if there is 23 teachers how many students are there

Answer:

The value of x is equal to 4. See explanation below:

Step-by-step explanation:

2x+11=14x-37

    -11        -11             -Subtract 11 from both sides: 11-11=0 | -37-11=-48

2x=14x-48

-14x  -14x                  -Subtract -14x from both sides: 14x-14x=0 | 2x-14x=-12x

-12x=-48                   -Divide both sides by -12: -12/-12=0 | -48/-12=4

------  -----

-12    -12

x=4                             -X is equal to 4

Check:

2x+11=14x-37

Substitute x for 4:

2(4)+11=14(4)-37

Solve:

2*4=8

8+11=14(4)-37

8+11=19

19=14(4)-37

14*4=56

19=56-37

56-37=19

19=19

So x does in fact equal 4.

I hope this helped you.

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Answer:

y = 5x

Step-by-step explanation:

Assuming you require the proportional equation

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when y = 30, x = 6 , then

30 = 6k ( divide both sides by 6 )

5 = k

y = 5x ← equation of proportion

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

Answer:

C) (5, ∞)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

According to the graph, we have a horizontal asymptote at y = 5. Therefore, the graph never actually touches/reaches the y-value 5. Therefore, 5 is not included in our range:

(5, ∞) or y ≥ 5

Answer:

Step-by-step explanation:

If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.

The vertical distance between Kale and the mountain peak is  ft

The given parameters are:

Hike Distance = 2345 ft

Peak = 3283 ft

Let the vertical distance be x.

So, we have:

x + 2345 = 3283

Subtract 2345 from both sides

x = 938

Hence, the vertical distance between Kale and the mountain peak is  ft

Read more about difference at:

https://brainly.com/question/1601404

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Answer:

The amount of time Jill spent to do her homework  

= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is  

= 570 minutes x 1.5

= 855 minutes which equals to 14 1/4 hours

hope this helps

Answer:

Step-by-step explanation:

1) Time spent by Jack = Time spent by Jill * 1  1/2

                                [tex]= 9\frac{1}{2}*1\frac{1}{2}\\\\=\frac{19}{2}*\frac{3}{2}\\\\=\frac{19*3}{2*2}\\\\=\frac{57}{4}\\\\=14\frac{1}{4} hours[/tex]

2) Time spent by Jill = Time spent by Jack ÷  1 1 /2

                                 = 18 1/4 ÷ 1 1/2

                                 = 73/ 4 ÷ 3/2

                                 [tex]= \frac{73}{4} * \frac{2}{3}\\\\=\frac{73}{2}*\frac{1}{3}\\\\=\frac{73*1}{2*3}\\\\=\frac{73}{6}\\\\=12\frac{1}{6} hours[/tex]

3) Third number = Sum of three numbers - Sum of two numbers

Sum of two numbers = [tex]8\frac{2}{3}+8\frac{1}{6}\\[/tex]

                                   [tex]= \frac{26}{3} +\frac{49}{6}\\\\=\frac{26*2}{3*2}+\frac{49}{6}\\\\=\frac{52}{6}+\frac{49}{6}\\\\=\frac{52+49}{6}\\\\=\frac{101}{6}\\[/tex]

Third number = 22 8/15 - 101/6

                       [tex]= \frac{338}{15}- \frac{101}{6}\\\\= \frac{338*2}{15*2}- \frac{101*5}{6*5}\\\\= \frac{676}{30}- \frac{505}{30}\\\\= \frac{676-505}{30}\\\\= \frac{171}{30}\\\\=5 \frac{21}{30}\\\\= 5 \frac{7}{10}[/tex]

Answer: it costs 1/3 or 0.333... for one orange

X represents number of oranges

Y represents the cost

Answer:

Point Form:

(0,4)

Equation Form:

x=0,y=4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

4 or 5

Step-by-step explanation:

the answer is 55

because there's a . in 7.3

and 55 is the higher number.

Answer:

Step-by-step explanation:

Given p = x²+6

We are to express (x²+6)-21 = 4x²+24 in terms of p

We need to rewrite the expression first

(x²+6)²-21 = 4x²+24

Factor out 4 from the right hand side;

(x²+6)²-21 = 4(x²+6)

Replace x²+6 with p

p²+21 = 4p

Collect like terms

p²-4p = -21

p²-4p+21= 0

Hence the required equation is p²-4p+21= 0

Answer: p^2-4p-21=0

Step-by-step explanation:

Did it on Khan :D

Answer:

C

Step-by-step explanation:

First, since y is less than or equal to x+4, that shows that it must be either C or D, because both of those regions are below the line x+4.

Next, since y is more than or equal to -3/2x-1, this shows that C is the answer.

We can also check by seeing the graph when x = 0. Notice that y = 0 is in the region C, and notice that 0 satisfies the 2 inequalities, because -1≤0≤4.

Answer: First multiply 10 by 20.5 because x represents the number of weeks.  You get 205.  Next add 165.85 to that and you get 370.85 as your final answer.  

Step-by-step explanation:

Answer:

165.85 + 20.5x

or D

Answer:

See below

Step-by-step explanation:

1)

Once

[tex]-3\sqrt{8} = -6\sqrt{2}[/tex], it is an irrational number because [tex]\sqrt{2}[/tex] is irrational.

[tex]2\sqrt{3}-\sqrt{27} = 2\sqrt{3}-3\sqrt{3}=-\sqrt{3}[/tex], it is an irrational number because [tex]\sqrt{3}[/tex] is irrational

2) In order to compare those two fractions put them in the same denominator.

Once

[tex]\dfrac{4}{13} = \dfrac{40}{130}[/tex]

[tex]\dfrac{3}{10} = \dfrac{39}{130}[/tex]

So,

[tex]\dfrac{39}{13} > \dfrac{40}{130}[/tex]

This is because, when two fractions have the same denominator, the larger number between them is the fraction with the lowest numerator.

Both are rational numbers because both denominator and numerator are integers.

Answer:

y=3x+4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b

m = the slope

slope is rise over run or (y2-y1)/(x2-x1). We need to choose which y value is y2 and the corresponding x value is the x2. If -2 is y2, then:

x2 = -2

y1 = 1

x1 = -1

then plug in the values.

(-2-1)/(-2-(-1))

-3/-1 = 3

m =3

then plug in values for the first equation. you can use any point on the line.

y = 3x+b

4 = 3*0 +b

4=0+b

b = 4

then write it with out x or y

y = 3x+4

Answer:

mark brainlest and the answers are in the doc

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

To simplify each term by factoring:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Answer: 2350 milligrams of sodium are recommended for the whole day.

Step-by-step explanation:

Let x= Quantity of sodium are recommended for the whole day.

As per given, we have

20% of x = 470 milligrams

⇒ 0.20x = 470 milligrams  [20%=0.20]

[tex]\Rightarrow\ x=\dfrac{470}{0.20}[/tex]  [Divide both sides by 0.20]

[tex]\Rightarrow\ x= 2350[/tex]

Hence, 2350 milligrams of sodium are recommended for the whole day.

Answer:

</ is what I use for equal to or less than

4x </ 108 for the inequality

x </ 27

Step-by-step explanation:

Is that what you needed?

Equation:

4x=108

'x' being the number mentioned

Solved Equation: (isolate x)

4x/4=108/4

x=27

Plzz mark me brainliest, hope this helped.

Answer:

48

Step-by-step explanation:

I solved the problem step by step on paper and got it right

Answer:

23

Step-by-step explanation:

23

Answer:

-449.28

Step-by-step explanation:

I used a calculator

Answer:

[tex]-x^{3}+x^{2} +x-3[/tex]

Step-by-step explanation:

Remove Parentheses

Subtract  3x^3-4x^3

Leave x^2

Subtract 2x-x

Leave the 3

FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.

Let a = first side

Let b = second side

Let c = third side

NOW, we can turn the words into equations:

"a triangle has a perimeter of 165 cm."

a + b + c = 165

"the first side is 65cm less than twice the second side."

a = 2b - 65

"the third side is 10cm less than the second side."

c = b - 10

Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]

If we could get this to have only one variable, we could solve it. Substitution to the rescue!

a + b + c = 165 (rewrote equation from above)

(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)

See how that works? Let's solve it.

2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)

4b - 75 = 165 (combined like terms)

4b = 240 (added 75 to both sides)

b = 60 (divided both sides by 4)

We found the second side! We can find the first and third sides using those equations from above:

a = 2b - 65

a = 2*60 - 65

a = 120 - 65

a = 55

c = b - 10

c = 60 - 10

c = 50

All done.

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Step One - Define the Unknown Variable

First we need to define our unknown variable. For this case, I am going to use the letter 's' for the second side of the triangle (no actually because the question told you to). The reason I am using the second side as the unknown is because the second side is independent. The first and third sides' lengths depend on the length of the second side.

Step Two - Write an Equation

We need to use what we know to write the equation. First, we know that the perimeter of a polygon is the sum of the lengths of all the sides. The first side is 65 less than two times 's'. This would be 2s-65. The second side is just s. The third side is 10 less than 's'. So it would be s-10. The perimeter is all of the sides added up, so the expression for all the sides added up is                    (2s-65)+(s)+(s-10). The first, second, and third side added up is 165. So the equation for 1. is (2s-65)+(s)+(s-10) = 165.

Step Three - Solve the Equation

To solve the equation, you need to isolate the variable, which is 's'.

First, let's simplify the equation.

(2s-65)+(s)+(s-10) = 165.

4s-75 = 165.

Now we need to remove the 75. To get rid of the 75, you must add 75. But since you are adding 75 to one side of the equation, you must add 75 to the other side of the equation to make it equal.

4s-75+75 = 165+75

4s = 240

Now we need to remove the 4. To get rid of the 4, you have to divide each side by 4.

4s÷4 = 240÷4

s = 60

The length of the second side is 60 cm.

Step Four - Find the Lengths of all Sides

Now we know the length of the second side, we can find the length of the other sides.

The first side is 65 less than two times of 60.

Two times of 60 is 60×2 or 120.

65 less than 120 is 120-65 or 55.

The first side is 55 cm.

The third side is 10 less than 60.

10 less than 60 is 60-10 or 50.

The third side is 50.

So the lengths of the three sides are 55, 60, and 50.

Step Five - Check Your Answer

Now let's see if the three sides added up equals to 165.

Well, 55+60+50 does equal 165, so we know this is right.

The equation that represents the perimeter of the triangle is                      (2s + 65) + (s) + (s + 10) = 165. The length of each side of the triangle is 55, 60, and 50.

Answer:

This can vary. Are we doing 4 letter words, 5 letter, etc?

Step-by-step explanation:

Answer:

2.5=m

Step-by-step explanation:

20=3m+5m

combine like terms

20=8m

divide by 8 on both sides

2.5=m

Answer:

The formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Step-by-step explanation:

Given the sequence

[tex]8.7,\:8.4,\:8.1,\:7.8,\:7.5,...[/tex]

An arithmetic sequence has a constant difference d and is defined by:

[tex]\:a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]8.4-8.7=-0.3,\:\quad \:8.1-8.4=-0.3,\:\quad \:7.8-8.1=-0.3,\:\quad \:7.5-7.8=-0.3[/tex]

The difference between all adjacent terms is the same and equal to

[tex]d=-0.3[/tex]

The first element of the sequence is

[tex]a_1=8.7[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Therefore, the nth term is computed by:

[tex]a_n=-0.3\left(n-1\right)+8.7[/tex]            ∵ [tex]d=-0.3[/tex]

[tex]a_n=-0.3n+9[/tex]

Therefore, the formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Answer:

C. 5 Shirts for $21

Step-by-step explanation:

I conclude this when I calculate the amount of money needed for a singular shirt in every "bundle" by using division.

First I calculated how much you'd have to pay for one shirt in the six-pack collection fo shirts, and I resulted in $4.25 for each shirt. The problem in number form is: 25.50÷6=4.24. By dividing the total with six you result in the singular price of the individual price of each shirt in the pack.

As for the other packs, my calculations resulted in $4.50 for the 4 shirts pack and $4.20 for the 5shirts pack.

Answer:

Step-by-step explanation:

Answer:

X=50

Step-by-step explanation:

Since a line equals 180 ( even if it's bisected- meaning there is a line through it ) and you know one side is 113, you subtract 113 from 180 to find the other side ----> 180-113= 67. so now you know the small right angle in the triangle is 67°

Then since a triangle also always equals 180° and now you know that one angle is 63 and the other is 67, you just subtract those from 180 to find the third angle ( which is x) -----> 180-67-63=50

So x=50

Hopefully this wasn't too confusing...

Answer:

1

Step-by-step explanation:

The reciprocal of 1 equals 1

1/4×4=1

1-1=0

Answer:

The answer is 8

Step-by-step explanation:

Multiply, add and subtract the top

Answer:

d and b

Step-by-step explanation:

Answer:

Sophia is correct choose D

Step-by-step explanation:

it was correct for me