1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vlada-n [284]
2 years ago
11

This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of

proportionality?
1/25
1/20
1/15
1/10

Mathematics
2 answers:
alisha [4.7K]2 years ago
8 0
(60,4)(120,8)
slope = (8 - 4) / (120 - 60) = 4/60 = 1/15 <== the constant of proportionality is the slope
Ilya [14]2 years ago
4 0

Answer:

The correct option is 3.

Step-by-step explanation:

Form the given figure it is noticed that the line is passing through the points (60,4) and (120,8).

y\propto x

y=kx

Where, k is the constant of proportionality or slope.

The slope of a line is defined as

k=\frac{y_2-y_1}{x_2-x_1}

k=\frac{8-4}{120-60}

k=\frac{4}{60}

k=\frac{1}{15}

Therefore option 3 is correct.

You might be interested in
The standard length of a
harina [27]

Answer: 7.48 in

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do I do step by step
kiruha [24]

Answer:

1.1

Step-by-step explanation:

Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1

6 0
1 year ago
Plz help<br> and explain
vovikov84 [41]
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
=x^2+20x+100-x^2
=20x+100   or 20(x+5)  if you wish.

8 0
3 years ago
You have 20 bucks in your pocket.
diamong [38]

Answer:

the answer would be $45.55

<3

Step-by-step explanation:

20$ + $50.00 = $70

$70 - $6.95 = $64.5

$64.5 - $9.95 = $54.55

$54.55 - $20 = $34.55

$34.55 + $15 = $49.55

$49.55 - $4 = $45.55

5 0
2 years ago
The sum of the diagonals of a rhombus is 5√2.
Alex
Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC
= \frac{1}{2} BD (AO + OC)
\frac{1}{2} BD \times AC

So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}
BD \times AC = 8
Now, AC + \: BD = 5 \sqrt{2}

Squaring both sides, we get
AC {}^{2} + BD {}^{2} + 2 AC.BD =50
AC {}^{2} + BD {}^{2} + 2 \times 8 = 50
AC {}^{2} + BD {}^{2} = 50 - 16
AC {}^{2} + BD {}^{2} = 34

In △AOB, we have
OA {}^{2} + OB {}^{2} =AB {}^{2}
( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}
\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}
AC {}^{2} + BD {}^{2} = 4 AB {}^{2}
34 = 4 AB {}^{2}

Square rooting both sides
\sqrt{34} = 2 AB
Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units.

Hope it helps!

7 0
3 years ago
Other questions:
  • 21 quarters out of 186 quarters simplest form
    5·2 answers
  • lisa has 1/3 of an hour to read and watch television. she wants to split her time equally between two activities. how much time
    13·1 answer
  • Find the area of a parallelogram with bass 15 yards and height 21 2/3yards
    14·1 answer
  • 3.1 × 10^-4 in standard form
    5·1 answer
  • Explain 2 3\4 divided by 1\8
    10·2 answers
  • This means that √31 is between
    15·2 answers
  • A 4-L water filter is used to fill 200 mL cups and three 750 mL drink bottles How much water is left in the water filter
    6·1 answer
  • Which linear inequality is represented by the graph?
    14·1 answer
  • Which graph represents the compound inequality?<br> n&lt;-2 or n24
    15·1 answer
  • Find the greatest common divisor (GCD) for 33/51 then simplify the fraction. What is the GCD of the number and the denominator o
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!