An arts academy requires there to be 6 teachers for every 108 students and 3 tutors for every 36 students. students How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 84 students?

Answer:

-4

Step-by-step explanation:

Start with 3(2x + 8) = 0.

Distribute the 3 to the 2x and 8 in the parentheses.

That will give you 6x + 24 = 0.

Subtract 24 from both sides, which will get x by itself and leave you with 6x = -24.

Divide both sides by 6 to get x = -4.

That is your answer.

Hope this helped.

Answer:

[tex]4 - 2y = -2x [/tex]

subtract the 4 from one side

[tex] - 2y = - 2x - 4[/tex]

divide the -2 from the y and the-2x and 4

[tex]y = - x + 2[/tex]

-y + 6 = x

subtract the 6 and add -6 after the x

[tex] - y = x - 6[/tex]

6x - y - 3 = 0

add the y so it cancels out

y = 6x - 3

3y + 15x = -15

subtract the 15x

3y = -15x - 15

divide the 3

y = -5x -5

Given :

To Do :-

Solution :-

Given that ,

Distributive property of Multiplication over addition ,

So that ,

Step-by-step explanation:

As it says, multiply 45x to all the terms. This is required to get rid of fractions.

See the steps below:

Answer:

18

Step-by-step explanation:

first solve substitute the givens, then solve (-2)² = 4

it will be √4+12 = √16 + |14|

√16=4.....and when you take out 14 from the absolute value it will remain the same soooooo

4+14=18

Answer:

sorry i dont understand

Step-by-step explanation:

will figure out...

Answer:

Justin worked 25 hours and 45 minutes.

25 3/4 hours total

First add the hours together.  

12 + 13 = 25

Then add the minutes together.  

4 + 41 = 45

So 25 hours and 45 minutes

or

25 3/4 hours

45 minutes is also 3/4 of an hour

Answer:

There are two solutions for x;

x = 0

x = [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

x = 0 or -3/2

Step-by-step explanation:

( 2 x +  3 ) ^2  −  6 x −  9  =  0 ---> distribute

4x^2 + 6x + 6x + 9 - 6x - 9 = 0 --> add the 9's together

4x^2 + 12x  - 6x = 0 --> combine like terms

4x^2 + 6x = 0 --> common factor

2(2x^2 + 3x) = 0 --> divide by 2 on both sides

2x^2 + 3x = 0

then you should use the quadratic formula (can't add here or the explanation would take too long)

Answer

For any two consecutive odd numbers, the difference is 2. For example, 3 and 5 are two consecutive odd numbers, their difference = 5 - 3 = 2. For any two consecutive even numbers, the difference is 2. For example, 6 and 8 are two consecutive even numbers, their difference = 8 - 6 = 2.

Answer:

9600 words in an hour.

Step-by-step explanation:

There are sixty minutes in an hour.

60/6=10

multiply 960 by 10

960*10=9600

The secretary can type 9600 words in 1 hour.

Answer:

3.08

Step-by-step explanation:

because 144 is a squre root of 12

Answer:

You will need 32 ounces

Step-by-step explanation:

2 pounds x 16 = 32 ounces

300 cal / 3 oz = x / 32 oz

(300 * 32) / 3 = 3,200 calories

Answer:

[tex]A = 336[/tex] [tex]m^{2}[/tex]

Step-by-step explanation:

Using the formulas

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\frac{a+b+c}{2}[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \sqrt{-a^{4}+2(ab)^{2} +2(ac)^{2} -b^{4} +2(bc)^{2}-c^{4} }[/tex]

[tex]=\frac{1}{4} *\sqrt{-42^{4} +2*(42*34)^{2}+2*(42*20)^{2} -34^{4} +2*(34*20)^{2} -20^{4} }[/tex]

[tex]=336m^{2}[/tex]

Answer:

✌ just because that what the answer is I just know it cuz im right

Answer:

Option 1

Step-by-step explanation:

Answer:

16g + 12

Step-by-step explanation:

6(3g + 2) - 2g

18g + 12 - 2g

16g + 12

Answer: A: 3x + 6 = 4x + 7                  1: 9x = 4x + 7

B: 3(x+6) = 4x + 7                  2: 3x + 18 = 4x + 7

C: 4x + 3x = 7 - 6                   3: 3x = 4x + 7

                                            4: 3x - 1 = 4x

                                            5: 7x = 1

Step-by-step explanation:

Answer:

look at the photo I have sent

you wearing a mask right now???

Answer:

5 ≤ 12 - m

5 ≤ 12 - 8

5 ≤ 4

Therefore, it is false statement

Step-by-step explanation:

If you than please mark me brainliest thanks

The given statement is false.

The given statement is 5 ≤ 12 - m, if m = 8.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, replacing m by 8 in the given inequality, we get

5 ≤ 4

Therefore, the given statement is false.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ2

Answer:

7 43/100

Step-by-step explanation:

4*1 6/7=4 24/7 which equals 7.43, or 7 43/100

Answer:

7 3/7

Step-by-step explanation:

4 * 1 6/7

1 = 7/7, so 1 6/7 = 7/7 + 6/7 = 13/7

4 * 13/7 = 52/7

7 can fit into 52 at most 7 times (because 7*7 is 49, and less than 52)

This leaves us with 3 left over

4 * 1 6/7 = 7 3/7

Answer:61,493

Step-by-step explanation:

I just used a calculator

Answer:

B

Step-by-step explanation:

go download symbolab and enter the quenstion it wil give you many help!

Answer:

×=-2

Step-by-step explanation:

4×+8=0

4x= -8

therefore;

x= -2

Answer:

bro use gauth mathhhhhhh

Answer:

pretty sure it's 65

Step-by-step explanation:

They're usually congruent for these type of angles. Also, y would be 50

Answer:

x = 50°

Step-by-step explanation:

y = 65° because the base angles of an isosceles triangle are equal

x = 50° because angles in a triangle add up 180°

Answer:

C) -6

Step-by-step explanation:

-6 + 2 = -4 not -12.

But -6 + (-6) = -12.

Hope this is what you were looking for :)

Answer:

6543÷29

=225.620.......