27 , 27 , 29 , 30 , 30 , 30 , 33 , 33, 34 , 35 , 38 }

In odd quantities of observations, the Median equally separates it two parts.

md=24

b) To find out the 1st quartile, we can use this way:

Q_{1}=\frac{i}{4}(n+1)\\ Q_{1}=\frac{1}{4}(25+1)\\ Q_{1}=\frac{1}{4}(26)=6.5

Then 6.5 is between the 6th and 7th position. Let's find the mean of them, now:  

Q_1=\frac{20+21}{2}= 20.5

c) Similarly toThe Third Quartile or Upper Quartile

Q_{3}=\frac{i}{4}(n+1)\\ Q_{3}=\frac{3}{4}(25+1)\\ Q_{1}=\frac{3}{4}(26)=19.5

The 19th position and 20th position average is:\frac{30+30}{2} =30

3)

a) To find the Interquartile Range, we just need to find out the difference of the upper quartile and the lower one:[tex](Q_3-Q_1)Q_3-Q_1[/tex]

(30-20.5)=9.5

b) Interquartile Ratio is given by the quotient of the Interquartile Range over the Median

\frac{IQR}{md}=\frac{9.5}{24}=\frac{19}{48}

4) Since the  Relative  frequency Histogram asked is a one with 7 classes. Let's calculate how many  values.

k=1+3.32logn

7=1+3.32logn

6=3.32logn

n≈66

Each class must have an interval of 10 ages, for (91-18)/7≈ 10. Notice the orange line intercepts the midpoint of each interval.

4 0
4 years ago
The answer to the problem i asked
guapka [62]
8(4x+5)=136
Multiply the number outside of the parenthesis(8) with the numbers inside the parenthesis(4x and 5).
32x+40=136
Subtract 40 from both sides
32x=96
Divide both sides by 32 so the only thing remaining on the side of the variable is only the variable itself.
Final Answer: x= 3
8 0
3 years ago
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