A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?

Answer:

21

Step-by-step explanation:

we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3

from the triangle angle sum theorem, we know that 4x+6 = 90

solving, we get 4x=84, x=21

Answer:

isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).

so we have 180 degrees = 90 + (2x+3) + (2x+3)

so x = 21

Answer:

outlier

Step-by-step explanation:

it is way to far away to be any of those other options. that means it is an outlier.

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

Answer:

C. (I think)

Step-by-step explanation:

So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.

Answer:

answer is d

by using rise over run you get 3/6 which is then simplified into 1/2

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

Answer:

i think its 105

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 20

y = 70

Step-by-step explanation:

Solve for x:

5x - 20 = 3x + 20

2x - 20 = 20

2x = 40

x = 20°

Solve for y:

x + y = 90°;

(20) + y = 90°

y = 90 - 20

y = 70°

Hope this helps!

Answer:

4x  + 2y  ≤  25   ,      x + y ≥  8     is the required system of inequalities to represent the given situation.

Step-by-step explanation:

Here, let  the number of color copies =  x

Now, the time taken to print each color copy = 4 minutes

⇒Time taken to print x color copies = x times ( Time taken by each copy)

= 4 (x)   = 4x

and let  the number gray scale copies =  y

The time taken to print each gray scale copy = 2 minutes

⇒Time taken to print y gray scale copy = y times (Time taken by each copy)

= 2 (y)   = 2y

Total copies printed = x + y

Maximum time taken to print x  color copies and y grayscale copies

= 4x  + 2y

So, according to the question:

4x  + 2y  ≤  25 ( as maximum allotted time is 25 minutes)

and x + y ≥  8      (as minimum number of copies is 8)

hence, the above system is the required system of inequalities to represent the given situation.

I hope this helps.

Answer:

  $169.33

Step-by-step explanation:

Each of the friends spent ...

  $14.95 +6.99 +2.25 = $24.19

The seven friends together spent ...

  7($24.19) = $169.33

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

Answer:

c 31b4

Step-by-step explanation:

[a] A dime is worth 10 cents (0.10 dollars) and a nickel is worth 5 cents (0.05 dollars). If there are 30 coins in all, we can set up a linear equation in standard form to look like this:

    30 - n = d

Since the total is 2.9, we can do the following:

    { 30 - n = d

    { .05n + .10d = 2.90

And our system is in bold

(where n is nickels and d is dimes, you could also use x and y if you wish)

[b] She could have counted the number of dimes and nickles correctly, but she did not. The number of nickles is 2 with there being 28 dimes.

Now, we will solve:

.05n + .10(30 - n) = 2.90

.05n + 3 - .1n = 2.9

3 - .05n = 2.9

3 = .05n + 2.90

.05n = 0.1

n = 2

(dimes is 30 - 2 = 28)

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

60% adult

40% children

Reasoning:

Add the adults and children first.

Then find the ratios of the children and parent percentages.

16:40 children

24:40 adult

16/40=2/5=0.4=40% children

24/40=3/5=0.6=60% adult

Answer:

40% is children and 60% in adults

Step-by-step explanation:

so if you add the two you have 40, 100% of 40 is 40 and 50% is 20, so we know that the children percent is less than 50, if you go through you will find that 40% of 40 is 16 therefor leaving the rest (aka 60%) to be adults

Answer:

[tex]f^{-1}[/tex] (x) = 6 - 4x

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )

4y = - x + 6 ( subtract 6 from both sides )

4y - 6 = - x ( multiply through by - 1 )

- 4y + 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 6 - 4x

Answer:

Below

Step-by-step explanation:

To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b

We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.

Hoped this helped.

Step-by-step explanation:

Since,

[tex]60\%25 = 15[/tex]

Another equation that equals 15 is

[tex]25 \times 0.6 = 15[/tex]

Answer:

-2

Step-by-step explanation:

the formula for finding slope using points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). using this with the points (0,3) and (1,1) gets us (1-3)/(1-0) = -2/1 = -2. so the slope is -2

Answer:

-2

Step-by-step explanation:

The slope of a line is defined as the difference in y, divided by the difference in x. [tex]m= \frac{\Delta y}{\Delta x} =\frac{3-1}{0-1} = \frac2{-1} = -2[/tex]

Answer:

$350 - $180 = $170

$180 = T

$170 = F

T = Tatiana

F = Family

Step-by-step explanation:

Answer:

Equation to express how much Tatiana spent on her family

= $(350-180)

Answer:

Step-by-step explanation:

total # of families=15

families that own 0 cars=2

families that own 1 cars=5

families that own 2cars=4

families that own 3 cars=3

families that own 4 cars=1

so 2+5+4+3+1=15

total# of families/ sum of cars = 15/15=1

Answer:

R

Step-by-step explanation:

E is congruent to R because of angle stuff

Answer:

11

Step-by-step explanation:

You would need to -3 on both sides to get:

-11x = -121.

To find x on it's own you would have to divide by -11 on both sides.

You would get a result of x = 11.

Hope this helps :)

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{5}{8} +\frac{5}{8}=\frac{10}{8}= 1 \frac{2}{8}= 1\frac{1}{4}[/tex]

five eighths plus five eighths equals ten eighths simplified to one and two eighths and simplified again to one and one fourth.

Answer:

First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.

Step-by-step explanation:

Answer:

is 2

Step-by-step explanation:

is 2 why yes

Answer: C

Step-by-step explanation:

The answer is C

The graph C. represents the polynomial with zeros of -3, 0 and 2.

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.

Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.

Learn more about zeros of a polynomial here

https://brainly.com/question/10702726

#SPJ2

Answer:

21.900 - 21.9

Step-by-step explanation:

if your rounding it its 21.900 or 21.9