What is the constant of proportionality of 8:5?

Nina operates a dog walking service. She charges a flat fee of $15 plus $5 per hour. Which equation represents this linear relat

densk [106]

Equation for linear relationship is y=mx+b, where m is slope (rate of change), and b is y-intercept. Y-intercept is where you start of at. Like if I had 20 dollars and started earning 5 dollars each day, my y-intercept would be 20 dollars.

Your rate of change is $5 dollars PER HOUR, and y-intercept is $15 dollars. this is because it is a flat fee. She could walkyour dog for 5 minutes but she still charges 15 dollars.

y=5x+15

5 0

2 years ago

The following data was collected from 10 visitors to Disneyland. A researcher stood at the entrance gate and interviewed the fir

Ludmilka [50]

Answer:

The standard deviation for the sample of 10 families is 1.68 (Rounding to two decimal places)

Step-by-step explanation:

1. The first step to calculate the standard deviation is to find out the mean, this way:

Mean = (1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 7)/10

Mean = 27/10 = 2.7

2. Now we calculate the variance, this way:

Variance = [(1 - 2.7)²+(1 - 2.7)²+(2 - 2.7)²+(2- 2.7)²+(2 - 2.7)²+(2 - 2.7)²+(3- 2.7)²+(3 - 2.7)²+(4 - 2.7)²+(7- 2.7)²]/10

Variance = [2.89 + 2.89 + 0.49 + 0.49 + 0.49 + 0.49 + 0.09 + 0.09 + 1.69 + 18.49]/10

Variance = 28.1/10 = 2.81

3. Finally we calculate the standard deviation, this way:

Variance = Standard deviation²

√Variance = Standard deviation

√2.81 = Standard deviation

Standard deviation = 1.68 (Rounding to two decimal places)

6 0

3 years ago

the selling price of a television set is $125 more than twice the cost. find the cost if the selling price is $325.

OverLord2011 [107]

The cost is $100. Take $325, and subtract $125. It gives you $200. And you have to divide that in half cuz the price is twice the cost. So the cost is $100

(* I love getting brainliest! ;) *)

6 0

2 years ago

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Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar

Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

Flour = 4 cups

Sugar = 1 1/3 cups

Recipe for 36 cookies

48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

4*x = 3*4

4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

Sugar used in 36 cookies = y cups

Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

8 0

2 years ago

I have a test and only have an hour please hurry! 90 / 3* (9 +6)=?

Alex777 [14]

90/3=30 30*(15)=450 450 is your answer.

5 0

3 years ago

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