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
Brut [27]
3 years ago
9

Hurry I need the answers plz and how u got it

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

\frac{Teachers}{Population} and we can use this to express both of our values. So, for Ohio, we have \frac{122,100}{11,600,000} and for Illinois we have \frac{x}{12,900,900}. Now, because they are proportional, we can set them equal to each other and we get \frac{122,100}{11,600,00} = \frac{x}{12,900,000}. Now we can cross multiply to get $11,600,000x=1446090000000$ . To get the $x$ alone on one side, we divide by$11,600,000$ and we get 124,662.931034, which is about equal to 124,663.

Therefore, we expect Illinois to have 124,663 public school teachers

You might be interested in
The product of a rational number
kati45 [8]

Answer:

I think it's true. hope this helps!!

6 0
3 years ago
What is the diameter and circumference of 6.7
irinina [24]

3.572

Area of a circle in terms of radius:

Area = π · r2 = 3.14 · 1.072 = 3.57 square meters.

In terms of diameter:

Area = π · (d

2

)2 = 3.14 · (2.13

2

)2 = 3.14 · (1.07)2 = 3.57 square meters.

In terms of circumference:

Area = C2

4π

= 6.72

4π

= 44.89

(4 · 3.14)

= 44.89

12.56

= 3.57 square meters.

Note: for simplicity, some results may be rounded to nearest hundredth and π was rounded to 3.14. See formula details below in this page.

A circle of radius = 1.066 or diameter = 2.133 or circunference = 6.7 meters has an area of 3.572 square meters which is equal to:

3.572E-6 square kilometers (km²)

35720 square centimeters (cm²)

0.0008827 acres (ac)

0.0003572 hectares (ha)

1.379E-6 square miles (mi²)

4.272 square yards (yd²)

38.45 square feet (ft²)

5537 square inches (in²)

Formulae:

Circle area formula

8 0
3 years ago
Read 2 more answers
Which choice is equivalent to the expression below?
kodGreya [7K]
Answer: C. (-1/6)^5

Hope this helped!! Have a nice day :))
6 0
3 years ago
Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hi
natta225 [31]
Parameterize the part of the paraboloid within the cylinder - I'll call it S - by

\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\left\langle u\cos v,u\sin v,3u^2\right\rangle

with 0\le u\le2 and 0\le v\le2\pi. The region's area is given by the surface integral

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv
=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du\,\mathrm dv
=\displaystyle2\pi\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du

Take w=1+36u^2 so that \mathrm dw=72u\,\mathrm du, and the integral becomes

=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw
=\displaystyle\frac\pi{36}\frac23w^{3/2}\bigg|_{w=1}^{w=145}
=\dfrac\pi{54}(145^{3/2}-1)\approx101.522
7 0
3 years ago
The table shows the race results of the men's college 400-meter hurdles. 400 M Hurdles Runner Time (seconds) Jumarcus 50.51 Keyu
GalinKa [24]

Answer:

Keyunta and Elijah

Step-by-step explanation:

Keyunta: 49.78, Elijah: 50.02

|Keyunta(time)-Elijah(time)| = 50.02-49.78 = 0.24

5 0
3 years ago
Other questions:
  • What is the LCD of these fractions and why 3/5 and 3/4​
    15·2 answers
  • Which fraction does not belong with the other three explain 1/12 2/12 3/12 or 4/12
    12·1 answer
  • What is 10a - 5b if a = 25 and b = 3​
    11·2 answers
  • PLEASEEEE HELPPPPP MEEEEEE!!!!<br> Find h in the diagrams below.
    15·1 answer
  • What is 40% of 80?
    7·2 answers
  • Help pls helpppp me plssssssssssss
    7·1 answer
  • What is a polynomial expression?
    8·1 answer
  • Using the quadratic formula to solve x2 = 5 – X, what are the values of X?
    8·1 answer
  • Help me please asap<br>​
    10·2 answers
  • Sandy surveyed band students to determine the music for the school dance. Many students were unhappy with the selection. What mi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!