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Answer:

4x  + 2y  ≤  25   ,      x + y ≥  8     is the required system of inequalities to represent the given situation.

Step-by-step explanation:

Here, let  the number of color copies =  x

Now, the time taken to print each color copy = 4 minutes

⇒Time taken to print x color copies = x times ( Time taken by each copy)

= 4 (x)   = 4x

and let  the number gray scale copies =  y

The time taken to print each gray scale copy = 2 minutes

⇒Time taken to print y gray scale copy = y times (Time taken by each copy)

= 2 (y)   = 2y

Total copies printed = x + y

Maximum time taken to print x  color copies and y grayscale copies

= 4x  + 2y

So, according to the question:

4x  + 2y  ≤  25 ( as maximum allotted time is 25 minutes)

and x + y ≥  8      (as minimum number of copies is 8)

hence, the above system is the required system of inequalities to represent the given situation.

I hope this helps.

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19129107

2y - 3 = 4y + 6

Subtract 6 from both sides

2y -9 = 4y

Subtract 2y from both sides

-9 = 2y

Divide both sides by 2

Y = -9/2 or -4.5 as a decimal

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!

Answer:

t is a right angle q is a vertex of a right angle

Answer:

Parallel

Step-by-step explanation:

Using these points, we can determine that the equation is as follows:

Line B: y = -2/3x + 7/3

And since Line A has the same slope, it would make Line A's equations like this:

Line A: y = -2/3x - 11/3

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

Si.  es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l

c because the center of dilation is the multiplicatory value of the original point

Answer:

D: 1868

Step-by-step explanation:

43:20 ratio

43/20 = 2.15

869 * 2.15 = 1,868.35

round down to nearest whole number

1,868

Answer:

C

Step-by-step explanation:

Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)

m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

Answer:

9 1/3

Step-by-step explanation:

7 - 75%

x - 100%

[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]

Answer:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Step-by-step explanation:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Answer:

Each friend gets $20.25

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

Answer: Obtuse

Would appreciate brainly <3

Answer:

The car will drive 60 miles in 60 minutes (an hour)

Step-by-step explanation:

For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes

If the dog could fly, it would need to fly 147 meters to catch the helicopter

This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

Using pythagoras theorem, we have

120² + 85² = c²

c² = 14400 + 7225

c² = 21625

c = [tex]\sqrt{21625}[/tex]

c = ±147 meters.

Since distance cant be in the negative, our answer is 147 m

read more about pythagoras theorem here https://brainly.com/question/15138986

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]

Let's divide by 5 and play with the LHS of the first equation a bit:

[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.

[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]

Answer:

3/8

Step-by-step explanation:

Answer:

[tex]\boxed{\sf Slope:3/8}[/tex]

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]

[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]

[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]

_______________

[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]

[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]

_________________________________________

Answer:

B

Step-by-step explanation:

I only help you because you have nezuko as profile picture

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation

Answer:

x = 9

Step-by-step explanation:

Exterior Angle property of a triangle:

The Exterior Angle property states that:

"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."

In the given triangle RST:

∠VRS is the exterior angle, and

∠RTS and ∠RST are the interior opposite angles.

By using the above listed property,

∠VRS = ∠RTS + ∠RST

(Substituting the values of of angles from the figure)

=> (9x + 2) = 51 + (3x + 5)

=> 9x + 2 = 51 + 3x + 5

isolating x

=> 9x - 3x = 51 + 5 - 2

=> 6x = 54

dividing both sides by 6

=> x = 9

Answer:

the correct answer is 2x+3

Step-by-step explanation:

because your adding the (x) factors together then your adding a negitive to a positive so you would get a lower number

I hope it's about 1.8 sec

Answer:

Step-by-step explanation:

12-b

13-c

14-a

15-d

16-b

17-c

18-d]

Step-by-step explanation:

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the values of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

Answer:

48

Step-by-step explanation:

When you write out the problem it should look like this

15+c⋅2⋅d-c⋅3

or in other form

15+3⋅2⋅7-3⋅3

You can solve using PEMDAS

Paratheses

Exponents

Multiplication

Division

Addition

Subtraction

Just use those in order and you should find to answer.

-Rocketgamer360