School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x represent teachers and y represents students, which system of linear inequalities can be used to determine the possible number of teachers and students at the school?
2y ≥ 25x and y ≥ 245
2y ≤ 25x and y ≥ 245
25y ≤ 2x and y ≥ 245
25y ≥ 2x and y ≥ 245

Answers

Answer 1

Answer:

  (b)  2y ≤ 25x and y ≥ 245

Step-by-step explanation:

You want the teacher/student ratio to be at least 2/25, so ...

  x/y ≥ 2/25

  25x ≥ 2y . . . . . multiply by 25y

  2y ≤ 25x . . . . . swap sides to get the form used in answer choice B

The other inequality says the number of students is at least 245:

  y ≥ 245

Answer 2

Answer:

B- 2y ≤ 25x and y ≥ 245

Step-by-step explanation:

Peep the attachment (proof)

School Rules Permit No Fewer Than 2 Teachers Per 25 Students. There Are At Least 245 Students Enrolled

Related Questions

pls help me wich one is it ​

Answers

Answer:

B

Step-by-step explanation:

to compare the rate of change we must fine the slope:

A. Slope= -9

B. Slope= 3/2

C. Slope= -5

Which point will going to be in y=-4+6

Answers

Answer: (-4,22)

I got this by solving the equation on a graph.

When solving 8,411 ÷ 52, you decide to start by subtracting 100 groups of 52. What is the remainder?

Answers

Answer:

I think that the remainder would be 39. I am not 100% sure however.

Step-by-step explanation:

I started by doing 8411-5200 because 100 groups of 52 is 5200. I got 3211 and then divided that by 52. I got 62 r 39. Hope this helps!!

Answer: remainder : 39

Step-by-step explanation:

What is the missing reason in the proof?

Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD

A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle.



definition of angle bisector
segment addition property
definition of congruent angles
transitive property

Answers

Answer:

ABC and ABD are congruent

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

7) Staples charges $28 for 8 boxes of pencils and $47 for 4 pencil sharpeners. Ms. Felix orders 70 boxes of pencils and 21 pencil sharpeners from Staples. How much does Ms. Felix spend on her order?​

Answers

Answer:

Ms. Felix would spend $491.75 on her order.

Step-by-step explanation:

First, let's identify the components of this word problem that we'll need to solve it. We know that Staples charges $28 for 8 boxes of pencils, and $47 for 4 pencil sharpeners. Before we do anything else, we'll find the unit price of  the pencils and pencil sharpeners to make it easier for us. Let's begin with the boxes of pencils. 28 ÷ 8 = $3.50 per box of pencils. As for the pencil sharpeners, 47 ÷ 4 = $11.75 per sharpener. Now that we know the basic costs, let's use them to solve our problem at hand. We'll multiply the number of items ordered by the base cost of the item.

Boxes Of Pencils:

70 × $3.50= $245.00

Sharpeners:

21 × $11.75= $246.75

Now that we know the cost of the two seperate items Ms. Felix ordered, let's add them to get our final answer.

$245 + $246.75 = $491.75

Our final answer would be $491.75.

Given the function y = 3 ( 0.60 )^x what is the rate of growth/decay?

Answers

Answer:

60%

Step-by-step explanation:

0.60*100 = 60

60%

Please help me with these two questions

Answers

Answer:

1. -3   2. -2

Step-by-step explanation:

what the answer to this equation?
9n - 14 =5n + 58

Answers

9n-14=5n+58

9n-5n=58+14

4n=72 / 4

n=18

Hello! (:

9n-14=5n+58

Move all the variables to the left, using the opposite operation:

9n-5n=58+14

9n-5n=72

4n=72

Divide both sides by 4 to isolate n:

n=18

Hope it helps!

~An excited gal

#StayJoyful

[tex]SparklingFlower (:[/tex]

The growth of a bacteria population is modeled by the equation p(h) = 1,000(0.4h)
How long does it take for the population to reach 1,000,000? Explain or show how you know.

Answers

Answer:

you have to multiply then divide the o.4h

Step-by-step explanation:

The amount of time that is taken for the population to reach 1,000,000 will be 17.27.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The growth of a bacteria population is modeled by the equation given below.

[tex]\rm p(h) = 1,000 \times e^{(0.4h)}[/tex]

Then we have

Then the amount of time which is taken for the population to reach 1,000,000 will be

[tex]\rm 1,000,000 = 1,000 \times e^{(0.4h)}\\\\1000 = e^{0.4h}[/tex]

Taking log on both sides, then we have

ln 1000 = 0.4 x h x ln e

    6.91 = 0.4 x h

         h = 17.27

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Solve the simultaneous equations
5x + 6y = 37
2x + 3y = 4

Answers

Answer:

(29, -18)

Step-by-step explanation:

Comment if you need an explanation! I Hope This Helps!

HELP ME PLEASE I NEED HELP

Answers

Answer:

hope this helps ¯\_(ツ)_/¯

Step-by-step explanation:

y=3x+1

brainliest is appreciated

^‿^

Right away you can see that when x=0, y=1.

0 is easy to plug into the equations that are your answer choices. Just by checking this, you see the answer is y=3x+1

You can also verify this by plugging in the other x values and seeing if the y value matches up (you can see that for every y, x increases by 3, thus the 3x in the equation)

Solve the inequality below:
2(4x - 3) < 5x - 27

Answers

Answer:

x < (-7)

Step-by-step explanation:

[tex]2(4x - 3) < 5x - 27 \\ 8x - 6 < 5x - 27 \\ 8x - 5x < 6 - 27 \\ 3x < - 21 \\ x < \frac{ - 21}{3} \\ x < ( - 7) \\ [/tex]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<−7

Interval Notation:

(−∞,−7)

Use Math-way.

The distance a wheel moves forward varies directly with the number of rotations. Suppose
the wheel moves 56 ft in 8 rotations. What distance
does the wheel move in 20 rotations?

Answers

Answer:

46

Step-by-step explanation:

irdk

140 feet travel in 20 rotations.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The wheel moves 56 ft in 8 rotations.

Now, in 1 minute the wheel travel

= 56/8

= 7

Now, in 20 rotation the wheel travels

=20 x 7

= 140 feet

Hence, 140 feet travel in 20 rotations.

Learn more about unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Help me pls because my teacher says I must finish it

Answers

Answer:

for the first equation you will place a point at (0, 3)

you will then go "up 1 and over 1" and place another point (this is your slope) continue doing this until you have formed a line. you may also go "left 1 down 1" to go the opposite direction, creating a negative slope & straight line.

for the second equation you will place a point at (0, -3)

you will then go "up 1 and over 2" and place another point. repeat this a few times. then you will go to (0, -3) and go "left 1 down 2" and create the negative slope effect. this will give you a straight line.

Someone help pls!! Find the value of x

Answers

Answer:

Step-by-step explanation:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Impulse Calculator: Equivalent Fractions Calc...

Area Under the Curve Calculator: Multiplying ...

Volume of A Cylinder Calculator: F Distribution ...

Density Calculator: Probability Density Function ...

The ratio of students to teachers at a school is 15:1 if there are 49 teachers how many students are there

Answers

Answer:

735 students

Step-by-step explanation:

create a proportion of students to teachers

let 's' = # of students

[tex]\frac{15}{1}[/tex] = [tex]\frac{s}{49}[/tex]

cross-multiply to get:

s = 735

Find the unit rate.



2 specialty pizzas for $38.50 = $_______________ p

Answers

Answer:

Step-by-step explanation:

to find this all you need to do is divide the total price by the number of units you have. in this case 38.50 / 2 = 19.25 per pizza

Hello there! :)

If 2 pizzas cost 38.50 dollars, then we have to dibvide by 2 to find out the price of one pizza.

$19.25

Therefore, our final answer is: 19.25

Hope this helps!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

Select all ratios equivalent to 12:6.

1: 16.8

2: 10:5

3: 48:24

Answers

Answer:

1, 2, and 3 are all equivalent to 12:6.

Step-by-step explanation:

12:6 = 2:1

16:8 = 2:1

10:5 = 2:1

48:24 = 2:1

They are all equivalent.

ABC has coordinates A(3,-5) B(7, 1) and C(3, 1). Classify the triangle based
on its side lengths and angle measures. Select all that apply.
A) Acute
B) Right
C) Obtuse
D) Equilateral
E) Isosceles
F) Scalene

Answers

Answer:

B

Step-by-step explanation:

The right triangle is the one have an angle measuring 90°

I hope I've helped you.

I hope you've undertood this phrase.

Factor the trinomial, or state that the trinomial is prime,
y2 - 5y + 6

Answers

Answer:

Im doing this for the points lol

Sorry

Answer:

factorise it

Step-by-step explanation:

in the method  ax2 + bx + c

so it can be done just in y

find a common factor

well there isn't one but we can see that we need to factorise it

+1 y2  times  6= 6

because there is only 1 y and you times it by 6

you'll see why when we factorise this

so x the squared number (1) x 6 =6

and the middle number is 5

find two numbers that

x multiply to make six

and add+  to make -5

those numbers are

-3

-2

because -2 + -3 = -5        and -2 x -3 = positive 6

so our answer of y2 + 5y + 6

 is identical to = y2 -3y -2y +6

factorise in half

y2 -3y                   -2y +6

so now we can factorise!

in this bracket we have

a common factor of y                                  in this bracket we have common                                                

                                                                        factor of 2

= y (y -3)                             +                         =    -2(y-3)

BUT THERE IS STILL ONE MORE

THEN WE CAN SEE A COMMON FACTOR OF Y-3

put the  (y-3)  in front and the  (-y-2) is left

put y from first bracket and -2 from second bracket into a seperate bracket

yay! factorised

BUT THERE IS STILL ONE MORE

ANSWER =  (Y-2) (Y-3)

you can use the rainbow multiplying out of bracket method to prove it works.

PLZ GIVE BRAINLIEST

how it would be written out:

y2 + 5y + 6

y2 -3y -2y +6

y2 -3y       -2y +6

y (y -3)       -2(y-3)

(Y-2) (Y-3)

ANSWER ASAP NO FILES OR LINKS (LAST ONE) (maybe)

Answers

Answer: the anserw shokd be no fles

Step-by-step explanation:

What is three eights written in 2 different ways

Answers

3/8
.375
Hope this helps :)

Answer:

0.375 And 3/8

Step-by-step explanation:

What equation represents the relationship between X and Y shown in the table below

Answers

Answer: B

Explanation: B has-235 which is in the above list of y

Answer:

C

Step-by-step explanation:

Hello Jasmine. So let's try out all of the functions starting from the first one.

For A, assuming value of x = 3. (176*3)-59 = 469, so it is incorrect.

For B, assuming value of x =3. (-59*3)-235= -412, so it is incorrect.

For C, assuming value of x=3. (-59*3)-176= -353 (which is the corresponding value of y in the table.)

Which means the correct answer is C, if you need further help please let me know.

Which of the following functions has the roots of -1 and 2? * a. f(x) = x² – x – 2 b. f(x) = x² + x – 4 c. f(x) = x² + x + 2 d. f(x) = x² – x + 5​

Answers

Answer:

a

Step-by-step explanation:

yeah-ya............ right?

If one leg of a right triangle has a length of 7 and the hypotenuse has a length of 12, what is the length of the other leg?
A
19
B
V193
с
195
D5

Answers

Answer:

sqrt(95)

Step-by-step explanation:

c^2 = a^2 +  b^2

12^2 = 7^2 + b^2

144 = 49 + b^2

95 = b^2

sqrt(95) = b

Help on all of them please thank you!​

Answers

Answer:

a(1.) 48\100=12\50-6th test

2.42\100=21\50

b.no she did not do better on the 6th test

ow do you find the radius of a circle using the circumference?

Answers

Answer:

Step-by-step explanation:

Circumference / 2 times the radius (diameter) = pi

Circumference / pi = diameter (diameter / 2 = radius)

Estimate the volume of the following geometric figure below


Answer it properly if not you will be reported​

Answers

Step-by-step explanation:

Volume of cuboid = Length x breadth x height

= 5 x 3 x 4

= 60m^3

Volume of cylinder = πr^2h

= 22/7 x 2^2x5

= 63.36m^3

Mark me as brainliest

Answer:

1)60m³  2) 15.7m³

Step-by-step explanation:

1) 5 ×3 ×4= 60m³

2) pi × 1²×5= 15.7 m³

Jade got a 90% on her math quiz. She had 36 questions correct. How many questions did Jade get wrong?

Answers

Answer:

4 questions

Step-by-step explanation:

90% is the same as multiplying a number by 0.9. Let's say the number of questions on the quiz is x. This means the amount she got right was 0.9x. We are given this is 36, so we can set them equal and simplify:

0.9x = 36

x = 40

She must have gotten 40 - 36, or 4 questions wrong.

how do i turn 2 18/60 into a decimal? Also maybe try explaining it u dont have to put im having a kinda hard time turning fractions into decimals

Answers

Answer:

Step-by-step explanation:

just go to demos scientific calculator, you shall see a button of decimal and theres your answer

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