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aivan3 [116]
3 years ago
9

What is the constant of proportionality? *

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer:

9

Step-by-step explanation:

1. The formula to find constant of proportionality is k = y/x, where y = y-coordinate and x = x-coordinate.

2. Let's take the coordinate (1,9) and plug their values into that formula to get the constant of proportionality.

  • k = \frac{(9)}{(1)}
  • k = 9

Therefore, the constant of proportionality is 9.

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Translate to an equation and solve the following: The quotient k and 22 is −66.
Phoenix [80]

Answer:k/22 =-66

k=-1,452

Step-by-step explanation:

6 0
3 years ago
150 students were surveyed on how many text messages to send in a date for different devices. let X represent the number of stud
kakasveta [241]

Given that the total number of students that sent messages = 150 students

a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.

\begin{gathered} 75+x+3x+x=150 \\ x+3x+x=150-75 \\ 5x=75 \end{gathered}

Hence, the equation is

5x=75

b) Solving for x

\begin{gathered} 5x=75 \\ x=\frac{75}{5}=15 \\ \therefore x=15 \end{gathered}

Therefore, x = 15.

c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students

The total number of students that sent messages = 150students

The formula for probability is,

\text{Probability = }\frac{\text{Number of students that uses cell phone}}{\text{Total number of students}}

Hence,

P(\text{Number of students that uses cell phone)}=\frac{90}{150}=\frac{3}{5}

Therefore, the probability that a randomly chosen student uses their cell phone to send text messages ​is 3/5.

7 0
1 year ago
What is the slope of (7,9.5) (2,7)
tensa zangetsu [6.8K]

Answer: m=0.5

Step-by-step explanation:

Let's find the slope between your two points.

(7,9.5);(2,7)

(x1,y1)=(7,9.5)

(x2,y2)=(2,7)

Use the slope formula:

m=Let's find the slope between your two points.

(7,9.5);(2,7)

(x1,y1)=(7,9.5)

(x2,y2)=(2,7)

Use the slope formula:

y2−y1/y2−y1

7−9.5/2-7

2.5/-5  m=0.5

8 0
3 years ago
Read 2 more answers
Mara has a shipping crate in the shape of a rectangular prism with inside dimensions of 2 feet by 3 feet by 4 feet. Mara will pa
Vladimir [108]
1. Multiply the length, width, and height to get the volume of the box, which is 24 ft³. 2. Each cube has a volume of 4, right? So divide 24 by 4 to get 6. 6 boxes can fit into the crate.
4 0
3 years ago
In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual lengt
VashaNatasha [74]

Answer: 2in

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The correct scale on the blueprint is : 1/4 inch represents 3 feet.

So, the proportion is: 1/4 inch/ 3 feet = (1/4) /3

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So:

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Solving for x (inches)

[(1/4)/3 ] (24) =x

x =2 inches

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
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