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
olga nikolaevna [1]
3 years ago
14

Daniel is printing out copies of a presentation. It takes 3 minutes to print a color copy and 1 minute to print a black-and-whit

e copy. He needs to print at least 6 copies and must have the copies completed in no more than 12 minutes.
If the solution region represents the number of color copies and black-and-white copies that Daniel can print, determine which graph represents the solution set to the system of inequalities representing this situation.

Mathematics
1 answer:
Effectus [21]3 years ago
6 0
Work the information to set inequalities that represent each condition or restriction.

2) Name the variables. 

c: number of color copies
b: number of black-and-white copies

3) Model each restriction:

i) <span>It takes 3 minutes to print a color copy and 1 minute to print a black-and-white copy.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He needs to print at least 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) And must have the copies completed in no more than 12 minutes ⇒</span>

3c + b ≤ 12
<span />

4) Additional restrictions are c ≥ 0, and b ≥ 0 (i.e. only positive values for the number of each kind of copies are acceptable)

5) This is how you graph that:

i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.

ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.

iii) since c ≥ 0 and b ≥ 0, the region is in the first quadrant.

iv) The final region is the intersection of the above mentioned shaded regions.

v) You can see such graph in the attached figure.

You might be interested in
Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?
salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

<h2>ATQ</h2>

{:}\longrightarrow\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}

{:}\longrightarrow\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}

{:}\longrightarrow\sf 8 (3x)=5×3

{:}\longrightarrow\sf 24x=15

{:}\longrightarrow\sf x={\dfrac{24}{15}}

{:}\longrightarrow\sf x=1.6

\therefore Nichol runs 1.6miles .

4 0
3 years ago
Can anyone help me with this problem by factoring and list the steps please
jok3333 [9.3K]

Answer:

m=2, m=0

-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈

20m^2-40m=0

<u>Use quadratic formula:-</u>

᠃ ⚘᠂ ⚘ ˚ ⚘ ᠂ ⚘ ᠃

m_1,_2=\frac{-(-40) -+\sqrt{x} (-40)^2-4*20*0}{2*20}

\sqrt{(-40)^2-4*20*0}=40

m_1,_2=\frac{-(-40)-,+40}{2*20}

m_1=\frac{-(-40)+40}{2*20},m_1=\frac{-(-40)-40}{2*20}

m=\frac{-(-40)+40}{2*20}:2

m=\frac{-(-40)-40}{2*20}:0

m=2, m=0

˱   ┈  ┈  ┈  ┈   ˲

hope it helps...

have a great day!!

6 0
3 years ago
Please help me! Whoever gets the correct answer and explains it will get marked Brainliest!!
Helen [10]

1. The answer is 0.425

2. the answer is 0.425

3. the answer is 0.2125

8 0
3 years ago
What is 2 wholes minus 1/4
bonufazy [111]
2-1/4
2/1=8/4       Multiply top and bottom by 4
8/4-1/4
7/4
1 3/4
3 0
3 years ago
Read 2 more answers
So sorry to ask another question but I need some help-
Vika [28.1K]

Answer:

14x + 23

Step-by-step explanation:

The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.

The perimeter of a triangle: the sum of all of its sides.

5x + 9 + 2x + 14 + 7x

14x + 23

It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.

7 0
2 years ago
Other questions:
  • Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression ,
    13·1 answer
  • Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd
    7·1 answer
  • The cost of product A is three times that of product B minus 7
    5·1 answer
  • How many times does 58 go into 556
    12·2 answers
  • Square root -100 =?<br> Please help!
    5·1 answer
  • What is the quotient of 33.288 and 7.6?<br>​
    11·1 answer
  • Triangle JKL with vertices J(1,-1), K(2,3), and L(3,-2) in the line x=4 ANSWER RIGHT NOW BEEN WAITING AN HOUR NOW
    6·1 answer
  • Determine whether the system has no, one, or infinitely many solutions.<br> y = -6<br>4x + y = 2​
    12·1 answer
  • Tony made $172.50 tutoring last weekend. He tutored for 7 1/2 hours. How much does Tony charge per hour to tutor?​
    11·1 answer
  • 6/27 simplified plz i need help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!