1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ad libitum [116K]
2 years ago
5

3/20 4x + 2(x - 6) = 12

Mathematics
1 answer:
Nat2105 [25]2 years ago
7 0

Answer:

4x+2(x-6)=12

4x {}^{2}  - 24 + 2x - 12 = 12 \\ 4x {}^{2}   - 36 + 2x = 12 \\ 4x {}^{2}  + 2x = 12 + 36 \\ 4x {}^{2}  + 2x = 48 \\ 4x { }^{2}  + 2x - 48 = 0

You might be interested in
the total cost of 4 pens and 7 mechanical pencials is 13.25 the cost of each penical is 75cent use the arithmetic to find the co
9966 [12]

Answer:

$2 per pen

Step-by-step explanation:

mechanical pencils: 5.25

all pens: 8

5.25+8= $13.25

:)

4 0
2 years ago
Jayden has been reading a 275275275-page book for English class. On average, he has read about 101010 pages in 151515 minutes (\
maxonik [38]
First let's define variables:
 r: reading
 s: skimming
 We write the system of equations that adapts to the problem:
 r + s = 275
 (15/10) r + (10/15) s = 355
 We solve the system of equations:
 r = 206
 s = 69
 Note: see attached image for system solution.
 Answer: 
 Jayden had to skim 69 pages through

8 0
3 years ago
Jesse drank 3/4 of liter of water Monday before going jogging. He drank 3/5 of a liter of water after his jog. How much water di
charle [14.2K]

Answer:

1\frac{7}{20}

Step-by-step explanation:

Step one

Given data

On  Monday, Jesse drank 3/4 of liter of water before jogging

and drank 3/5 of liter after jogging

In all, Jesse drank 3/4 and 3/5 liters of water

= 3/4+3/5

the lcm is 20

=15+12/20

=27/20

in mixed numbers(i.e a whole and a fraction together we have) we have

1\frac{7}{20}

8 0
2 years ago
What's the answer to this math question
fenix001 [56]
Im not exactly sure but i think:

r^2+6r+2
________
5r^2-5r-25

remember IM NOT SO SURE
7 0
2 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Other questions:
  • Find x so the distance between the points (x,2) and (-1,-2) is <img src="https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D" id="TexFormula
    13·1 answer
  • Find:<br> what is 3/7 of 49?
    9·1 answer
  • Find the equations for the asymptotes of the hyperbola.
    14·1 answer
  • If you travel at a rate of 45 miles per hour, how many minutes will it take you to travel 1 mile? Justify your response
    12·1 answer
  • FRACTIONS<br> Understanding equivalent fractions
    10·2 answers
  • What are 5 different types of expenses that could be considered deductions?
    10·1 answer
  • Whats 28*292 yo someone help
    6·1 answer
  • Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dr
    12·1 answer
  • PLZZZ HURRYYY ILL GIVE YOU BRAINIEST<br><br><br> What are the x-intercepts?
    5·1 answer
  • A company with 17 employees gives each employee a bonus of $459. How much does the company spend on bonuses?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!