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
What is another name for Angle 2? Lines E H and D F intersect at point G. Angle 2 is formed by line segments D G and G E and ang
astraxan [27]

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is A.

<h3>What is an angle?</h3>

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

The diagram for the given problem can be made as shown below. Therefore, the other name for angle 2 will be ∠DGE.

Hence, the correct option is A.

Learn more about Angle:

brainly.com/question/7116550

#SPJ1

8 0
2 years ago
Simplify (2*4)−1.
EastWind [94]

The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (2⁴)⁻¹

Using the properties of the integer exponent:

= 1/2⁴

The above number is one over two raised to the fourth power

Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

6 0
2 years ago
The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?
deff fn [24]
D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters

d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes

6 0
3 years ago
se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual
mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

1 gal=3.78 L

In addition, we are told you have filled the gallon with 2 L at a rate of \frac{2 L}{30 min}=0.06 L/min.

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the 2 L to the total amount of a gallon:

3.78 L-2 L=1.78 L This is the amount you need to complete the gallon

On the other hand, the rate is defined as:

rate=\frac{Liters}{time}

Isolating time:

time=\frac{Liters}{rate}

Then, if we input the 1.78 L we need to fill the gallon we will have the time:

time=\frac{1.78 L}{0.06 L/min}

time=29.66 min This is the time you need to fill the gallon

6 0
3 years ago
I need this question quick please
Aloiza [94]

Answer:

First one, second one, fourth one, and last one

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What's the answer for <br> x/2-5=3
    5·1 answer
  • PLEASE HELP!! 50 POINTS!!
    5·1 answer
  • Find the value of x such that sin (90-x) = cos 50
    8·2 answers
  • Which is heaviest <br><br> a bicycle <br> a pencil <br> a dog<br> an elephant
    6·1 answer
  • the cost of a pen is 3 times the cost of a pencil and cost of a notebooks is four times that of a pen. If the cost of 6 pencils,
    6·2 answers
  • Please Help!
    12·1 answer
  • What is the answer to 3•8-6/2
    7·1 answer
  • Solve the system by substitution. (Please Explain how you did it Ill give brainliest)
    6·1 answer
  • Please help me with this question...​
    15·1 answer
  • Use the fact that 135 X 37= 4,995 to find the value of 1,350 X 3,700?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!