There is an unknown number of people at the beginning of lunch. Then...

Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

Answer:

B

Step-by-step explanation:

✔️Rate of change using two points on the line, say (2, 60) and (3, 75);

Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1

Rate of change = 15

This means each class costs $15

✔️Initial value is the y-intercept (b). It represents the initial start-up fee.

To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

Therefore, initial start-up fee is $30.

9514 1404 393

Answer:

  40 : 110

Step-by-step explanation:

There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...

  150/15 = 10

Then the division is ...

  4 : 11 = 10·4 : 10·11 = 40 : 110

_____

Alternate solution

Let x represent the larger share. Then the ratio is ...

  (150 -x) : x = 4 : 11

Cross-multiplying gives ...

  11(150 -x) = 4x

  1650 = 15x . . . . . add 11x, simplify

  110 = x . . . . . . . . . divide by 15; the larger share

  150-x = 150-110 = 40 . . . . . . the smaller share

The division is 40 : 110.

your answer is k=10 the step by step is kn the picture

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

[tex]P(x)=-x^2+1280x-3300[/tex]

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

[tex]R(x)=1300x-x^2[/tex]

And the cost function is:

[tex]C(x)=3300+20x[/tex]

Then the total profit function will be:

[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]

And the maximum profit will be:

[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]

Answer:

Step-by-step explanation:

Your answer

Ok, lets do it systematically.

2005– 100 rabbits

3.4 % per year increasement.

So every year it increase 0.034 *100 = 3.4 per year

Total 2025-2005= 20 years

So expression is : 0.034*100*year(20)

Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168

Mark it as Brainlist answer. Follow me.

Answer:

C

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 24

Simply multiply all of the fractions with the total number of marbles

48(2/3)(3/4)

Answer:

3 : 1

Step-by-step explanation:

120-90=30

90 mangoes

30 apples

90 : 30 divide both by 10

9 : 3 divide both by 3

3 : 1

9514 1404 393

Answer:

  7x +8y = 32

Step-by-step explanation:

Clear fractions and add the opposite of the x-term.

  y = -7x/8 +4

  8y = -7x +32 . . . . . multiply by 8

  7x +8y = 32 . . . . . .add 7x

Answer:

A. (2, -1)

Step-by-step explanation:

(4x - 9) - x = -3

3x - 9 = - 3

3x = 6

x = 2

y = 4(2) - 9

y = 8 -9

y = - 1

(2, -1)

Check

-1 - 2 = -3

Answer:

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Step-by-step explanation:

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

Answer:

polynomial have 7 side...

It all started when my mom met my dad...

You'll know the rest

Answer:

"flow" (and any subsequent words) was ignored because we limit queries to 32 words.

It looks like there aren't many great matches for your search

Tip Try using words

Answer:

yes 2 is the answer yes yes yes yes

Answer:

y=2, x=3

Step-by-step explanation:

We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3

Answer:

there are 3 1/6 pieces

Step-by-step explanation:

since 3 x 1/6=3/6.

another explanation:

(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.

Answer:-2 because the y intercept is when the x axis is zero

Step-by-step explanation:

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

64 x 6 = X

384 = X

Thus, the area of the cube is 384 square meters.

Answer:

[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]

Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

[tex]f(t) = 1 - cos\ t * cos\ t[/tex]

[tex]f(t) = 1 - cos^2\ t[/tex]

In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

So, we have:

[tex]f(t) = sin^2\ t[/tex]

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

Answer:

Step-by-step explanation:

9/10 + 5/6 = 16/20

Answer:

Step-by-step explanation:

Answer:

$1.65

Step-by-step explanation:

1.25 x 4 = 5.00

18.20 - 5.00 = 13.20

13.20 / 8 = 1.65

they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8

Answer:

2 m.....that's it

try it

Answer:

yes

yes

no

yes

Step-by-step explanation: