T=3m-n divided by 5 solve for m

Answers

Answer 1

Answer: T = (3m - n)/5

5 * T = (3m - n)/5 * 5

5T = 3m - n

n + 5T = 3m - n + n

n + 5T = 3m

(n + 5T)/3 = (3m)/3

(n + 5T)/3 = m

Answer: m = (n+5T)/3
Hope that helped =)

Answer 2

Answer: 3m= 35
/3
m=35/3

I hope this is correct

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Campus Rentals rents 2- and 3-bedroom apartments for $700 and $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?

Answers

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X^2-5x-8=0 find the roots (zeros)

Answers

Answer:

$x_1=(5-√(57))/(2)\ ,\quad x_2=(5+√(57))/(2)$

Step-by-step explanation:

$x^2-5x-8=0\n\na=1\,,\ b=-5\,,\ c=-8\n\nx=(-b\pm√(b^2-4ac))/(2a)\n\nx=(-(-5)\pm√((-5)^2-4\cdot1\cdot(-8)))/(2\cdot1)=(5\pm√(25+32))/(2)=(5\pm√(57))/(2)$

Solve the equation
40=5(d - 2)

-2(x - 9)= -24

Answers

40=5d-10
first, you have to multiply 5 by D and-2 and then , you will get 40=5d-10
then you will combine like terms, like 40+10=5d
then you will get 50=5d and you divide 50 by 5 to get D only, and finally, you will get D=10.
the final answer is D=10

second question,
all you have to do is multiply-2 by x and -9
and then you get -2x+18=-24
then, you have to combine like terms like I did on the first one, which is -2x= -24-18 and then, you will get -2x=-42 and you have to divide 2 by -42 which is x=21
the final answer is x=21.

I am pre sure that it helped you. text me on messages on brainy if you have any questions that you want to ask me.

40 = 5(d - 2)
Then distribute the 5.
40 = 5d - 10
Add ten to both sides.
40 + 10 = 5d - 10 + 10
50 = 5d
Then divide 5 by both sides.
50/5 = 5d/5
Answer.
d = 10

~

Next equation.
-2(x - 9) = -24
Distribute the -2.
-2x + 18 = -24
Subtract 18 from both sides.
-2x + 18 - 18 = -24 - 18
-2x = -42
Then divide -2 by both sides.
-2x/-2 = -42/-2
Answer.
x = 21

2. How many solutions does this system have? 2x + y = 3, 6x = 9 – 3yA) 1
B) None
C) Infinite
D) 2

Answers

Answer:

The system of equation has infinite solution.

C is correct.

Step-by-step explanation:

We are given system of equation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3----------------- (1)

Multiply equation 1 by 3

3(2x)+3y = 3(3)

6x+3y=9

Subtract new equation from 2nd equation

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

Hence, The system of equation has infinite solution.

2x + y = 3
6x = 9 - 3y
↓
2x + y = 3
6x + 3y = 9

3(2x + y = 3)
3(2x) + 3(y) = 3(3)
6x + 3y = 9

There is an infinite number of solutions in the system (the answer is C).

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet. 1, 1, 4
2, 2, 21
2, 6, 7
3, 4, 7

Please help? If somebody can help put this into an equation for me, I can do the rest. Thanks

Answers

Answer:

The dimensions of the box are

$2,6,7$

Step-by-step explanation:

we know that

The volume of a box in the shape of a cube is equal to

$V=W*L*H$

where

W is the width of the box

L is the length of the box

H is the height of the box

In this problem we have

$V=84\ ft^(3)$

$W=x\ ft$

$L=x+1\ ft$

$H=x-4\ ft$

Substitute the values in the formula of volume

$84=x*(x+1)*(x-4)$

$84=(x^(2)+x)*(x-4)\n84=x^(3) -4x^(2)+x^(2)-4x\n84=x^(3)-3x^(2)-4x\nx^(3)-3x^(2)-4x-84=0$

Using a graphing tool

Solve the cubic function

see the attached figure

The value of x is equal to

$x=6\ ft$

the dimensions of the box are

$W=x\ ft=6\ ft$

$L=x+1\ ft=6+1=7\ ft$

$H=x-4\ ft=6-4=2\ ft$

84ft^3= (x-1)•x-4(x)

Maybe, then you would need to solve get the solution of x and plug it in for the demensions, hope this helps! (Not exactly positive that is my is correct but believe it is at least close!)

Which two numbers add up to ___ and multiply to ___?1. multiply to -18 add to -17
2. multiply to 36 add to -13
3. multiply to -24 add to -5
4. multiply to -18 add to 7
5. multiply to -36 add to 9
6. multiply to 24 add to 10
7. multiply to 18 add to -9
8. multiply to -36 add to -16

I need help ASAP!

Answers

Ok so let's start :)

Ok so first one, numbers need to add to $-17$ AND multiply to $-18$
First of all you need to check the signs which stands near to those numbers. As you see there is $(-)$ next to both of them, it means that ONLY one number needs to be with $(-)$ sign. Why? There is short "instruction" which you need to remember:

$(-)*(-)=(+)$
$(-)*(+)=(-)$

If there are to signs next to each other, you can "change" them using "rules" below ;P

$(-)+(-)=(+)$
$(-)+(+)=(-)$

So it is possible to add two numbers with $(-)$ sign next to them which would be equal to $-17$ (for example $-5+(-12)$ but it is impossible to find two numbers which have $(-)$ sign next to them which will give you also negative number after multiplication :)

Ok it's enough theory for now, it should be much easier now :D

1. So you can multiply $1*-18$ which is $-18$
Also $-18+1$ which is $-17$

Rules above should help you to understand what I did below :) In case of any questions you can help me anytime :)

It's quite simple :)

1. $\ \boxed{-18\ AND\ 1}\ because\ -18+1=-17\ AND\ (-18)*1=-18$

2. $\ \boxed{-9\ AND\ -4}\ because\ -9+(-4)=-13\ AND\ (-9)*(-4)=36$

3. $\ \boxed{-8\ AND\ 3}\ because\ -8+3=-5\ AND\ (-8)*3=-24$

4. $\ \boxed{9\ AND\ -2}\ because\ 9+(-2)=7\ AND\ 9*(-2)=-18$

5. $\ \boxed{12\ AND\ -3}\ because\ 12+(-3)=9\ AND\ 12*(-3)=-36$

6. $\ \boxed{6\ AND\ 4}\ because\ 6+4=-10\ AND\ 6*4=24$

7. $\ \boxed{-6\ AND\ -3}\ because\ -6+(-3)=18\ AND\ (-6)*(-3)=18$

8. $\ \boxed{-18\ AND\ 2}\ because\ -18+2=-16\ AND\ -18*2=-36$

It's quite simple :)
1. $-18\ \&\ 1$ because $-18+1=-17$ AND $(-18)*1=-18$
2. $-9\ \&\ -4$ because $-9+(-4)=-13$ AND $(-9)*(-4)=36$
3. $-8\ \&\ 3$ because $-8+3=-5$ AND $(-8)*3=-24$
4. $9\ \&\ -2$ because $9+(-2)=7$ AND $9*(-2)=-18$
5. $12\ \&\ -3$ because $12+(-3)=9$ AND $12*(-3)=-36$
6. $6\ \&\ 4$ because $6+4=-10$ AND $6*4=24$
7. $-6\ \&\ -3$ because $-6+(-3)=18$ AND $(-6)*(-3)=18$
8. $-18\ \&\ 2$ because $-18+2=-16$ AND $-18*2=-36$

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